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ioda
2 years ago
7

Choose the correct answer choice please show steps!!

Mathematics
1 answer:
sladkih [1.3K]2 years ago
6 0

Answer:

\large\boxed{B.\ \cos(37^o)=\dfrac{x}{14}}

Step-by-step explanation:

sine=\dfrac{opposite}{hypotenuse}\\\\cosine=\dfrac{adjacent}{hypotenuse}\\\\tangent=\dfrac{opposite}{adjacent}\\\\\text{We have}\ adjacent=x\ \text{and}\ hypotenuse=14.\\\text{Therefore it's a cosine.}

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Answer:

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Step-by-step explanation:

Let's subdivide the figure, as shown.

The lower part is a rectangle whose area is (5 mi)(18 mi) = 90 mi².

The upper part is a trapezoid whose area is found by averaging the length and multiplying the result by the width (8 mi - 5 mi), or 3 mi.

Area of trapezoid:

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  ------------------------  =  15 mi             Width of trapezoid = 3 mi

                2

Thus, the area of the trapezoid is (3 mi)(15 mi) = 45 mi²

and the total area of the entire figure is

45 mi² + 90 mi² = 135 mi²

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