Math Homework Answers - Recent questions and answers
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Powered by Question2AnswerAnswered: 6.6mm of rain fall onto a rectangular roof 8m long and 6m wide. The rain water drains into a cylindrical barrel of diameter 60cm. How far does the water level rise in the barrel
https://www.mathhomeworkanswers.org/243614/rectangular-drains-cylindrical-barrel-diameter-water-barrel?show=243618#a243618
<p><em>6.6mm of rain fall onto a rectangular roof 8m long and 6m wide. The rain water drains into a cylindrical barrel of diameter 60cm. How far does the water level rise in the barrel </em></p>
<p>Depth of rain = D = 0.66 cm</p>
<p>Width of rain = W = 600 cm</p>
<p>Length of rain = L = 800 cm</p>
<p>Volume of rain = V = D*W*L = 0.66*600*800 =<span style="text-decoration: underline;"> 316,800 cc</span></p>
<p>Let H be the height of the water level (in cm) in the barrel.</p>
<p>Volume of water in barrel is Vb = pi*R^2 * H (and R = 30 cm)</p>
<p>Vb = pi*(30)^2* H = <span style="text-decoration: underline;">2,827.4H cc</span></p>
<p>And Vb = 316,800 cc (volume of water drained from roof)</p>
<p>So, 316,800 = 2,827.4H</p>
<p>H = 316,800/2,827.4</p>
<p><span style="text-decoration: underline;"><strong>H = 112 cm</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/243614/rectangular-drains-cylindrical-barrel-diameter-water-barrel?show=243618#a243618Thu, 29 Jun 2017 12:40:35 +0000Answered: two years ago my age was four times that of my son eight years ago my age was ten times that of my son.find the age of my son
https://www.mathhomeworkanswers.org/243609/years-four-times-that-eight-years-was-ten-times-that-find-son?show=243616#a243616
<p><em>two years ago my age was four times that of my son eight years ago my age was ten times that of my son.find the age of my son </em></p>
<p>Let S be the current age of my son.</p>
<p>Let M be the current age of me.</p>
<p>(M - 2) = 4(S - 2) (two years ago my age was four times that of my son)</p>
<p>(M - 8) = 10(S - 8) (eight years ago my age was ten times that of my son)</p>
<p>Simplifying the above two equations gives us,</p>
<p>M - 4S = -6</p>
<p>M - 10S = -72</p>
<p>Subtracting 2nd eqn from 1st,</p>
<p>6S = 66</p>
<p><span style="text-decoration: underline;">S = 11</span></p>
<p>M = 4S - 6 = 44 - 6 = <span style="text-decoration: underline;">38</span></p>
<p><span style="text-decoration: underline;"><strong>Our current ages are: Me 38 yrs, Son 11 yrs</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/243609/years-four-times-that-eight-years-was-ten-times-that-find-son?show=243616#a243616Thu, 29 Jun 2017 12:24:38 +0000Answered: The figure shows the temperature during a day in a place. How fast is the temperature changing from 1:00 P.M. to 7:00 P.M.?
https://www.mathhomeworkanswers.org/243604/figure-shows-temperature-during-place-temperature-changing?show=243608#a243608
<p>At 1.00 pm, the temp is 80 F</p>
<p>At 7.00 pm, the temp is 70 F</p>
<p>The temp has changed by -10 degrees F over a 6-hour period</p>
<p><span style="text-decoration: underline;"><strong>Rate of change of temp during that period is -10/6 = -1.67 degrees F/hour</strong></span></p>Calculus Answershttps://www.mathhomeworkanswers.org/243604/figure-shows-temperature-during-place-temperature-changing?show=243608#a243608Thu, 29 Jun 2017 04:18:07 +0000Evaluate the sum of: 2430; 765; 76; 2398
https://www.mathhomeworkanswers.org/243603/evaluate-the-sum-of-2430-765-76-2398
Evaluate the sum of: 2430; 765; 76; 2398Other Math Topicshttps://www.mathhomeworkanswers.org/243603/evaluate-the-sum-of-2430-765-76-2398Thu, 29 Jun 2017 01:46:13 +0000Answered: Let f(x)=1-(x-3)2, evaluate: (a) f(x+3), (b) f(3-x), and (c) f(2x+1).
https://www.mathhomeworkanswers.org/243572/let-f-x-1-x-3-2-evaluate-a-f-x-3-b-f-3-x-and-c-f-2x-1?show=243575#a243575
<p>a.f(x+3)=1-((x+3)-3)2 since,f(x)=1-(x-3)2</p>
<p>f(x+3)=1-(x-0)2</p>
<p>ans :f(x+3)=1-2x</p>
<p>(b).f(3-x)=1-((3-x)-3)2 since ,f(x)=1-(x-3)2</p>
<p>f(3-x)=1-(0-x)2</p>
<p>ans: f(3-x)=1+2x</p>
<p>(c).f(2x+1)=1-((2x+1)-3)2</p>
<p>f(2x+1)=1-(2x-2)2</p>
<p>f(2x+1)=1-(4x-4)</p>
<p>f(2x+1)=1-4x+4</p>
<p>ans: f(2x+1)=5-4x</p>
<p><span style="background-color:rgb(255, 255, 255); color:rgb(51, 51, 51); font-family:sans-serif,arial,verdana,trebuchet ms; font-size:13px">i like this question .it gives more thinking power</span></p>Calculus Answershttps://www.mathhomeworkanswers.org/243572/let-f-x-1-x-3-2-evaluate-a-f-x-3-b-f-3-x-and-c-f-2x-1?show=243575#a243575Wed, 28 Jun 2017 18:45:07 +0000Answered: Explain how 28-23-10=10
https://www.mathhomeworkanswers.org/243560/explain-how-28-23-10-10?show=243599#a243599
28-2^3-10=28-8-10=10Other Math Topicshttps://www.mathhomeworkanswers.org/243560/explain-how-28-23-10-10?show=243599#a243599Wed, 28 Jun 2017 18:40:33 +0000Answered: Find the equation of the line passing through (1,2) that forms an area of 4 sq. units with the coordinate axes.
https://www.mathhomeworkanswers.org/243565/equation-passing-through-forms-area-units-with-coordinate?show=243598#a243598
<p style="text-align:justify">Let the line equation be y=mx+b where m is the slope and b the y intercept. The x intercept is -b/m.</p>
<p style="text-align:justify">The triangle is formed by joining the intercepts, so that the legs of the right triangle are b and -b/m. The area of the triangle is -b^2/2m (1/2 base times height)=4. So m=-b^2/8.</p>
<p style="text-align:justify">Therefore the equation becomes y=-xb^2/8+b substituting for m.</p>
<p style="text-align:justify">Now we put x=1, y=2 into this equation: 2=-b^2/8+b which becomes b^2-8b+16=(b-4)^2=0 so b=4, m=-16/8=-2 and the equation of the line is y=-2x+4.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=7615609922652498741" style="height:445px; width:350px"></p>Geometry Answershttps://www.mathhomeworkanswers.org/243565/equation-passing-through-forms-area-units-with-coordinate?show=243598#a243598Wed, 28 Jun 2017 18:35:28 +0000Answered: Solve (64+8) divided by 12 using properties of maths
https://www.mathhomeworkanswers.org/243570/solve-64-8-divided-by-12-using-properties-of-maths?show=243597#a243597
<p>Evaluate brackets first: 64+8=72, then divide by 12: 72/12=6.</p>
<p style="text-align: justify;">This expression uses BODMAS or PEMDAS where P (parentheses) or B (brackets) take priority over division. The sum inside the brackets must be carried out first.</p>
<p> </p>Other Math Topicshttps://www.mathhomeworkanswers.org/243570/solve-64-8-divided-by-12-using-properties-of-maths?show=243597#a243597Wed, 28 Jun 2017 18:21:56 +0000Answered: What is the slope of the line through (3,9) and (x,y) for y=x^2 and x=2.97? x=3.001? x=3+h? What happens to this last slope when h is very small (close to 0)?
https://www.mathhomeworkanswers.org/243590/slope-line-through-happens-this-last-slope-when-small-close?show=243596#a243596
Slope=(x^2-9)/(x-3) where x=2.97, 3.001 and 3+h.<br />
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(x^2-9)/(x-3)=(x-3)(x+3)/(x-3)=x+3.<br />
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x=2.97: (2.97^2-9)/(2.97-3)=2.97+3=5.97.<br />
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x=3.001: 6.001.<br />
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3+h: 6+h which becomes 6 as h approaches zero.Calculus Answershttps://www.mathhomeworkanswers.org/243590/slope-line-through-happens-this-last-slope-when-small-close?show=243596#a243596Wed, 28 Jun 2017 18:16:39 +0000Answered: Baker produces x loaves of bread. x+4 loaves per day=<100. x-4 loves per day=>80loaves. Find all values of x.
https://www.mathhomeworkanswers.org/243571/baker-produces-loaves-bread-loaves-loves-80loaves-find-values?show=243595#a243595
<p style="text-align: justify;">100 loaves in 5 days is 20 loaves per day, so x+4>20 and x>16.
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80 loaves in 5 days is 16 loaves per day, so x-4<16 and x<20.
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Therefore 16<x<20 that is the number of loaves is between 16 and 20, so x=17, 18 or 19.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/243571/baker-produces-loaves-bread-loaves-loves-80loaves-find-values?show=243595#a243595Wed, 28 Jun 2017 17:45:26 +0000Answered: Given the function f(x)=3x-4, evaluate: (a) f(x-2), (b) f(x)-f(2), (c) f(1)/f(3), and (d) f(1/3). Use fraction as final answer, if any.
https://www.mathhomeworkanswers.org/243573/given-the-function-evaluate-and-use-fraction-final-answer-any?show=243589#a243589
(a) 3(x-2)-4=3x-10<br />
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(b) 3x-4-(3*2-4)=3x-6<br />
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(c) (-1)/(5)=-1/5<br />
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(d) 3/3-4=-3Calculus Answershttps://www.mathhomeworkanswers.org/243573/given-the-function-evaluate-and-use-fraction-final-answer-any?show=243589#a243589Wed, 28 Jun 2017 13:50:38 +0000Answered: By selling an article Sonu makes a profit of 20%.If the CP decreases by 10% and SP alsi increases by 10%,calculate her profit percentage.
https://www.mathhomeworkanswers.org/243579/selling-article-decreases-increases-calculate-percentage?show=243588#a243588
<p style="text-align: justify;">(S-C)/C=20%=1/5 where S=selling price and C=cost price.
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<br>
S/C-1=1/5 so S=6C/5=1.2C. Let c=C-C/10=0.9C and s=S+S/10=1.1S, then profit%=(s-c)/c*100.
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100(1.1S-0.9C)/0.9C=100(1.1*1.2-0.9)/0.9=46.67%.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/243579/selling-article-decreases-increases-calculate-percentage?show=243588#a243588Wed, 28 Jun 2017 13:41:35 +0000Answered: Find the equation of the line passing through(-2,4) that forms an area of 9 sq. units with the coordinate axes.
https://www.mathhomeworkanswers.org/243564/equation-passing-through-forms-area-units-with-coordinate?show=243587#a243587
<p style="text-align:justify">The line y=mx+b forms a triangle with the axes. The intercepts are y intercept=b and x intercept=-b/m.</p>
<p style="text-align: justify;">The area of the triangle is (1/2)(b)(-b/m)=9. Therefore m=-b^2/18.</p>
<p style="text-align: justify;">So we have y=-b^2x/18+b. Plug in x=-2 and y=4: 4=2b^2/18+b.</p>
<p style="text-align: justify;">36=b^2+9b or b^2+9b-36=0=(b+12)(b-3) and b=3 or -12, and m=-9/18=-1/2 or -144/18=-8.</p>
<p style="text-align: justify;">It appears we have two lines: y=-x/2+3 (red) or y=-8x-12 (blue).</p>
<p><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=8353059774195694207" style="height:658px; width:400px"></p>
<p style="text-align:justify">They intersect at (-2,4) in quadrant 2. The areas of the triangles in quadrants 1 and 3 = 9 square units.</p>Geometry Answershttps://www.mathhomeworkanswers.org/243564/equation-passing-through-forms-area-units-with-coordinate?show=243587#a243587Wed, 28 Jun 2017 12:46:28 +0000Answered: How much is yoir weekly allowance?
https://www.mathhomeworkanswers.org/243558/how-much-is-yoir-weekly-allowance?show=243559#a243559
<p style="text-align: justify;">Assume a 5-day school week, so 5*1.25=6.25, which is half the allowance, so the allowance is 2*6.25=12.50.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/243558/how-much-is-yoir-weekly-allowance?show=243559#a243559Tue, 27 Jun 2017 22:48:25 +0000Answered: How does 3- 42 + 2 = -11 ?
https://www.mathhomeworkanswers.org/243552/how-does-3-42-2-11?show=243557#a243557
3-4^2+2=-11 because 3-16+2=-11Other Math Topicshttps://www.mathhomeworkanswers.org/243552/how-does-3-42-2-11?show=243557#a243557Tue, 27 Jun 2017 22:39:37 +0000Answered: prove that cos(A+B)+sin(A-B)=2sin(45+A)cos(45+B)
https://www.mathhomeworkanswers.org/243538/prove-that-cos-a-b-sin-a-b-2sin-45-a-cos-45-b?show=243556#a243556
<p style="text-align:justify">sin(45+A)=sin45cosA+cos45sinA=(cosA+sinA)/√2; similarly cos(45+B)=(cosB-sinB)/√2.</p>
<p style="text-align:justify">Let A = 2sin(45+A)cos(45+B) = (cosA+sinA)(cosB-sinB) = cosAcosB-cosAsinB+sinAcosB-sinAsinB.</p>
<p style="text-align:justify">cos(A+B)=cosAcosB-sinAsinB; sin(A-B)=sinAcosB-cosAsinB.</p>
<p style="text-align:justify">So A=(cosAcosB-sinAsinB)+(sinAcosB-cosAsinB)=cos(A+B)+sin(A-B) QED.</p>Trigonometry Answershttps://www.mathhomeworkanswers.org/243538/prove-that-cos-a-b-sin-a-b-2sin-45-a-cos-45-b?show=243556#a243556Tue, 27 Jun 2017 22:26:42 +0000Answered: Divide 500 in a ratio of 3:7
https://www.mathhomeworkanswers.org/241635/divide-500-in-a-ratio-of-3-7?show=243548#a243548
<p><span style="font-size:14px"><strong><span style="color:#800080"><span style="font-family:tahoma,geneva,sans-serif">3:7 = 3+7=10</span></span></strong></span></p>
<p><span style="font-size:14px"><strong><span style="color:#800080"><span style="font-family:tahoma,geneva,sans-serif">500/10= 50</span></span></strong></span></p>
<p><span style="font-size:14px"><strong><span style="color:#800080"><span style="font-family:tahoma,geneva,sans-serif">50x3=150</span></span></strong></span></p>
<p><span style="font-size:14px"><strong><span style="color:#800080"><span style="font-family:tahoma,geneva,sans-serif">50x7=350 </span></span></strong></span></p>
<p><img alt="smiley" src="https://www.mathhomeworkanswers.org/qa-plugin/ckeditor4/plugins/smiley/images/regular_smile.gif" style="height:20px; width:20px" title="smiley"></p>
<p> </p>Calculus Answershttps://www.mathhomeworkanswers.org/241635/divide-500-in-a-ratio-of-3-7?show=243548#a243548Tue, 27 Jun 2017 18:14:12 +0000Answered: 2n+4=36(mod 3)
https://www.mathhomeworkanswers.org/243543/2n-4-36-mod-3?show=243546#a243546
<p style="text-align:justify">36mod3=0 so we need n so that the congruency is true, i.e., 2n+3+1=3m or 2n+1=3m' where m' is an integer, making 2n=3m'-1. For congruency, 3m'-1 must be an even number so m' must be odd. Let m'=1, then n=1; if m'=3 then n=4; if m'=5 then n=7; so in general n=1+3k where k is an integer.</p>
<p style="text-align:justify">2n+4=2(1+3k)+4=6k+6=6(k+1). This must be congruent to 36mod3. Since 6 is a multiple of 3 the congruency is preserved and n=1+3k. A sequence for n would be 1, 4, 7, 10, ... in other words, nmod3=1.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/243543/2n-4-36-mod-3?show=243546#a243546Tue, 27 Jun 2017 16:47:21 +0000Answered: Write the contrapositive of the statement: If x>3, then x^2>9. Use words or phrase for your answer.
https://www.mathhomeworkanswers.org/243539/write-contrapositive-statement-then-words-phrase-your-answer?show=243544#a243544
<p style="text-align: justify;">If the square of a number is less than or equal to 9, then the number is less than or equal to 3.</p>Calculus Answershttps://www.mathhomeworkanswers.org/243539/write-contrapositive-statement-then-words-phrase-your-answer?show=243544#a243544Tue, 27 Jun 2017 16:04:48 +0000find x if Bc=47, AD=183, CD=3x+137, and AB=118+4x
https://www.mathhomeworkanswers.org/243519/find-x-if-bc-47-ad-183-cd-3x-137-and-ab-118-4x
Find x if bc=47 ad=183 cd=3x+137 and ab=118+4xGeometry Answershttps://www.mathhomeworkanswers.org/243519/find-x-if-bc-47-ad-183-cd-3x-137-and-ab-118-4xTue, 27 Jun 2017 11:56:46 +0000Answered: How do I solve -2x -y = 0 for x & y intercept? (0,0)
https://www.mathhomeworkanswers.org/243513/how-do-i-solve-2x-y-0-for-x-%26-y-intercept-0-0?show=243531#a243531
<p><em><a rel="nofollow" href="https://www.mathhomeworkanswers.org/243513/how-do-i-solve-2x-y-0-for-x-%26-y-intercept-0-0">How do I solve -2x -y = 0 for x & y intercept? (0,0) </a></em></p>
<p>The y-intercept is the value of y when x = 0.</p>
<p>If -2x - y = 0, and we let x = 0, then 0 - y = 0, meaning <span style="text-decoration: underline;">y = 0 at x = 0</span></p>
<p>Also, the x-intercept is the value of x when y = 0.</p>
<p>And from the line just before, <span style="text-decoration: underline;">x = 0 at y = 0.</span></p>
<p><span style="text-decoration: underline;"><strong>So, both the x-intercept and y-intercept are zero.</strong></span></p>
<p><span style="text-decoration: underline;">The line -2x - y = 0 is a straight passing through the origin</span></p>Pre-Algebra Answershttps://www.mathhomeworkanswers.org/243513/how-do-i-solve-2x-y-0-for-x-%26-y-intercept-0-0?show=243531#a243531Tue, 27 Jun 2017 07:40:18 +0000Answered: If x:y=2:3 and y:3=4:7 ,then what will be the value of x:y:3
https://www.mathhomeworkanswers.org/243509/if-x-y-2-3-and-y-3-4-7-then-what-will-be-the-value-of-x-y-3?show=243527#a243527
<p><em>If x:y=2:3 and y:3=4:7 ,then what will be the value of x:y:3 </em></p>
<p>if y:3 = 4:7, then</p>
<p>y/3 = 4/7</p>
<p><span style="text-decoration: underline;">y = 12/7</span></p>
<p>Using y = 12/7,</p>
<p>x:y = 2:3 becomes</p>
<p>x/y = 2/3</p>
<p>x/(12/7) = 2/3</p>
<p>x = (12/7)*(2/3) = <span style="text-decoration: underline;">24/21</span></p>
<p>Therefore,</p>
<p>x:y:3 = (24/21):(12/7):3</p>
<p>x:y:3 = (24):(36):63</p>
<p><span style="text-decoration: underline;"><strong>x:y:3 = 24:36:63</strong></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/243509/if-x-y-2-3-and-y-3-4-7-then-what-will-be-the-value-of-x-y-3?show=243527#a243527Tue, 27 Jun 2017 07:32:36 +0000Answered: How to find y-intercept with 5x=1?
https://www.mathhomeworkanswers.org/243508/how-to-find-y-intercept-with-5x-1?show=243526#a243526
<p><span style="text-decoration: underline;">How to find y-intercept with 5x=1? </span></p>
<p>Well, you can't use the above to find a y-intercept.</p>
<p>The above is the equation of a straight line, 5x = 1, or <span style="text-decoration: underline;">x = 1/5</span>.</p>
<p>In other wirds, the line x = 1/5 is a vertical line, cutting the x-axis at the point (x=1/5, y=0).</p>
<p>Since this is a vertical line, at x = 1/5, then it never cuts the y axis, <span style="text-decoration: underline;"><strong>There is no y-intercept.</strong></span></p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/243508/how-to-find-y-intercept-with-5x-1?show=243526#a243526Tue, 27 Jun 2017 07:22:18 +0000Answered: how do I write a math problem for my chart, that only gives the years and the amount of babies born for each year from 2006-2015 when each year is larger or smaller but never equal?
https://www.mathhomeworkanswers.org/243456/problem-chart-years-amount-babies-larger-smaller-never-equal?show=243499#a243499
<p style="text-align:justify">First, plot the data:</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=6251963080657715173" style="height:284px; width:500px"></p>
<p style="text-align:justify">Then we manually fit a straight line through the points (black dots) --- line of best fit --- so that there are about as many points above the line as below it. This is shown as a red dotted line. Using that line we can add three points corresponding to the next three years so that they lie on the line. This gives us predicted data (red dots) for 2016, 2017, 2018. From this we can make a rough prediction by reading off the values from the vertical axis: 2016-500, 2017-523, 2018-545. Only when the figures become available can we see how accurate the prediction is. There are other ways of approaching this problem, for example, by calculating the equation of the line that gives us the minimum sum of perpendicular distances between the given points and the line. This is a tedious process and may only give us predictions that are close to those obtained using the manual method. Another approach is to fit a curve to the points, which is more difficult, and again there is no guarantee of better accuracy in the predictions.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/243456/problem-chart-years-amount-babies-larger-smaller-never-equal?show=243499#a243499Mon, 26 Jun 2017 20:01:38 +0000Answered: Given g(t)= t+5/t-1, evaluate g(2s-5), Thank You! Help Please! :D
https://www.mathhomeworkanswers.org/243485/given-g-t-t-5-t-1-evaluate-g-2s-5-thank-you-help-please-d?show=243494#a243494
<p style="text-align: justify;">Put 2s-5 wherever you see t: g(2s-5)=(2s-5+5)/(2s-5-1)=2s/(2s-6)=s/(s-3).</p>Geometry Answershttps://www.mathhomeworkanswers.org/243485/given-g-t-t-5-t-1-evaluate-g-2s-5-thank-you-help-please-d?show=243494#a243494Mon, 26 Jun 2017 18:28:06 +0000Answered: Solve 5a + 6 = 2a + 20
https://www.mathhomeworkanswers.org/243488/solve-5a-6-2a-20?show=243493#a243493
Subtract 2a from both sides: 3a+6=20<br />
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Subtract 6 from both sides: 3a=14<br />
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Divide through bt 3: a=14/3 or 4 2/3Other Math Topicshttps://www.mathhomeworkanswers.org/243488/solve-5a-6-2a-20?show=243493#a243493Mon, 26 Jun 2017 18:25:23 +0000Answered: 40316 P 12650 8471, find the P
https://www.mathhomeworkanswers.org/243462/40316-p-12650-8471-find-the-p?show=243481#a243481
<p style="text-align: justify;">The missing number P=23265.
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<br>
Let each term be represented by f(x) where f denotes a quadratic function and x is the order of the terms: 0, 1, 2, 3, where P=f(1).
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<br>
f(0)=ax^2+bx+c=40316 when x=0, so c=40316.
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<br>
f(2)=12650=4a+2b+40316, so 4a+2b=-27666, or 2a+b=-13833 and b=-(2a+13833).
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<br>
f(3)=8471=9a+3b+40316, so 9a+3b=-31845, or 3a+b=-10615
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<br>
Substituting for b: 3a-2a-13833=-10615, so a=3218, b=-20269.
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<br>
P=f(1)=23265.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/243462/40316-p-12650-8471-find-the-p?show=243481#a243481Mon, 26 Jun 2017 13:09:18 +0000Answered: explain why 19 -x is not a correct translation of "19 less thana number."
https://www.mathhomeworkanswers.org/243455/explain-why-not-correct-translation-of-19-less-thana-number?show=243479#a243479
<p style="text-align: justify;">The operands are the wrong way round: it should be x-19, which means 19 less than a number x. 19-x means a number less than 19.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/243455/explain-why-not-correct-translation-of-19-less-thana-number?show=243479#a243479Mon, 26 Jun 2017 12:04:57 +0000Answered: Find the slope of the line through (0,0) and (x-1, x^2-1).
https://www.mathhomeworkanswers.org/243475/find-the-slope-of-the-line-through-0-0-and-x-1-x-2-1?show=243478#a243478
<p style="text-align: justify;">Slope=∆y/∆x=(x^2-1)/(x-1)=x+1. At (0,0) the slope would be 1.</p>Geometry Answershttps://www.mathhomeworkanswers.org/243475/find-the-slope-of-the-line-through-0-0-and-x-1-x-2-1?show=243478#a243478Mon, 26 Jun 2017 12:01:52 +0000Answered: If sp of 8 articles is equal to cp of 10 articles then what is gain
https://www.mathhomeworkanswers.org/243458/if-sp-of-articles-is-equal-to-cp-of-10-articles-then-what-is-gain?show=243477#a243477
<p style="text-align: justify;">SP of 1 article=10/8=5/4 CP. Profit % (gain%)=(SP-CP)/CP*100=(5/4-1)/1 * 100=(1/4)*100=25%.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/243458/if-sp-of-articles-is-equal-to-cp-of-10-articles-then-what-is-gain?show=243477#a243477Mon, 26 Jun 2017 11:52:26 +0000Answered: A is twice as good a workman as B andtogether they finish a piece of work in 18 days. In how many days will A alonefinish the work?
https://www.mathhomeworkanswers.org/243373/twice-workman-andtogether-finish-piece-days-will-alonefinish?show=243380#a243380
<p style="text-align:justify">Workman B counts as half of workman A, so the job is completed in 18 days by 1½ workmen. It will take one workman longer to do the work by himself, so workman A would take 18*1½=27 days.</p>
<p style="text-align:justify">If you find this problem difficult imagine this:</p>
<p style="text-align:justify">The two workmen are given the job of reshelving a warehouse that's divided into 3 sections. Between them, they decide that A will cover two sections while B covers the remaining section, because he's slower than A. It will take them 18 days each to do their work. Now workman B goes sick so A has to do all the work. He completes his two sections in 18 days, but he has one more section to go. It will only take him 9 days to complete it because he works twice as fast as B. So the total number of days is 18+9=27 days. (If workman A had gone sick it would have taken B 54 days, because each section would have taken 18 days to complete; and 54=2*27.)</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/243373/twice-workman-andtogether-finish-piece-days-will-alonefinish?show=243380#a243380Fri, 23 Jun 2017 13:22:11 +0000Answered: Given that OD=kOA find the value of k for which OD+OB is parallel to the x axis
https://www.mathhomeworkanswers.org/243337/given-that-od-koa-find-the-value-for-which-parallel-to-the-axis?show=243377#a243377
<p style="text-align: justify;">Let <strong>OA</strong>=a1<strong>i</strong>+a2<strong>j</strong>, then <strong>OD</strong>=ka1<strong>i</strong>+ka2<strong>j</strong>, and let <strong>OB</strong>=b1<strong>i</strong>+b2<strong>j</strong>. (<strong>i</strong> and <strong>j</strong> are the unit vectors in the orthogonal x and y directions respectively. a1, a2, b1, b2 are scalar quantities.)</p>
<p style="text-align: justify;"><strong>OD</strong>+<strong>OB</strong>=(ka1+b1)<strong>i</strong>+(ka2+b2)<strong>j</strong>. If this resultant vector is parallel to the x-axis then the y-component must be zero, so ka2+b2=0, k=-b2/a2. b2=<strong>OB.j</strong> and a2=<strong>OA.j</strong>, so k=-<strong>OB.j</strong>/<strong>OA.j</strong>. We have no more information about the vectors.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/243337/given-that-od-koa-find-the-value-for-which-parallel-to-the-axis?show=243377#a243377Fri, 23 Jun 2017 12:57:46 +0000Answered: how to calculate pass mark if 60% of students pass
https://www.mathhomeworkanswers.org/243366/how-to-calculate-pass-mark-if-60%25-of-students-pass?show=243372#a243372
<p style="text-align:justify">If 60% of 100 students passed, then 60 students passed.</p>
<p style="text-align:justify">Let's say the pass mark was 45%, then it means that 60 students scored 45% or more.</p>
<p style="text-align:justify">If the pass mark was 67%, then 60 students scored 67% or more. </p>
<p style="text-align:justify">The number of students obtaining a pass is not directly related to the pass mark. The probability that a student selected randomly obtained a pass is 60%, but it doesn't determine the pass mark itself.</p>Statistics Answershttps://www.mathhomeworkanswers.org/243366/how-to-calculate-pass-mark-if-60%25-of-students-pass?show=243372#a243372Fri, 23 Jun 2017 09:53:16 +0000Answered: Find A one-one mapping from A to B
https://www.mathhomeworkanswers.org/243339/find-a-one-one-mapping-from-a-to-b?show=243357#a243357
<p>1</p>
<p style="text-align:justify">(i) b=a+3 maps {2,3,4} in A (all of A) to {5,6,7} in B. It doesn't matter that 2 in B is not mapped.</p>
<p style="text-align:justify">(ii) b=a+2 maps 3 and 4 in A to 5 and 6 in B, but 2 does not map to B,</p>
<p style="text-align:justify">(iii) a=b-3 maps 5, 6 and 7 in B to 2, 3 and 4 in A but fails to map 2.</p>
<p style="text-align:justify">2 This function implies that x=f(x,y), which implies x=f(f(x,y),y), which implies x=f(f(f(x,y),y),y) and so on. The "function" is mapping back into itself iteratively, recursively and indefinitely. It cannot be a function.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/243339/find-a-one-one-mapping-from-a-to-b?show=243357#a243357Fri, 23 Jun 2017 00:29:08 +0000Answered: Prove that Principle for equality of fraction?
https://www.mathhomeworkanswers.org/243331/prove-that-principle-for-equality-of-fraction?show=243355#a243355
Multiply both sides by b: ab/b=bc/d, so a=bc/d; multiply both sides by d: ad=bcd/d=bc QED.Algebra 1 Answershttps://www.mathhomeworkanswers.org/243331/prove-that-principle-for-equality-of-fraction?show=243355#a243355Thu, 22 Jun 2017 23:28:16 +0000Answered: A 75-lb child is sitting on a teeter board at (-2.5, 3.5) and the fulcrum is at (4.5, -1.5), where units are in feet.
https://www.mathhomeworkanswers.org/243324/child-sitting-teeter-board-and-fulcrum-where-units-are-feet?show=243353#a243353
<p style="text-align:justify">The formulae for answering this question and similar questions are:
<br>
<br>
(x-x1)/(x2-x1)=(y-y1)/(y2-y1)=M2/(M1+M2)=a/R, and a^2=(x-x1)^2+(y-y1)^2 and R^2=(x2-x1)^2+(y2-y1)^2.
<br>
<br>
Where mass M1 is at point (x1,y1), mass M2 is at point (x2,y2), the fulcrum is at (x,y); a is M1's distance from the fulcrum; R is the distance between M1 and M2.</p>
<p style="text-align:justify">In this question M1=75lb, M2=37.5lb, x1=-2.5', y1=3.5', x=4.5', y=-1.5'.</p>
<p style="text-align:justify">(4.5+2.5)/(x2+2.5)=37.5/(75+37.5)=(-1.5-3.5)/(y2-3.5).</p>
<p style="text-align:justify">7*112.5=37.5x2+2.5*37.5, 787.5-93.75=37.5x2, x2=18.5'.</p>
<p style="text-align:justify">37.5y2-3.5*37.5=112.5(-5), 37.5y2=-431.25, y2=-11.5'. So the location of the second child is (18.5',-11.5').</p>
<p style="text-align:justify">The distance of the second child from the fulcrum is R-a=√(21^2+15^2)-√(7^2+5^2)=17.20' approx. Note that a/R=1/3, so R=3a and M1=2M2, so the results are as expected: the second child has to sit twice as far away from the fulcrum as the first child, because the first child is twice as heavy.</p>Geometry Answershttps://www.mathhomeworkanswers.org/243324/child-sitting-teeter-board-and-fulcrum-where-units-are-feet?show=243353#a243353Thu, 22 Jun 2017 22:16:10 +0000Answered: 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: A 65.75 lb child is sitting on a teeter board at(-1,-4) and the fulcrum is at (6.5, 3.5) where units are in feet.
https://www.mathhomeworkanswers.org/243329/child-sitting-teeter-board-and-the-fulcrum-where-units-feet?show=243347#a243347
<p style="text-align:justify">Use the formulae (x-x1)/(x2-x1)=M2/(M1+M2), (y-y1)/(y2-y1)=M2/(M1+M2) (see the question about the two children weighing 22 and 47.5 kilos, showing a representative diagram and derivation of the formulae). We have x=6.5, y=3.5, M1=65.75lb, M2=39.4lb, x1=-1, y1=-4. M1+M2=105.15lb.</p>
<p style="text-align:justify">(6.5+1)/(x2+1)=39.4/105.15=(3.5+4)/(y2+4).</p>
<p style="text-align:justify">Cross-multiplying:</p>
<p style="text-align:justify">105.15*7.5=39.4x2+39.4 and 105.15*7.5=39.4y2+39.4*4.</p>
<p style="text-align:justify">x2=19.016' and y2=16.016' approximately. So the coordinates are (19.016,16.016) feet.</p>Geometry Answershttps://www.mathhomeworkanswers.org/243329/child-sitting-teeter-board-and-the-fulcrum-where-units-feet?show=243347#a243347Thu, 22 Jun 2017 17:01:25 +0000Answered: Differentiate the following functions w.r.t x.
https://www.mathhomeworkanswers.org/243336/differentiate-the-following-functions-w-r-t-x?show=243346#a243346
<ol>
<li style="text-align: justify;">Use d(uv)/dx=udv/dx+vdu/dx: (2x+3)(3x^2-1)+2(x^3-x+2)=6x^3-2x+9x^2-3+2x^3-2x+4=8x^3+9x^2-4x+1</li>
<li style="text-align: justify;">Use chain rule: 2sin(3x-2)cos(3x-2)*3=6sin(3x-2)cos(3x-2)=3sin(6x-4), because sin2A=2sinAcosA.</li>
</ol>Calculus Answershttps://www.mathhomeworkanswers.org/243336/differentiate-the-following-functions-w-r-t-x?show=243346#a243346Thu, 22 Jun 2017 16:41:34 +0000Answered: show that (1-x^2)dy/dx+y=0
https://www.mathhomeworkanswers.org/243338/show-that-1-x-2-dy-dx-y-0?show=243344#a243344
<p style="text-align:justify">y^2=(1-x)/(1+x); differentiating:</p>
<p style="text-align:justify">2yy'=(-(1+x)-(1-x))/(1+x)^2=(-1-x-1+x)/(1+x)^2=-2/(1+x)^2.</p>
<p style="text-align:justify">yy'+1/(1+x)^2=0; yy'(1+x)^2+1=0. </p>
<p style="text-align:justify">But y=√(1-x^2)/(1+x) when we multiply ((1-x)/(1+x))^(1/2) by ((1+x)/(1+x))^(1/2).</p>
<p style="text-align:justify">So we have yy'(1+x)^2+1=y'(1+x)√(1-x^2)+1=0. But 1+x=√(1-x^2)/y, so y'(1-x^2)/y+1=0 and (1-x^2)dy/dx+y=0 QED.</p>
<p style="text-align:justify"> </p>Calculus Answershttps://www.mathhomeworkanswers.org/243338/show-that-1-x-2-dy-dx-y-0?show=243344#a243344Thu, 22 Jun 2017 16:31:27 +0000Answered: For what values of m does the equation has reciprocal roots.
https://www.mathhomeworkanswers.org/243334/for-what-values-of-m-does-the-equation-has-reciprocal-roots?show=243343#a243343
<p><em>For what values of m will the equation x²-2mx+7m-12=0 has reciprocal roots?</em></p>
<p>Let there be reciprocal roots x1 = a and x2 = 1/a, where these two roots are reciprocal to each other.</p>
<p>Taking these roots as the solutions to a quadratic equation alows us to recreate the quadratic as,</p>
<p>(x - a)(x - 1/a) = 0</p>
<p>Multiplying out gives us,</p>
<p>x^2 - (a + 1/a)x + 1 = 0</p>
<p>Comparing this quadratic with the original x²-2mx+7m-12 = 0, and comparing the coefficient of x and the constant term,</p>
<p>-(a + 1/a) = -2m</p>
<p>1 = 7m - 12 ---> m<span style="text-decoration: underline;"> = 13/7</span></p>
<p><span style="text-decoration: underline;"><strong>The equation has reciprocal roots for m = 13/7</strong></span></p>
<p>Then,</p>
<p>(a + 1/a) = 26/7</p>
<p>7a^2 + 7 = 26a</p>
<p> 7a^2 - 26a + 7 = 0</p>
<p>Solution here gives the reciprocal roots as <span style="text-decoration: underline;">a1 = 13/7 + (2/7)sqrt(30)</span> and <span style="text-decoration: underline;">a2 = 13/7 - (2/7)sqrt(30)</span></p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/243334/for-what-values-of-m-does-the-equation-has-reciprocal-roots?show=243343#a243343Thu, 22 Jun 2017 16:27:38 +0000Answered: A 22 kilos child is sitting at A(-7, -3) and a 47.5 kilos child is at B(1,4), where units are in feet
https://www.mathhomeworkanswers.org/243326/kilos-child-sitting-and-kilos-child-is-where-units-are-in-feet?show=243335#a243335
<p style="text-align:justify">For a general solution to this problem let A be the point (x1,y1) and B be (x2,y2). Let AB=R and let a on AB be the distance between A and the fulcrum F(x,y).</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=18117121478703915139" style="height:313px; width:450px"></p>
<p style="text-align:justify">The masses are M1 at A and M2 at B. The moments about the fulcrum must be equal for equilibrium, so M1a=M2(R-a) and M1a+M2a=M2R, making a/R=M2/(M1+M2). By similar triangles (y-y1)/(y2-y1)=(x-x1)/(x2-x1)=a/R=M2/(M1+M2). Also, R=√(y2-y1)^2+(x2-x1)^2) and a=√(y-y1)^2+(x-x1)^2).</p>
<p style="text-align:justify">Therefore (x-x1)(M1+M2)=(x2-x1)M2; x(M1+M2)-x1M1-x1M2=x2M2-x1M2.</p>
<p style="text-align:justify">So x=(x1M1+x2M2)/(M1+M2) and y=(y1M1+y2M2)/(M1+M2).</p>
<p style="text-align:justify">Therefore the coordinates of F are ((x1M1+x2M2)/(M1+M2),(y1M1+y2M2)/(M1+M2)).</p>
<p style="text-align:justify">These formulae can be used in all problems of this nature.</p>
<p style="text-align:justify">We have M1=22kg and M2=47.5kg, so M1+M2=69.5kg.</p>
<p style="text-align:justify">x1=-7, y1=-3, x2=1, y2=4, so F is ((-7*22+47.5)/69.5,(-3*22+4*47.5)/69.5)=(-213/139,248/139)=(-1.53',1.78').</p>
<p style="text-align:justify">Note that the formula can be used to find any of the values M1, M2, x1, x2, x, y1, y2, y given the coordinates of A and B or F or M1 or M2.</p>Geometry Answershttps://www.mathhomeworkanswers.org/243326/kilos-child-sitting-and-kilos-child-is-where-units-are-in-feet?show=243335#a243335Thu, 22 Jun 2017 13:51:04 +0000A 35 kilos child is sitting on a teeter board at (4.-5, 3.7) and the fulcrum is at (-4.2, 5.6), where units are in feet.
https://www.mathhomeworkanswers.org/243330/kilos-child-sitting-teeter-board-fulcrum-where-units-are-feet
A 35 kilos child is sitting on a teeter board at (4.-5, 3.7) and the fulcrum is at (-4.2, 5.6), where units are in feet. At what point should a 26.5 kilos child sit to be in equilibrium? What is the distance of the second child from the fulcrum?Geometry Answershttps://www.mathhomeworkanswers.org/243330/kilos-child-sitting-teeter-board-fulcrum-where-units-are-feetThu, 22 Jun 2017 11:49:13 +0000A 48.2 lb child is sitting on a teeter board at (-1.5,-4) and the fulcrum is at (6.7,-5) where units are in feet.
https://www.mathhomeworkanswers.org/243327/child-sitting-teeter-board-and-fulcrum-where-units-are-feet
A 48.2 lb child is sitting on a teeter board at (-1.5,-4) and the fulcrum is at (6.7,-5) where units are in feet. At what point should a 32lb child sit to be in equilibrium?Geometry Answershttps://www.mathhomeworkanswers.org/243327/child-sitting-teeter-board-and-fulcrum-where-units-are-feetThu, 22 Jun 2017 11:38:22 +0000A 52-lb child is sitting on a teeter board at (-7.5, 1.7) and the fulcrum is at (-1.7, 4.1), where units are In feet.
https://www.mathhomeworkanswers.org/243325/child-sitting-teeter-board-and-fulcrum-where-units-are-feet
A 52-lb child is sitting on a teeter board at (-7.5, 1.7) and the fulcrum is at (-1.7, 4.1), where units are in feet. At what point should a 40 lb child sit to be in equilibrium? What is the distance of the second child from the fulcrum?Geometry Answershttps://www.mathhomeworkanswers.org/243325/child-sitting-teeter-board-and-fulcrum-where-units-are-feetThu, 22 Jun 2017 11:29:33 +0000Answered: Using determinant show that the points (1,0) (0,2) and (1,0) lie on a straight line.
https://www.mathhomeworkanswers.org/243308/using-determinant-show-that-the-points-and-lie-straight-line?show=243320#a243320
<p style="text-align:justify">The line joining (1,0) and (0,2) has a slope (2-0)/(0-1)=-2. The line joining (0,2) and (1,0) has a slope (0-2)/(1-0)=-2. So these points are colinear because (0,2) is a common point and the lines have the same slope.</p>
<p style="text-align:justify">The determinant is:</p>
<p style="text-align:justify">| 1 0 1 |</p>
<p style="text-align:justify">| 0 2 1 | = 1(2-0)-0+1(0-2)=2-2=0 which confirms collinearity.</p>
<p style="text-align:justify">| 1 0 1 |</p>
<p style="text-align:justify"> </p>
<p style="text-align:justify"> </p>Geometry Answershttps://www.mathhomeworkanswers.org/243308/using-determinant-show-that-the-points-and-lie-straight-line?show=243320#a243320Thu, 22 Jun 2017 10:08:52 +0000Answered: if x=2-√3 find x^4 - 3x^3+ 7x^2 +6x - 10
https://www.mathhomeworkanswers.org/243305/if-x-2-%E2%88%9A3-find-x-4-3x-3-7x-2-6x-10?show=243319#a243319
If x=2-√3, x^2=4+3-4√3=7-√3 and x^4=49+3-14√3=52-14√3=2(26-7√3).<br />
<br />
x^3=x * x^2=(2-√3)(7-√3)=14-9√3+3=17-9√3.<br />
<br />
The expression is: 52-14√3-3(17-9√3)+7(7-√3)+6(2-√3)-10=<br />
<br />
52-51+49+12-10+√3(-14+27-7-6)=52.Algebra 1 Answershttps://www.mathhomeworkanswers.org/243305/if-x-2-%E2%88%9A3-find-x-4-3x-3-7x-2-6x-10?show=243319#a243319Thu, 22 Jun 2017 09:50:49 +0000Answered: A circle in quadrant II is tangent to both axes. It touches the y-axis at (0,3). a.At what point does it meet the x-axis? b. Find the coordinates of the center of the circle.
https://www.mathhomeworkanswers.org/243304/circle-quadrant-tangent-touches-coordinates-center-circle?show=243317#a243317
<p style="text-align: justify;">If an axis is at a tangent, it is right angles to the radius, so the y axis (x=0) is a distance of 3 units to the right of the centre, making the centre 3 units to the left at x=-3. Because the axis is also a tangent it must be above the x-axis by 3 units (y=3), so the centre is at (-3,3).</p>Geometry Answershttps://www.mathhomeworkanswers.org/243304/circle-quadrant-tangent-touches-coordinates-center-circle?show=243317#a243317Thu, 22 Jun 2017 09:40:50 +0000Answered: A rectangle with sides parallel to the axes has vertices at (3,-2) and (-1,-7). a. Find the coordinates of the other two vertices. b. Find the area of the rectangle
https://www.mathhomeworkanswers.org/243303/rectangle-parallel-vertices-coordinates-vertices-rectangle?show=243316#a243316
<p style="text-align:justify">(a) The other two vertices are at (-1,-2) and (3,-7) so combining the given coordinates.
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(b) The area is (3-(-1)) * (-2-(-7))=4*5=20 sq units.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=13886319500752037138" style="height:551px; width:375px"></p>Geometry Answershttps://www.mathhomeworkanswers.org/243303/rectangle-parallel-vertices-coordinates-vertices-rectangle?show=243316#a243316Thu, 22 Jun 2017 09:34:49 +0000Answered: A person 6 ft tall is standing near a street light so that the ration of his height to the pole is 2/3.
https://www.mathhomeworkanswers.org/243307/person-tall-standing-near-street-light-that-ration-height-pole?show=243315#a243315
<p><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=1551357372730325276" style="height:265px; width:375px"></p>
<p style="text-align:justify">The picture shows the details. (a) DE=(2/3)AC, so AC=(3/2)DE=3*6/2=9'.</p>
<p style="text-align:justify">(b) DE=FC=6'; AF=AC-FC=9-6=3'; DF^2=AB^2-AF^2 (Pythagoras)=25-9=16, so DF=4'.</p>
<p style="text-align:justify">(c) BE/(BE+4)=2/3 (similar triangles BDE and BAC); 3BE=2BE+8; BE=8' (shadow length).</p>
<p style="text-align:justify">(d) all points shown on the picture with coordinates.</p>Geometry Answershttps://www.mathhomeworkanswers.org/243307/person-tall-standing-near-street-light-that-ration-height-pole?show=243315#a243315Thu, 22 Jun 2017 09:23:25 +0000