3 years ago

an angle measures 38 degrees more than the measure of its supplementary angle. what is the measure of each angle?

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

Answer is 71 and 109 degrees
x+(x+38)=180
2x+38=180
2x=142
x=71

x+38
71+38=109

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3 years ago

Find the surface area of a sphere with a volume of 36π in3.

swat32

First use known volume to solve for radius:
$V=\frac{4}{3}\pi r^{3}$
$r=\sqrt[3]{\frac{3V}{4\pi}}$
$r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}$
$r=\sqrt[3]{27}$
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Then use the radius to get the surface area:
$A_{surf}=4 \pi r^{2}$
$A_{surf}=4 \pi 3^{2}$
$A_{surf}=4 \pi 9$
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