Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q. 35

Expert-verified

Algebra 2

Found in: Page 713

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Rewrite each degree measure in radians and each radian measure in degrees if the angle is $\frac{5 π}{6}$ .

The degree measure of angle $\frac{5 π}{6}$ is $150 °$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given information.

The given angle in degrees measure is $\frac{5 π}{6}$ .

Step 2. Concept used.

From the degree – radian conversion rule.

$π Radian = 180 {}^{\circ}. . . . (1)$

Step 3. Convert degrees measures to radians.

The angle $\frac{5 π}{6}$ in degrees units is evaluated with the help of concept (1) stated above.

$\begin{array}{l} \frac{5 π}{6} = \frac{5}{6} (π) \\ = \frac{5}{6} \times (180^{°}) \\ = 150^{°} \end{array}$

Step 4. Conclusion.

The degree measure of angle $\frac{5 π}{6}$ is $150 °$ .

Most popular questions for Math Textbooks

Solve triangle ABC using the given measurements if $B = 27 {}^{\circ}, C = 90 {}^{\circ}{and} b = 7$ . Round measure of sides to the nearest tenth and angles to nearest degree.

Rewrite each degree measure in radians and each radian measure in degrees if the angle is $- \frac{π}{3}$ .

Solve triangle ABC using the given measurements if $A = 10 {}^{\circ}, C = 90 {}^{\circ}{and} b = 15$ . Round measure of sides to the nearest tenth and measures of angles to nearest degree.

Solve triangle ABC using the given measurements if $\tan B = \frac{7}{8}, C = 90 {}^{\circ}{and} b = 7$ . Round measure of sides to the nearest tenth and measures of angles to nearest degree.

Find the area of regular hexagon with point $O$ as its center.

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free