Question

I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem is attached.I need help with how to apply the problem on the calculator. If possible show the step by step process.Directions: Make sure your calculator is in degree mode.

Answer 1

`\text{100}\degree\text{ (option D)}`

see the steps below

Step-by-step 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:

`\begin{gathered} 1\pi\text{ (y) = }180\text{ (}(5\pi)/(9)) \\ \pi y\text{ = }\frac{180*\text{ 5}\pi}{9} \\ \pi y\text{ = }20*\text{ 5}\pi \end{gathered}`
`\begin{gathered} To\text{ get y, we will divide both sides by }\pi\colon \\ \frac{\pi y\text{ }}{\pi\text{ }}\text{= }\frac{20*\text{ 5}\pi}{\pi} \\ y\text{ = 20}*5 \\ y\text{ = 100} \\ \\ 5\pi/9\text{ radians to degr}ees\text{ = 100}\degree\text{ (option D)} \end{gathered}`

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.