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3 years ago

For each situation below, complete the table for the values given and the unit rate.

Mathematics

1 answer:

Ksivusya [100]3 years ago

8 0

Answer:

2 = 5

5 = 12.50

4 = 10

7 = 17.50

6 = 15

9 = 22.50

11 = 27.50

Step-by-step explanation:

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Answer: a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

Step-by-step explanation:

Since we have given that

Area of square pen = 529 sq. yd

Let the length of each side be 'a'.

As we know the formula for "Area":

$Area=a^2\\\\529=a^2\\\\\sqrt{529}=a\\\\a=23\ yd$

So, the perimeter of the square pen is given by

$4\times s=4\times 23\\\\=92\ yd$

So, perimeter of square pen = Perimeter of round pen

$92=2\pi r\\\\92=2\times 3.14\times r\\\\\dfrac{92}{2}=3.14\times r\\\\\dfrac{46}{3.14}=r\\\\14.64=r$

So, the diameter of round pen is $2\times r=2\times 14.64=29.29\ yd$

And the area of round pen is

$\pi r^2\\\\=3.14\times (14.64)^2\\\\=672.99\ sq.\ yd$

Hence, a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

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