Question

Convert negative Start Fraction 7 pi over 18 End Fraction to degrees.
(1 point)
Responses

negative 462.9 degrees
Image with alt text: negative 462.9 degrees

negative 70 degrees
Image with alt text: negative 70 degrees

negative 35 degrees
Image with alt text: negative 35 degrees

negative 1.2 degrees

Answer 1

To convert \(-\frac{7\pi}{18}\) radians to degrees, we can use the conversion factor \(180^\circ/\pi\).

The conversion is calculated as follows:

\[
-\frac{7\pi}{18} \times \frac{180^\circ}{\pi}
\]

The \(\pi\) in the numerator and denominator cancels out:

\[
-\frac{7 \times 180^\circ}{18}
\]

Now, simplify:

\[
-\frac{1260^\circ}{18} = -70^\circ
\]

Thus, \(-\frac{7\pi}{18}\) radians is equal to \(-70\) degrees.

So, the correct response is:

**negative 70 degrees**