29 T What is the equivalent degree measure for an angle that measures 18 ? A 290° B C D 29° 522° 145°

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Multiple Choice

#### Question 7

What is the equivalent degree measure for an angle that measures \(\frac{29\pi}{18}\)?

- **A) 290°**
- **B) 29°**
- **C) 522°**
- **D) 145°**

**Explanation**:

To convert from radians to degrees, use the conversion formula:

\[
\text{degrees} = \text{radians} \times \left(\frac{180}{\pi}\right)
\]

Let's convert \(\frac{29\pi}{18}\) radians to degrees:

\[
\frac{29\pi}{18} \times \left(\frac{180}{\pi}\right) = \frac{29 \times 180}{18} = \frac{5220}{18} = 290°
\]

Thus, the correct answer is:

- **A) 290°**
Transcribed Image Text:### Multiple Choice #### Question 7 What is the equivalent degree measure for an angle that measures \(\frac{29\pi}{18}\)? - **A) 290°** - **B) 29°** - **C) 522°** - **D) 145°** **Explanation**: To convert from radians to degrees, use the conversion formula: \[ \text{degrees} = \text{radians} \times \left(\frac{180}{\pi}\right) \] Let's convert \(\frac{29\pi}{18}\) radians to degrees: \[ \frac{29\pi}{18} \times \left(\frac{180}{\pi}\right) = \frac{29 \times 180}{18} = \frac{5220}{18} = 290° \] Thus, the correct answer is: - **A) 290°**
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