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Powered by Question2AnswerAnswered: Find the equation of a straight line
https://www.mathhomeworkanswers.org/243333/find-the-equation-of-a-straight-line?show=243351#a243351
<p style="text-align:justify">ysin30=-xcos30+2; y=-xtan60+2cosec30=-xtan60+4=-x√3+4. When x=0, y=4 (y-intercept), y=0, x=4√3/3.</p>
<p style="text-align:justify">(i) The slope of the line is -tan60=-√3 and this is also the slope of the parallel line which has the equation:</p>
<p style="text-align:justify">y-3=-tan60(x-4) in slope-intercept form.</p>
<p style="text-align:justify">Therefore y=3-xtan60+4tan60=3+4√3-x√3 or xcos30+ysin30=3sin30+4cos30.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=11387987010219004747" style="height:314px; width:450px"></p>
<p style="text-align:justify">For a general point P(x,y) on the line, OX=YP=x and OY=XP=y. OT=OS+ST=OS+QP.</p>
<p style="text-align:justify">OS=xcos30 and QP=ysin30, so OT=xcos30+ysin30=2. OT is the radius of the circle of which the line xcos30+Ysin30=2 is a tangent.</p>
<p style="text-align:justify">(ii) ON is the length of the perpendicular on to the parallel line xcos30+ysin30=4cos30+3sin30. By analogy, ON=4cos30+3sin30=2√3+3/2 just as OT=2 for the other line.</p>
<p style="text-align:justify">(iii) The distance between the lines must therefore be the difference in the two radii, ON-OT=2√3+3/2-2=2√3-1/2.</p>
<p style="text-align:justify"> </p>Word Problem Answershttps://www.mathhomeworkanswers.org/243333/find-the-equation-of-a-straight-line?show=243351#a243351Thu, 22 Jun 2017 20:57:22 +0000Answered: Ruth took 11 minutes and 20 seconds to solve 5 problems. On the average, how long did she take to solve 1 problem?
https://www.mathhomeworkanswers.org/243197/took-minutes-seconds-solve-problems-average-solve-problem?show=243234#a243234
<p style="text-align: justify;">To find out how long she takes to solve 5 problems, we need to divide the time by 5.</p>
<p style="text-align: justify;">5 into 11 goes 2 and 1 minute over. A minute is 60 seconds, so we add 60 to 20 to get 80, then we divide by 5, so that's 16 seconds. Therefore the time taken to solve one problem (on average) is 2 minutes 16 seconds.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/243197/took-minutes-seconds-solve-problems-average-solve-problem?show=243234#a243234Tue, 20 Jun 2017 12:11:33 +0000Answered: Bethany cooked a total amount of 3 kg and 530 g of rice from Monday to Wednesday.
https://www.mathhomeworkanswers.org/243196/bethany-cooked-total-amount-530-rice-from-monday-wednesday?show=243218#a243218
<p><em>Bethany cooked a total amount of 3 kg and 530 g of rice from Monday to Wednesday. She cooked 4 kg 570 g from Thursday to Saturday. On average, how much rice did she cook per day?</em></p>
<p>Monday to wednesday is three days, with 3.53 kg cooked.</p>
<p>Thursday to saturday is three days, with 4.57 kg cooked.</p>
<p>Total number of days is three + three = 6,</p>
<p>Total weight cooked is 3.53 + 4.57 = 8.1 kg</p>
<p><span style="text-decoration: underline;"><strong>Average weight cooked is 8.1 / 6 = 1.35 kg/day</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/243196/bethany-cooked-total-amount-530-rice-from-monday-wednesday?show=243218#a243218Tue, 20 Jun 2017 04:32:19 +0000Answered: What number that is less than 50 000
https://www.mathhomeworkanswers.org/243176/what-number-that-is-less-than-50-000?show=243188#a243188
<p style="text-align:justify">ABCDE is the number. E=C+4 (ones digit is 4 more than hundreds digit). A=E-5. B=D=0. So A=C-1.</p>
<table border="1" cellpadding="1" cellspacing="1" style="width:500px">
<tbody>
<tr>
<td>A</td>
<td>B</td>
<td>C</td>
<td>D</td>
<td>E</td>
</tr>
<tr>
<td>1</td>
<td>0</td>
<td>2</td>
<td>0</td>
<td>6</td>
</tr>
<tr>
<td>2</td>
<td>0</td>
<td>3</td>
<td>0</td>
<td>7</td>
</tr>
<tr>
<td>3</td>
<td>0</td>
<td>4</td>
<td>0</td>
<td>8</td>
</tr>
<tr>
<td>4</td>
<td>0</td>
<td>5</td>
<td>0</td>
<td>9</td>
</tr>
</tbody>
</table>
<p style="text-align:justify">E is half of what? Is it 12, 14, 16 or 18? This would give one of the numbers 10206, 20307, 30408, 40509.</p>
<p style="text-align:justify">If C is half of E the answer is 30408. If E is half the combined digits AC (ten thousands and hundreds digits) then the answer is 10206.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/243176/what-number-that-is-less-than-50-000?show=243188#a243188Mon, 19 Jun 2017 17:55:15 +0000Answered: if you know the subtrahend and the difference, how can you find the minuend?
https://www.mathhomeworkanswers.org/46402/you-know-subtrahend-the-difference-can-you-find-the-minuend?show=243174#a243174
<p style="text-align: justify;">S=subtrahend, M=minuend, and D=difference. M-S=D. Therefore M=S+D (we added S to each side). The minuend is the sum of the other two, the subtrahend and difference.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/46402/you-know-subtrahend-the-difference-can-you-find-the-minuend?show=243174#a243174Mon, 19 Jun 2017 13:45:55 +0000Answered: what happen to the difference if the minuend and the subtrahend are each decreased by 1000
https://www.mathhomeworkanswers.org/243171/what-happen-difference-minuend-subtrahend-decreased-1000?show=243172#a243172
<p style="text-align: justify;">M-S=D so M-1000-(S-1000)=M-1000-S+1000=M-S=D so the difference isn't affected because the 1000 decreases cancel out.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/243171/what-happen-difference-minuend-subtrahend-decreased-1000?show=243172#a243172Mon, 19 Jun 2017 13:34:26 +0000Answered: what happens to the difference if the minuend is increased by 100 and the subtrahend is increased by 50
https://www.mathhomeworkanswers.org/243167/happens-difference-minuend-increased-subtrahend-increased?show=243168#a243168
<p style="text-align: justify;">M-S=D, so M+100-(S+50)=M+100-S-50=M-S+50 or D+50, so difference increases by 50.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/243167/happens-difference-minuend-increased-subtrahend-increased?show=243168#a243168Mon, 19 Jun 2017 12:25:44 +0000Answered: greatest number of 30000?
https://www.mathhomeworkanswers.org/243163/greatest-number-of-30000?show=243166#a243166
<p style="text-align:justify">Greatest is <30000.5 but >30000, and least is 29999.5. The greatest can't be identified exactly. 30000.4995 rounded to the nearest whole number is 30000, but so is 30000.4987654321 and many others. This is the rule of rounding. The best way to express it is ~<30000.5 or, in words, just less then 30000.5, as close as possible to 30000.5, because by the rules 30000.5 itself rounds to 30001.</p>
<p style="text-align:justify">You can also round numbers to the nearest ten, hundred, thousand, etc., but the question doesn't specify. For example, 30499 rounds to 30000 and so does 29500 if rounding to the nearest 1000 is required.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/243163/greatest-number-of-30000?show=243166#a243166Mon, 19 Jun 2017 11:22:05 +0000Answered: A $10000 loan is taken & is repaid by annual installments of $2000. Interest is charged on the outstanding debt at 10% p.a. find the number of years it takes for the mortgage to be repaid
https://www.mathhomeworkanswers.org/243109/annual-installments-interest-charged-outstanding-mortgage?show=243115#a243115
<p><em><span style="text-decoration: underline;">A $10000 loan is taken & is repaid by annual installments of $2000. Interest is charged on the outstanding debt at 10% p.a. find the number of years it takes for the mortgage to be repaid</span><span style="text-decoration: underline;"> </span></em></p>
<p>Principal, P = $10,000</p>
<p>Annual Repayment, R = $2,000</p>
<p>Annual interest, a = 10% p.a.</p>
<p>Number of years to repay loan, n yrs</p>
<p>The formula for mortgage repayment is,</p>
<p><span style="text-decoration: underline;">R = a.P / {1 - 1/(1+a)^n}</span></p>
<p>Rearranging,</p>
<p>{1 - 1/(1+a)^n} = a.P / R</p>
<p>1 - aP/R = 1/(1+a)^n</p>
<p>(1+a)^n = 1/(1 - aP/R)</p>
<p>(1+a)^n = R/(R - aP)</p>
<p>Substituting for the given values,</p>
<p>(1.1)^n = 2,000/(2,000 - 0.1*10,000)</p>
<p>(1.1)^n = 2,000/(1,000) = 2</p>
<p>n.ln(1.1) = ln(2)</p>
<p>n = ln(2)/ln(1.1) = {0.693147} / 0.09531</p>
<p><span style="text-decoration: underline;">n = 7.27254 yrs</span></p>
<p><span style="text-decoration: underline;"><strong>n = 7yrs 3 mths 8 days</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/243109/annual-installments-interest-charged-outstanding-mortgage?show=243115#a243115Sat, 17 Jun 2017 21:38:40 +0000Answered: karen earned $35,000 last year, she had to pay back 1/7 of what she made how much did she have to pay back?
https://www.mathhomeworkanswers.org/242990/karen-earned-000-last-year-back-what-made-how-much-did-have-back?show=242994#a242994
$35,000 x 1/7= $5,000Word Problem Answershttps://www.mathhomeworkanswers.org/242990/karen-earned-000-last-year-back-what-made-how-much-did-have-back?show=242994#a242994Thu, 15 Jun 2017 07:37:08 +0000Answered: A cylindrical tank has a diameter of 3.5m and height of 2.6m. If the water flowing in the tank, flows at a rate of 25 litres per second, how long will it take to fill the tank?
https://www.mathhomeworkanswers.org/242965/cylindrical-diameter-height-water-flowing-flows-litres-second?show=242966#a242966
<p><span style="text-decoration: underline;">A cylindrical tank has a diameter of 3.5m and height of 2.6m. If the water flowing in the tank, flows at a rate of 25 litres per second, how long will it take to fill the tank?</span><span style="text-decoration: underline;"> </span></p>
<p>Radius of tank is R = <span style="text-decoration: underline;">1.75 m</span></p>
<p>Height of tank is H = <span style="text-decoration: underline;">2.6 m</span></p>
<p>Vol of tank is V = pi.R^2.H</p>
<p>V = pi*(1.75)^2*2.6</p>
<p><span style="text-decoration: underline;">V = 25.015 m^3</span></p>
<p>Since 1 m^3 = 1,000 litres, then</p>
<p><span style="text-decoration: underline;">V = 25,105 litres</span></p>
<p>Water inflow rate is <span style="text-decoration: underline;">Vi = 25 litres / second</span></p>
<p><span style="text-decoration: underline;"><strong>Time taken to fill tank is: V/Vi = 25, 015 / 25 = 25,000 secs = 416.67 mins = 6 hrs 56 mins 40 secs</strong></span>
<br>
</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242965/cylindrical-diameter-height-water-flowing-flows-litres-second?show=242966#a242966Wed, 14 Jun 2017 13:39:24 +0000Answered: a number added to 8 and the result is multiplied by 5 and then added if the final answer is 35 what is the number
https://www.mathhomeworkanswers.org/242928/number-added-result-multiplied-added-final-answer-what-number?show=242935#a242935
<p style="text-align:justify">If the number is x then 5(x+8) is to be added to what? 5x+40 is already greater than 35 so whatever is added must be negative, unless the original number itself was negative. If 5(x+8) is added to the number itself we have 6x+40=35, 6x=-5 and x=-5/6.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242928/number-added-result-multiplied-added-final-answer-what-number?show=242935#a242935Tue, 13 Jun 2017 20:05:33 +0000Answered: A wheel cuts an inch of glass in two minutes how many minutes will it take to cut 6 inches
https://www.mathhomeworkanswers.org/242924/wheel-cuts-inch-glass-minutes-many-minutes-will-take-inches?show=242925#a242925
<p style="text-align: justify;">The time is proportional to the depth, so to cut 6" is 6 times the time to cut 1"=6*2=12 minutes.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242924/wheel-cuts-inch-glass-minutes-many-minutes-will-take-inches?show=242925#a242925Tue, 13 Jun 2017 18:34:39 +0000Answered: The sum of the ages of two brothers is 38. Four years ago the elder brothers age was square that of the younger brother. What are the ages of the two brothers?
https://www.mathhomeworkanswers.org/242891/brothers-years-elder-brothers-square-younger-brother-brothers?show=242896#a242896
<p><em>The sum of the ages of two brothers is 38. Four years ago the age of the elder brother was square that of the younger brother. What are the ages of the two brothers?</em></p>
<p>4 years ago, each brother would have been 4 years younger.</p>
<p>That means that the sum of their ages would have been 8 less than the sum of therir ages now. (8 = 2 * 4)</p>
<p>So, 8 years ago the sum of their ages would gave been 30.</p>
<p>The only two numbers, where one of them is the square of the other, and fit in this range, are 5 and 25.</p>
<p><span style="text-decoration: underline;"><strong>The ages of the brothers are: 9 yrs and 29 yrs</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/242891/brothers-years-elder-brothers-square-younger-brother-brothers?show=242896#a242896Tue, 13 Jun 2017 04:24:59 +0000Answered: After Fitrah spent 20% and Sophia spent 30% of her monthly salary,both had the same amount of money left.If Fitrah's monthly salary RM1800 how much was Sophia's monthly salary?
https://www.mathhomeworkanswers.org/242872/sophia-monthly-salary-fitrahs-monthly-rm1800-sophias-monthly?show=242881#a242881
<p><em>After Fitrah spent 20% and Sophia spent 30% of her monthly salary,both had the same amount of money left.If Fitrah's monthly salary RM1800 how much was Sophia's monthly salary? </em></p>
<p>Let Fitrah's monthly salary be F. (and F = RM 1800)</p>
<p>Let Sophia's monthly salary be S.</p>
<p>They are both left with the same amount. Call this amount X. Then,</p>
<p>(1 - 20%)*F = X (Fitrah spent 20% and was left with X)</p>
<p>(1 - 30%)*S = X (Sophia spent 30% and was left with X)</p>
<p>Simplifying these eqns,</p>
<p>0.8*F = X</p>
<p>0.7*S = X (now substitute for F = 1800)</p>
<p>0.8*1800 = X</p>
<p>0.7S = X</p>
<p>From 0.8*1800 = X, then X = <span style="text-decoration: underline;">1440</span></p>
<p>From 0.7S = X = 1440, then S = 1440/0.7 = <span style="text-decoration: underline;">2057.14</span></p>
<p><span style="text-decoration: underline;">Sophia's monthly salary is: RM 2057.14</span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/242872/sophia-monthly-salary-fitrahs-monthly-rm1800-sophias-monthly?show=242881#a242881Mon, 12 Jun 2017 16:33:42 +0000Answered: If increasing 30 by P% gives the same result as decreasing 90 by P% , what is the value of P ?
https://www.mathhomeworkanswers.org/242855/increasing-gives-the-same-result-decreasing-what-the-value?show=242862#a242862
<p><em>If increasing 30 by P% gives the same result as decreasing 90 by P% , what is the value of P ? </em></p>
<p>Let the result in both cases be R. Then,</p>
<p>(1 + P/100)*30 = R (increasing 30 by P%)</p>
<p>(1 - P/100)*90 = R (decreasing 90 by P%)</p>
<p>Subtracting the 2nd eqn from the 1st eqn,</p>
<p>(30 + (3/10)P) - (90 - (9/10)P) = 0</p>
<p>(30 - 90) + (3/10 + 9/10)P = 0</p>
<p>-60 + (12/10)P = 0</p>
<p>6P/5 = 60</p>
<p><strong><span style="text-decoration: underline;">P = 50</span></strong></p>
<p><span style="text-decoration: underline;">Check</span></p>
<p>(increasing 30 by 50%) 30 + 15 = <span style="text-decoration: underline;">45</span></p>
<p>(decreasing 90 by 50%) 90 - 45 = <span style="text-decoration: underline;">45</span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/242855/increasing-gives-the-same-result-decreasing-what-the-value?show=242862#a242862Mon, 12 Jun 2017 07:01:16 +0000Answered: A farmer owns a farm of 632 hectares. He buys an adjoining farm of 528hectares. How many hectares of farm does he now own?
https://www.mathhomeworkanswers.org/242721/farmer-hectares-adjoining-528hectares-many-hectares-does?show=242751#a242751
632+528=1160 hectares.Word Problem Answershttps://www.mathhomeworkanswers.org/242721/farmer-hectares-adjoining-528hectares-many-hectares-does?show=242751#a242751Fri, 09 Jun 2017 13:11:22 +0000Answered: find the perimeter of a parallelogram whose base is6cm and side5cm
https://www.mathhomeworkanswers.org/242709/find-perimeter-parallelogram-whose-base-is6cm-and-side5cm?show=242713#a242713
<p style="text-align: justify;">The perimeter is just the sum of all four sides: 6+5+6+5=22 units. There are two pairs of sides of equal length.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242709/find-perimeter-parallelogram-whose-base-is6cm-and-side5cm?show=242713#a242713Thu, 08 Jun 2017 11:12:12 +0000Answered: A typist paid a basic wage of 22.50 per hour for a 40 hour week with overtime is paid at one and half times the hourly rate
https://www.mathhomeworkanswers.org/242694/typist-basic-hour-hour-with-overtime-paid-half-times-hourly?show=242706#a242706
Weekly wage=40*22.50=900.<br />
<br />
1hr overtime=22.50+11.25=33.75.<br />
<br />
TOTAL: 933.75Word Problem Answershttps://www.mathhomeworkanswers.org/242694/typist-basic-hour-hour-with-overtime-paid-half-times-hourly?show=242706#a242706Thu, 08 Jun 2017 09:19:12 +0000Answered: Edna paid at least Php1,200 for a pair of pants and a blouse. The cost of the pair of pants is Php600 more than the cost of the blouse.
https://www.mathhomeworkanswers.org/242702/edna-least-php1-pair-pants-blouse-cost-pants-php600-more-blouse?show=242704#a242704
<p style="text-align:justify">We subtract 600 from the total cost and get 1200-600=600. We have removed the difference between the cost of the individual items, so we are now left with the cost of two blouses. The cost of one blouse is therefore 600/2=Php300. The pair of pants is 600 more than this=Php900. </p>
<p style="text-align:justify">The question says "at least", so the blouse costs at least Php300 and the pants cost exactly Php600 more than this.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242702/edna-least-php1-pair-pants-blouse-cost-pants-php600-more-blouse?show=242704#a242704Thu, 08 Jun 2017 09:09:11 +0000Answered: help solve this problems
https://www.mathhomeworkanswers.org/242587/help-solve-this-problems?show=242629#a242629
11years=132months. 9% p.a. is 9/12%=0.75% per month=0.0075.<br />
<br />
Growth=1.0075^132=2.6813 approx, so 5000 grows to 13406.56 approx.<br />
<br />
The interest=13406.56-5000=N$8406.56.<br />
<br />
15%pa=0.0125pm; 0.0375pq; 0.075semiannually.<br />
<br />
10 years=120 months; 40 quarters; 20 6-month periods.<br />
<br />
Growth=4.4402, 4.3604, 4.2479 respectively.<br />
<br />
Accumulated=66603.20, 74126.44, 76461.32 in N$.Word Problem Answershttps://www.mathhomeworkanswers.org/242587/help-solve-this-problems?show=242629#a242629Tue, 06 Jun 2017 16:46:27 +0000Answered: 72 is 80% of what number
https://www.mathhomeworkanswers.org/242540/72-is-80%25-of-what-number?show=242589#a242589
<p><em>72 is 80% of what number </em></p>
<p>Let the number be N.</p>
<p>Then 72 = 80% of N</p>
<p>i.e. 72 = 0.8 * N</p>
<p>or N = 72 / 0.8 = 720/8 = <span style="text-decoration: underline;">90</span></p>
<p><span style="text-decoration: underline;"><strong>Answer: N= 90</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/242540/72-is-80%25-of-what-number?show=242589#a242589Mon, 05 Jun 2017 20:31:31 +0000Answered: The cost of hiring a car for a day is $60 plus 0.25 cents per kilometer. Michelle travels 750 kilometers. What is her total cost
https://www.mathhomeworkanswers.org/242450/hiring-cents-kilometer-michelle-travels-kilometers-total?show=242451#a242451
<p><em>The cost of hiring a car for a day is $60 plus 0.25 cents per kilometer. Michelle travels 750 kilometers. What is her total cost.</em></p>
<p>There are two costs here. Cost per day and cost per kilometer.</p>
<p>Assuming that she only drives for one day,</p>
<p>Her daily cost is: $60 * 1 = <span style="text-decoration: underline;">$60</span></p>
<p>Her milage cost is: 750 km * 0.25c per km = 750 * 0.25 = 187.5c = $1.875 = <span style="text-decoration: underline;">$1.87</span></p>
<p><span style="text-decoration: underline;"><strong>Total Cost = $60.00 + $1.87 = $61.87</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/242450/hiring-cents-kilometer-michelle-travels-kilometers-total?show=242451#a242451Fri, 02 Jun 2017 06:21:24 +0000Answered: can i please get help on this word problem
https://www.mathhomeworkanswers.org/242429/can-i-please-get-help-on-this-word-problem?show=242433#a242433
<p style="text-align: justify;">Let S=cost per kg of sugar and M=cost per kg of maize meal.</p>
<p style="text-align: justify;">2S+5M=41; 3S+10M=74.50.</p>
<p style="text-align: justify;">So 4S+10M=82. But 10M=74.50-3S so 4S+74.50-3S=82; S+74.50=82 and S=82-74.50=7.50.</p>
<p style="text-align: justify;">Now we can work out M: 5M=41-2S=41-15=26, making M=26/5=N$5.20.</p>
<p style="text-align: justify;">So 12kg of maize meal costs 12*5.20=N$62.40.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242429/can-i-please-get-help-on-this-word-problem?show=242433#a242433Thu, 01 Jun 2017 21:01:43 +0000Answered: help please
https://www.mathhomeworkanswers.org/242430/help-please?show=242432#a242432
<p style="text-align: justify;">80 history books cost 80*85.50=6840. If we take this from the school budget we get 13777.50-6840=6937.50. If this is spent on 75 mathematics books, each one must cost 6937.50/75=N$92.50.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242430/help-please?show=242432#a242432Thu, 01 Jun 2017 20:41:54 +0000Answered: I am a number cubed. I,am grater than 90, but lesa than 140.i am a multiple of 5.what number am i?
https://www.mathhomeworkanswers.org/242419/number-cubed-grater-than-but-lesa-than-multiple-what-number?show=242424#a242424
<p><span style="text-decoration: underline;">I am a number cubed. I,am grater than 90, but lesa than 140.i am a multiple of 5.what number am i?</span><span style="text-decoration: underline;"> </span></p>
<p>The cubes of some numbers.</p>
<p>4^3 = 64</p>
<p>5^3 = 125</p>
<p>6^3 = 216</p>
<p>we have 90 < 125 < 140, and 125 is a multiple of 5</p>
<p><span style="text-decoration: underline;"><strong>The number is: 125</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/242419/number-cubed-grater-than-but-lesa-than-multiple-what-number?show=242424#a242424Thu, 01 Jun 2017 15:07:00 +0000Answered: 5 years after high school seniors graduated , 450 had a college degree and 300 were married. Half of the students with a college degree were married
https://www.mathhomeworkanswers.org/241820/seniors-graduated-college-married-students-college-married?show=242418#a242418
<p style="text-align:justify">Half the students with a college degree=225 students were married. The remaining 75 married students may or may not have had a degree. If only half of those with a degree were married, the remaining 75 married students did not have a degree.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241820/seniors-graduated-college-married-students-college-married?show=242418#a242418Thu, 01 Jun 2017 11:05:05 +0000Answered: Make T the subject of the formula L=3 √m²-T²÷Px hence evaluate T when M=10,P=6,x=⅔ and L=3
https://www.mathhomeworkanswers.org/241990/make-the-subject-of-the-formula-%E2%88%9Am%C2%B2-hence-evaluate-when-10-and?show=242414#a242414
L=3√(m^2-T^2)/Px<br />
<br />
PxL/3=√(m^2-T^2)<br />
<br />
Square both sides: (PxL/3)^2=m^2-T^2<br />
<br />
T^2=m^2-(PxL/3)^2, T=±√(m^2-(PxL/3)^2)=±(1/3)√(9m^2-(PxL)^2).<br />
<br />
PxL=6*(2/3)*3=12.<br />
<br />
T=±(1/3)√(900-144)=±(1/3)√756=2√21=±9.1652 approx.Word Problem Answershttps://www.mathhomeworkanswers.org/241990/make-the-subject-of-the-formula-%E2%88%9Am%C2%B2-hence-evaluate-when-10-and?show=242414#a242414Thu, 01 Jun 2017 10:29:22 +0000Answered: how to solve this word problem
https://www.mathhomeworkanswers.org/242369/how-to-solve-this-word-problem?show=242409#a242409
<p><em>A retailer incurs a fixed cost of N$ 330when purchasing sugar for his stock. He pays N$15.00 per packet which he resells at N$18.00 per packet. How many packets should he purchase and sell in order to break even?</em></p>
<p>Let us suppose that he buys X packets. Then his costs are:</p>
<p>X packets at $15 per packet comes to <span style="text-decoration: underline;">$15X</span></p>
<p>Fixed cost comes to <span style="text-decoration: underline;">$330</span></p>
<p><span style="text-decoration: underline;">Total costs = $(330 + 15X)</span></p>
<p> </p>
<p><span style="text-decoration: underline;">Sales revenue</span></p>
<p>He sells the X packets at $18 per packet</p>
<p>Income is <span style="text-decoration: underline;">$18X</span></p>
<p>Profit is P = Income - Costs</p>
<p>P = 18X - (330 +15X)</p>
<p>If he breaks even then there is no profit and P = 0, i.e.</p>
<p>18X - (330 + 15X) = 0</p>
<p>18X - 15X = 330</p>
<p>3X = 330</p>
<p><span style="text-decoration: underline;">X = 110</span></p>
<p><span style="text-decoration: underline;"><strong>Our retailer will break even if he sells 110 packets of sugar</strong></span></p>
<p><span style="text-decoration: underline;"><strong>To make a profit, The retailer must buy, and sell, more than 110 packets</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/242369/how-to-solve-this-word-problem?show=242409#a242409Thu, 01 Jun 2017 05:45:21 +0000Answered: what is 18x12
https://www.mathhomeworkanswers.org/41787/what-is-18x12?show=242325#a242325
12 x 18 = 216.<br />
<br />
buy a calculatorWord Problem Answershttps://www.mathhomeworkanswers.org/41787/what-is-18x12?show=242325#a242325Tue, 30 May 2017 22:45:24 +0000Answered: Find percentage of persons who read all the news papers
https://www.mathhomeworkanswers.org/242184/find-percentage-of-persons-who-read-all-the-news-papers?show=242211#a242211
<p> <img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=7054507944733604275" style="height:417px; width:400px"> 188 </p>
<p>In above Venn diagram the letters label regions identified as follows:</p>
<p>All the numbers are percentages.</p>
<p>A Non-readers (8)</p>
<p>B Read newspaper A only</p>
<p>C Read newspaper B only</p>
<p>D Read newspaper C only</p>
<p>E Read A and C only </p>
<p>F Read B and C only </p>
<p>G Read A and B only </p>
<p>H Read all three newspapers</p>
<p>A+B+C+D+E+F+G+H=100 (all the people)</p>
<p>B+C+D+E+F+G+H=100-8=92</p>
<p>B+E+G+H=42 (A readers); </p>
<p>C+F+G+H=51 (B readers)</p>
<p>D+E+F+H=68 (C readers)</p>
<p style="text-align:justify">We have to interpret the statement: 36% read A and C. This could mean they (a) Read A and C only or (b) Read A and C and possibly B. Similarly with the 28% reading B and C and the 30% reading A and B.</p>
<p style="text-align:justify">If we look at (a) first, this implies that E+G=30+36=66; but E+G+B+H=42, so B+H=-24, which cannot be since all the percentages have to be positive. So interpretation (b) is the acceptable one. This means that:</p>
<p style="text-align:justify">(E+H)+(G+H)=E+G+2H=30+36=66 and E+G=66-2H, so:</p>
<p style="text-align:justify">E+G+B+H=42=66-2H+B+H=66+B-H.</p>
<p style="text-align:justify">Therefore H-B=24 or B=H-24. Now we have B and E+G in terms of H.</p>
<p style="text-align:justify">Similarly, (E+H)+(F+H)=E+F+2H=36+28=64 and E+F=64-2H, so:</p>
<p style="text-align:justify">E+F+D+H=68=64-2H+D+H=64+D-H.</p>
<p style="text-align:justify">Therefore 4=D-H or D=H+4.</p>
<p style="text-align:justify">And (F+H)+(G+H)=F+G+2H=58 and F+G=58-2H, so:</p>
<p style="text-align:justify">F+G+C+H=51=58-2H+C+H=58+C-H.</p>
<p style="text-align:justify">Therefore H-C=7 or C=H-7.</p>
<p style="text-align:justify">Substituting for the variables that we have in terms of H, we can write:</p>
<p style="text-align:justify">(E+G)+(E+F)+(F+G)=66-2H+64-2H+58-2H=188-6H=2(E+F+G); E+F+G=94-3H.</p>
<p style="text-align:justify">B+C+D=H-24+H-7+H+4=3H-27 so B+C+D+E+F+G+H=3H-27+94-3H+H=92.</p>
<p style="text-align:justify">H=92-94+27=25, so 25% of the people read all three newspapers.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242184/find-percentage-of-persons-who-read-all-the-news-papers?show=242211#a242211Sun, 28 May 2017 12:57:05 +0000Answered: if (l+a)/n-1=d and 2x=n(a+l). Express x in terms of n and d only
https://www.mathhomeworkanswers.org/242157/if-l-a-n-1-d-and-2x-n-a-l-express-x-in-terms-of-n-and-d-only?show=242168#a242168
<p><a rel="nofollow" href="https://www.mathhomeworkanswers.org/242157/if-l-a-n-1-d-and-2x-n-a-l-express-x-in-terms-of-n-and-d-only" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 122, 183); text-decoration-line: none;">l+a)/n-1=d </a>
<br>
<a rel="nofollow" href="http://ibelitetutor.com/blog">1+a=d(n-1)</a></p>
<p><a rel="nofollow" href="http://ibelitetutor.com/blog">a=nd-d-1
<br>
<br>
and we know </a></p>
<p><a rel="nofollow" href="https://www.mathhomeworkanswers.org/242157/if-l-a-n-1-d-and-2x-n-a-l-express-x-in-terms-of-n-and-d-only" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 122, 183); text-decoration-line: none;">2x=n(a+l)</a><a rel="nofollow" href="http://ibelitetutor.com/blog"> so 2x=n(nd-d-1+1)</a></p>
<p> 2x=n(nd-d)
<br>
so x=dn(n-1)/2</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242157/if-l-a-n-1-d-and-2x-n-a-l-express-x-in-terms-of-n-and-d-only?show=242168#a242168Sat, 27 May 2017 17:20:19 +0000Answered: Show that for all real values of x, ((x^2)+2x+1)/(x+1) does not lie between -3 and 1.
https://www.mathhomeworkanswers.org/242127/show-that-for-all-real-values-of-2x-does-not-lie-between-3-and-1?show=242152#a242152
<p>The numerator can be written (x+1)^2, so the expression reduces to x+1 as long as x≠-1.</p>
<p style="text-align: justify;">But this value of x is the only prohibited value, so it is not true that the expression does not lie between -3 and 1. For example, when x=-2, the expression has a value of -1 which lies between -3 and 1.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242127/show-that-for-all-real-values-of-2x-does-not-lie-between-3-and-1?show=242152#a242152Sat, 27 May 2017 01:59:27 +0000Answered: Express 20 minutes to 1 hour as simply as possible in ratio and proportion
https://www.mathhomeworkanswers.org/242135/express-minutes-hour-simply-possible-ratio-and-proportion?show=242149#a242149
1hr=60 minutes, so 20:60=1:3.Word Problem Answershttps://www.mathhomeworkanswers.org/242135/express-minutes-hour-simply-possible-ratio-and-proportion?show=242149#a242149Sat, 27 May 2017 01:45:52 +0000Answered: A can is 10cm wide and 12cm high. How much can it hold?
https://www.mathhomeworkanswers.org/241993/a-can-is-10cm-wide-and-12cm-high-how-much-can-it-hold?show=242112#a242112
<p style="text-align:justify">10cm wide means the diameter is 10cm. The volume of the can is πr^2h (base area times height), and we have r=10/2=5cm. And h=12cm. So the volume is 25*12*π=300π cc = 942.5cc approx (0.9425 litre). Volume is the same as capacity and 1cc=1ml.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241993/a-can-is-10cm-wide-and-12cm-high-how-much-can-it-hold?show=242112#a242112Fri, 26 May 2017 01:48:20 +0000Answered: A roll of material with dimensions 25m long and 150cm wide is given to make 600 cylindrical pencil cases calculate using A=LxB
https://www.mathhomeworkanswers.org/242055/material-dimensions-given-cylindrical-pencil-cases-calculate?show=242110#a242110
<p style="text-align: justify;">25m=2500cm. Area of pencil case=2(πr^2) [top and bottom surfaces]+2πrh [curved surface of the cylinder], where h=17.8cm, r=9.5/2=4.75cm. Total SA of case=2πr(r+h)=2π(4.75)(4.75+17.8)=9.5π(22.55) sq cm.</p>
<p style="text-align: justify;">600 cases have a total SA of 5700π(22.55) sq cm = 128535π sq cm = 403805 sq cm approx.</p>
<p style="text-align: justify;">Area of sheet=2500*150=375000 sq cm, which does not cover the required surface area.</p>
<p style="text-align: justify;">The deficiency is 28805 sq cm (at least).</p>Word Problem Answershttps://www.mathhomeworkanswers.org/242055/material-dimensions-given-cylindrical-pencil-cases-calculate?show=242110#a242110Thu, 25 May 2017 22:41:16 +0000If the base is greater than 0 but less than 1, then the graph will show exponential decay.
https://www.mathhomeworkanswers.org/241980/greater-than-less-than-then-graph-will-show-exponential-decay
True or falseWord Problem Answershttps://www.mathhomeworkanswers.org/241980/greater-than-less-than-then-graph-will-show-exponential-decayTue, 23 May 2017 14:10:03 +0000Answered: a two digit number in base ten is equal to 5 times the sum of the digits. it is 9 less than the number formed when the digits are interchanged. find the number
https://www.mathhomeworkanswers.org/241972/digit-number-digits-number-formed-digits-interchanged-number?show=241974#a241974
<p><em>a two digit number in base ten is equal to 5 times the sum of the digits. it is 9 less than the number formed when the digits are interchanged. find the number </em></p>
<p>Let the two digits be a and b, such that the number n = ab, meaning n = 10a + b, then</p>
<p>n = 5(a + b) (a two digit number in base ten is equal to 5 times the sum of the digits)</p>
<p>n = (10b + a) - 9 (it is 9 less than the number formed when the digits are interchanged.)</p>
<p>Our three equations then are,</p>
<p>n = 10a + b ------------------------ (1)</p>
<p>n = 5a + 5b ------------------------ (2)</p>
<p>n = a + 10b - 9 --------------------- (3)</p>
<p>2*(2) - (1), 5*(3) - (2)</p>
<p>n = 9b</p>
<p>4n = 45b - 45</p>
<p>substituting for n = 9b,</p>
<p>36b = 45b - 45</p>
<p>9b = 45</p>
<p><span style="text-decoration: underline;">b = 5</span>, <span style="text-decoration: underline;">a = 4</span></p>
<p><strong>Ans: number is n = 45</strong></p>Word Problem Answershttps://www.mathhomeworkanswers.org/241972/digit-number-digits-number-formed-digits-interchanged-number?show=241974#a241974Tue, 23 May 2017 12:24:41 +0000Answered: word problems
https://www.mathhomeworkanswers.org/241965/word-problems?show=241971#a241971
<p><em>A father is 30 years older than his son. In ten years times he will be three times as old as his son. Calculate the present age of each one</em></p>
<p>Let F = father's current age</p>
<p>Let S = son's current age</p>
<p>Then,</p>
<p>F = S + 30 (A father is 30 years older than his son)</p>
<p>Now add on 10 years, giving</p>
<p>F + 10 = 3(S + 10) (In ten years times he will be three times as old as his son.)</p>
<p>Substituting for F = S + 30,</p>
<p>(S + 30) + 10 = 3(S + 10)</p>
<p>S + 40 = 3S + 30</p>
<p>10 = 2S</p>
<p><span style="text-decoration: underline;"><strong>S = 5, F = 35</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/241965/word-problems?show=241971#a241971Tue, 23 May 2017 09:49:38 +0000Answered: B and C are sets of real numbers as follows
https://www.mathhomeworkanswers.org/241833/b-and-c-are-sets-of-real-numbers-as-follows?show=241842#a241842
<p style="text-align:justify">The intersection of the sets is { x | x>7 } this is the set of elements common to B and C.
<br>
<br>
The union of the sets is { x | x≥3 }
<br>
<br>
The inverse of B in <strong>R</strong> is { x | x<3 } and the inverse of C in <strong>R</strong> is { x | x≤7 }
<br>
<br>
The set { x | 3≤x≤7 } is the intersection of B and not C (or B and the inverse of C).</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241833/b-and-c-are-sets-of-real-numbers-as-follows?show=241842#a241842Thu, 18 May 2017 17:12:50 +0000Answered: answer and explain the pattern rule!!!
https://www.mathhomeworkanswers.org/241814/answer-and-explain-the-pattern-rule?show=241818#a241818
<p><em>explain and answer the pattern rule.</em></p>
<p>1.3, 2.4, 3.5, (?), 5.7</p>
<p>The sequence we have here is an arithmetic sequence, with first term 1.3 and common difference = 1.1</p>
<p><span style="text-decoration: underline;"><strong>The full sequence is: 1.3, 2.4, 3.5, 4.6, 5.7, where there is a common difference of 1.1 between successive elements</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/241814/answer-and-explain-the-pattern-rule?show=241818#a241818Wed, 17 May 2017 07:02:19 +0000Answered: explain the pattern
https://www.mathhomeworkanswers.org/241813/explain-the-pattern?show=241817#a241817
<p><em>Explain the pattern: 1200, 800 (?), 0</em></p>
<p>Your pattern seems to represnt an arithmetic progression. with first term 1200, and common difference = (-400).</p>
<p><span style="text-decoration: underline;"><strong>The full sequence is: 1200, 800, 400, 0 (there is a common difference of (-400) between successive elements)</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/241813/explain-the-pattern?show=241817#a241817Wed, 17 May 2017 06:57:54 +0000Answered: Finding mass of eight 16 year old boys. When four 12 year old boys has their mass of 144kg
https://www.mathhomeworkanswers.org/241788/finding-mass-eight-boys-when-four-year-boys-their-mass-144kg?show=241792#a241792
<p><em>Finding mass of eight 16 year old boys. When four 12 year old boys has their mass of 144kg </em></p>
<p>we are going to make some assumptionms here.</p>
<p>1st assumption: all 12 year old boys have the same weight.</p>
<p>2nd assumption: all 16 year old boys have the same weight.</p>
<p>3rd assumption: weight increases from 12 to 16 years at a constant rate.</p>
<p> </p>
<p>we have 4 boys weighing 144 kg,</p>
<p>Therefore each 12 year old boy weighs 36 kg</p>
<p>Using our 3rd assumption, at age 16, the child's weight would be 36 *(16/12) = 48 kg</p>
<p><span style="text-decoration: underline;"><strong>Therefore weight of 8 16 year old boys would be: 8*48 = 384 kg</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/241788/finding-mass-eight-boys-when-four-year-boys-their-mass-144kg?show=241792#a241792Tue, 16 May 2017 06:26:51 +0000Answered: The water authority charges $10.00 per month for the meter rent , $25.00 for the first 100 liters and $ 1.00 for each additional 10 liters. What is the total bill for 250 liters used in one month?
https://www.mathhomeworkanswers.org/241785/authority-charges-first-liters-additional-liters-total-liters?show=241791#a241791
<p><em>The water authority charges $10.00 per month for the meter rent , $25.00 for the first 100 liters and $ 1.00 for each additional 10 liters. What is the total bill for 250 liters used in one month? </em></p>
<p>Standing charge: $10.00 per month</p>
<p>First 100 litres: $25.00 per litre</p>
<p>Additional litres: $1.00 per litre</p>
<p> </p>
<p>Monthly usage is: 250 litres</p>
<p><span style="text-decoration: underline;">The first 100 litres costs: $25 * 100 = $2, 500</span></p>
<p>There are 250 - 100 = 150 litres additional</p>
<p><span style="text-decoration: underline;">Cost of additional litres is: $1.00 * 150 = $150</span></p>
<p>Now add on standing charge of <span style="text-decoration: underline;">$10.00</span></p>
<p>Total charge for the month is: $2, 500 + $150.00 + $10.00 = <span style="text-decoration: underline;">$2, 660</span></p>
<p><span style="text-decoration: underline;"><strong>Monthly charge is: $2, 660</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/241785/authority-charges-first-liters-additional-liters-total-liters?show=241791#a241791Tue, 16 May 2017 06:00:39 +0000Answered: A sum is 181000.00 was shared among 5 boys and 4 girls with each boy taking 20.00 more then each girl.find a boy share
https://www.mathhomeworkanswers.org/241781/181000-shared-among-girls-each-taking-more-each-girl-find-share?show=241782#a241782
<p style="text-align: justify;">Let the boy's share be B then the girl's share is B-20 and 5B+4(B-20)=181000; 9B-80=181000, 9B=181080 and B=181080/9=20120. So each boy's share is 20120.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241781/181000-shared-among-girls-each-taking-more-each-girl-find-share?show=241782#a241782Mon, 15 May 2017 16:57:51 +0000Answered: How to find the degrees in a fraction ?
https://www.mathhomeworkanswers.org/241678/how-to-find-the-degrees-in-a-fraction?show=241703#a241703
<p style="text-align:justify">A decimal is a fraction in a sense. 2.3 is the same as 2 3/10. And 0.3 is the same as 3/10. 3/10 can be divided into thirds: 1/10+1/10+10 or 1/10+2/10 (1/10+1/5). So, you can take any decimal and count the decimal places. Remove the decimal point so that you are left with the number that formed the decimal then divide this by 1 followed by the same number of zeroes as there were decimal places. Example: 0.1234 is the same as <a href="denied:tel:1234/10000" rel="nofollow">1234/10000</a>. This cancels down to: 617/5000.</p>
<p style="text-align:justify">Going back to 0.3, we can divide the decimal further: 0.3=3/10=1/25+3/50+2/15+1/15, and so on.</p>
<p style="text-align:justify">When it comes to angles we can convert decimal angles into degrees, minutes and seconds. So 4.75º is 4º plus 0.75 of a degree. But a degree is 60 minutes and 0.75 is the same as 75/100=3/4. Therefore 0.75º is 3/4 of 60 minutes=3*60/4=45 minutes. And 4.75º=4º45'.</p>
<p style="text-align:justify">Another example:</p>
<p style="text-align:justify">4.7625 = 4+7625/10000 = 4+61/80 = 4º45.75' = 4º45'45", because 61/80*60=183/4=45.75, and 0.75' =45" (seconds).</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241678/how-to-find-the-degrees-in-a-fraction?show=241703#a241703Wed, 10 May 2017 20:43:36 +0000Answered: frustum of a rightcircularcone w/ slant height 7 in & radii of bases 3in&7in. How much material is used in the side material if 1/2 in is allowed for the seam?
https://www.mathhomeworkanswers.org/241592/frustum-rightcircularcone-3in%267in-material-material-allowed?show=241656#a241656
<p style="text-align:justify">The surface area of a cone of slant length L and base radius R is πRL. This doesn't include the base area of πR^2. So the surface area of the frustum is π(R1L1-R2L2) where R1, R2 are the top and base radii and L1, L2 are the full slant lengths of the cones. It's assumed that L1=7 for the right cone. We know that the ratio R2/R1=3/7. This ratio applies to L2/L1 and the heights of the nested cones H1, H2.</p>
<p style="text-align:justify">So we can substitute R1=7, R2=3, L1=7, L2=3L1/7=3. The surface area of the frustum without the extra material for the seam is π(49-9)=40π. If we assume the extra material for the seam forms a truncated sector with a base extension of ½", we need to calculate how much material this is.</p>
<p style="text-align:justify">The sector length at the base of the original cone is S=Rø where ø is the angle of the sector. S=½" and R=R1=7 so ø=1/14. The area of the sector is øR1^2=49/14. For the smaller cone the sector area is øR2^2=9/14 and the difference is the area of extra material we need=40/14=20/7 sq in. Therefore the total amount of material is 40π+20/7 sq in=128.52 sq in.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241592/frustum-rightcircularcone-3in%267in-material-material-allowed?show=241656#a241656Tue, 09 May 2017 15:16:45 +0000Answered: A trader bought 60 kg of cabbages for sh 800. Twenty kilograms of cabbages went bad but he sold the remaining cabbages at sh 15.00 per kg. How much was the loss
https://www.mathhomeworkanswers.org/241595/bought-cabbages-twenty-kilograms-cabbages-remaining-cabbages?show=241642#a241642
Because 20kg went bad, it cost sh 800 for 40kg.<br />
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He sold 40kg for 40*15=sh 600 so his loss was 800-600=sh 200, which is sh 5 loss per kg.Word Problem Answershttps://www.mathhomeworkanswers.org/241595/bought-cabbages-twenty-kilograms-cabbages-remaining-cabbages?show=241642#a241642Mon, 08 May 2017 20:00:04 +0000Answered: At what distance from the base of a right circular cone must a plane be passed parallel to the base so the volume of that frustum will be 2/5 the volume of the given cone?
https://www.mathhomeworkanswers.org/241591/distance-right-circular-passed-parallel-volume-frustum-volume?show=241594#a241594
<p style="text-align:justify">If the original height of the cone is H, we have two similar cones formed by the intersecting plane. If the height of the smaller cone is h and base radius r, and the base radius of the frustum is R, then we can write p=h/H=r/R, where p is a ratio.</p>
<p style="text-align:justify">The ratio of the volume of the two cones is hr^2/HR^2 and the ratio of the volume of the frustum to the original cone is 2/5=1-hr^2/(HR^2)=1-p^3, so p^3=3/5 and p=(3/5)^(1/3).</p>
<p style="text-align:justify">If the height of the plane from the base is x, then p=h/(h+x) because H=h+x. Therefore x/h=(1-p)/p=0.291 approx.</p>
<p style="text-align:justify">So x=0.291h or about 29.1% of the height of the original cone.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/241591/distance-right-circular-passed-parallel-volume-frustum-volume?show=241594#a241594Sat, 06 May 2017 15:06:31 +0000A concrete spherical shell is constructed for building aesthetic. The contractor designated 6 in for its thickness and 24π sq ft for interior area, how much concrete is required for this project?
https://www.mathhomeworkanswers.org/241576/spherical-constructed-aesthetic-contractor-designated-thickness
Solid Mesturation problem. Pleasse Help.Word Problem Answershttps://www.mathhomeworkanswers.org/241576/spherical-constructed-aesthetic-contractor-designated-thicknessFri, 05 May 2017 04:57:24 +0000