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3 years ago

9

A trapezoid has base lengths of 8 yards and 4 yards. If the height of the figure is 3 yards, what is the area? 36 square yards 9

6 square yards 18 square yards 12 square yards

1 answer:

12345 [234]3 years ago

5 0

A = 1/2(8+4)(3)
A = 6 * 3
A = 18

answer
<span>18 square yards</span>

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$\cos(480^\circ)=-\dfrac{1}{2}$

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Step-by-step explanation:

Calculate the value of trigonometry function.

$\cos(480^\circ)$ and $\sin(480^\circ)$

Split the angle between 0 to 90° using trigonometry formula.

$\Rightarrow \cos(360^\circ+120^\circ)$

$\Rightarrow \cos(120^\circ)$ $\because \cos(360+\theta)=\cos\theta$

$\Rightarrow \cos(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow -\cos(60^\circ)$ $\because \cos(180-\theta)=-\cos\theta$

$\Rightarrow -\dfrac{1}{2}$

Therefore, cos(480°) = -0.5

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$\Rightarrow \sin(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow \sin(60^\circ)$ $\because \sin(180-\theta)=\sin\theta$

$\Rightarrow \dfrac{\sqrt{3}}{2}$

Therefore, sin(480°) = 0.866

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