7.1: Homework
Score: 40/100 6/10 answered
Question 8
Convert $\frac{16}{6} \pi$ to degrees:
Convert $-139^{\circ}$ to radians:
$\pi$.
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Answer
Final Answer: The conversion of $\frac{16}{6} \pi$ radians to degrees is \(\boxed{480.0^{\circ}}\).
Step 1 ：The first question is asking to convert $\frac{16}{6} \pi$ radians to degrees. The conversion from radians to degrees is done by multiplying the radian measure by $\frac{180}{\pi}$.
Step 2 ：Performing the conversion gives a result of approximately 479.99999999999994 degrees.
Step 3 ：However, this result is a floating point number with many decimal places. We can round this to a more manageable number of decimal places.
Step 4 ：After rounding, we get 480.0 degrees.
Step 5 ：Final Answer: The conversion of $\frac{16}{6} \pi$ radians to degrees is \(\boxed{480.0^{\circ}}\).
