Problem

7.1: Homework Score: 40/100 6/10 answered Question 8 Convert $\frac{16}{6} \pi$ to degrees: Convert $-139^{\circ}$ to radians: $\pi$. Submit Question Jump to Answer

Solution

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 \(\boxed{480.0^{\circ}}\).

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