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3 years ago

!!! Help What is the measurement of angle A to the nearest degree???

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

Answer:

51 = A

Step-by-step explanation:

Using the law of sines

sin 95 sin A

------------- = -----------

9 7

Using cross products

7 sin 95 = 9 sin A

Divide each side by 9

7/9 sin 95 = sin A

Take the inverse sin of each side

sin ^-1 ( 7/9 sin 95) = A

50.78854367= A

To the nearest degree

51 = A

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A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen

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Answer:

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Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

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Then, the area become:

$A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2$

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