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Lynna [10]
4 years ago
14

Extra points to the person who answer first

Mathematics
1 answer:
vlada-n [284]4 years ago
4 0

In order to know what is the reasonable amount of tile for Mandana to order, you have to divide the choices with the area of the floor and deduct with 1 and multiply by 100. You have to assess if the answer you will get will fall between 15% and 20% which is the goal of Mandana.

<span>a.       </span>131/116.9 = (1.1206 – 1) x 100 = 12.06%, this does not fall between 15% and 20%

<span>b.      </span>138/116.9 = (1.1805 – 1) x 100 = 18.05%, this fall between 15% and 20%

<span>c.       </span>133/116.9 = (1.1377 – 1) x 100 = 13.77%, this does not fall between 15% and 20%

<span>d.      </span>141/116.9 = (1.2062 – 1) x 100 = 20.62%, this does not fall between 15% and 20%

Therefore, the reasonable amount of tile for Madana to order that is between 15% and 20% extra of the materials is 138 square feet.

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Given:

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Required:

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\begin{gathered} Arc\text{ length = }\frac{\theta}{360}\text{ }\times\text{ 2}\pi r \\  \end{gathered}

Substituting the values in the formula,

\begin{gathered} 14\pi\text{ = }\frac{60}{360}\text{ }\times\text{ 2}\times\pi\times r \\ r\text{ = }\frac{14\times360}{60\times2} \\ r\text{ = }\frac{5040}{120} \\ r\text{ = 42} \end{gathered}

Answer:

Thus the radius of the circle is 42 m.

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