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My name is Ann [436]
3 years ago
14

A square has a side length of 5 yards. What is its area in square​ feet? Use pencil and paper. Show two ways to find the answer.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0
5 × 5 = 25 square yards
25 × 3 = 75 square feet
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MA_775_DIABLO [31]
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Answer:

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Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

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V=\int\limits^b_a {\pi r^{2}} \, dy

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r=3 sec(y)

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b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
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Answer:

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Step-by-step explanation:

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