Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 124: 10

Answer

$9$ minutes

Work Step by Step

Step 1: The formula to be used here is $w=\frac{\theta}{t}$. Step 2: To find $t$, we rearrange the formula to $t=\frac{\theta}{w}$. Step 3: After substituting the values of $\theta$ and $w$ provided by the question into this formula, the equation becomes $t=\frac{\frac{3\pi}{8}}{\frac{\pi}{24}}$ Step 4: $t=\frac{3\pi}{8}\times\frac{24}{\pi}$ Step 5: After simplifying, $t$ is found to be equal to $9$ minutes.
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