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Sever21 [200]
3 years ago
13

Convert the radian measure to degrees. (Round to the nearest hundredth when necessary): −5π8

Mathematics
2 answers:
Anna71 [15]3 years ago
8 0

Answer:

The required answer is -112.5°.

Step-by-step explanation:

Consider the provided radian measure.

\frac{-5\pi}{8}

To convert from radians to degrees multiply the provided radian with \frac{180}{\pi}.

Consider the provided radian measure and multiply it by \frac{180}{\pi}.

\frac{-5\pi}{8}=\frac{-5\pi}{8}\times \frac{180}{\pi}

\frac{-5\pi}{8}=\frac{-5}{8}\times 180

\frac{-5\pi}{8}=\frac{-5}{2}\times45

\frac{-5\pi}{8}=\frac{-225}{2}

or

\frac{-5\pi}{8}=-112.5^0

Hence, the required answer is -112.5°.

xxMikexx [17]3 years ago
5 0

Answer:

\frac{-5}{8}\pi  =-112.5

Step-by-step explanation:

We know that 1π  rad=180°

Hence we can use a proper relation

\pi = 180\\-5\frac{\pi }{8}=x

Solving for x results

x=\frac{-5}{8}*180=\frac{-5}{2}*45=\frac{-225}{2}=112,5

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