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Marysya12 [62]
3 years ago
7

Cindy is 5 feet tall with a shadow of 5 feet. The flagpole has a shadow of 12.5 feet. What is the height of the flagpole?

Mathematics
2 answers:
poizon [28]3 years ago
7 0
I am guessing cindy is standing inside the shadow of the flagpole. So the answer would be 12.5. To answer the question you have to set up proportions. 12.5/5=x/5, so you would cross multiply 12.5 and 5 then 5 and x so 62.5=5x then divide by 5 for 12.5.
Black_prince [1.1K]3 years ago
3 0
I don't want to give you the answer so here is a thorough explanation and an answer if you want it. Set this up as a proportion. Set it up as 5/5=x/12.5. Then multiply 5 by x to get 5x and 12.5 by 5. Once you have this answer, divide it by five to isolate the x. Once you have finished this, you have your answer. 
 
I got the answer 12.5. Make sure you check this so you understand how to solve these kinds of problems.
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The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

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However, to determine the fencing, we have:

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Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

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From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

\mathbf{L = 3x - 2( \dfrac{1000000}{x})}

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Now, if we replace the value with equation (1), then y will be:

\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\  \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}

\mathbf{x =500\sqrt{6}}

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

\mathbf{L = 3( \dfrac{1000  \sqrt{6}}{3}) + 2(500 \sqrt{6})}

\mathbf{L =1000  \sqrt{6} + 1000 \sqrt{6}}

\mathbf{L =2000  \sqrt{6} }

\mathbf{L \simeq 4899 \ ft}

Learn more about the area of a rectangle here:

brainly.com/question/25292087

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