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Jobisdone [24]
2 years ago
14

What the answer to the picture below

Mathematics
1 answer:
Serhud [2]2 years ago
3 0

Answer:

<h2>96 ft²</h2>

Step-by-step explanation:

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

b_1,\ b_2 - bases

h - height

We have:

b_1=10ft+4ft=14ft\\\\b_2=10ft\\\\h=8ft

Substitute:

A=\dfrac{14+10}{2}\cdot8=\dfrac{24}{2}\cdot8=(12)(8)=96\ ft^2

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<em>Additional comment</em>

The arctan function usually returns a value in the range -π/2 to π/2. The quadrant of the desired result can be determined by the signs of the components of the vector. For negative real parts, π needs to be added to the value that is usually returned by the arctan function.

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