MATH SOLVE

10 months ago

Q:
# Which of the following are in correct order from greatest to least?

Accepted Solution

A:

Given: Four series of angles are given.To Find: Identify the series with the correct order from greatest to least.Solution:the correct order from greatest to least is what is shown in the fourth option, i.e.,[tex]330<\frac{5\pi}{3}<\frac{7\pi}{6}<\frac{2\pi}{3}<\frac{\pi}{2}[/tex]Calculation:Now, we use the fact that [tex]\pi =180[/tex]to calculate the values of[tex]\frac{\pi}{2}, \frac{2\pi}{3}, \frac{7\pi}{6}, \frac{5\pi}{3}[/tex]So, we have[tex]\frac{\pi}{2} = 90\\\\\frac{2\pi} {3}=\frac{(2)(180)}{3} = 120\\\\ \frac{7\pi} {6}=\frac{(7)(180)}{6} = 210\\\\ \frac{5\pi} {3}=\frac{(5)(180)}{3} = 300\\\\[/tex]Looking at the above values, we see that the correct order from greatest to least is what is shown in the fourth option, i.e.,[tex]330<\frac{5\pi}{3}<\frac{7\pi}{6}<\frac{2\pi}{3}<\frac{\pi}{2}[/tex]