[tex]\text{100}\degree\text{ (option D)}[/tex]
see the steps below
Explanation:
To convert from radians to degrees, we will use the conversion:
1 π rad = 180°
To convert 5π/9 radians, let its value in degrees = y
1 π rad = 180°
5π/9 radian = y
cross multiply:
[tex]\begin{gathered} 1\pi\text{ (y) = }180\text{ (}\frac{5\pi}{9}) \\ \pi y\text{ = }\frac{180\times\text{ 5}\pi}{9} \\ \pi y\text{ = }20\times\text{ 5}\pi \end{gathered}[/tex][tex]\begin{gathered} To\text{ get y, we will divide both sides by }\pi\colon \\ \frac{\pi y\text{ }}{\pi\text{ }}\text{= }\frac{20\times\text{ 5}\pi}{\pi} \\ y\text{ = 20}\times5 \\ y\text{ = 100} \\ \\ 5\pi/9\text{ radians to degr}ees\text{ = 100}\degree\text{ (option D)} \end{gathered}[/tex]
To use TI-84 Plus CE claculator to convert from radians to dgrees:
5π/9 radians to degrees
1st step: Press the MODE key, use the arrow keys to navigate to degrees. Then press ENTER.
2nd step: Return to the home screen. This can be done by pressing the MODE a second time
3rd step: Input the radian measure. Since the radian measure is not only numbers, we will use a parenthesis. Like this: (5π/9)
4th step: Then click on the 2nd [APPS} key to input the r function (r stands for radians).
Click the ENTER key to convert from radians to degrees.
