Question

I really need help solving thisI’m new to thisIt is from my ACT prep guide 21’-22’

Answer 1

114.55°

Step-by-step explanation:
`\text{Given: }(7\pi)/(11)`

To get the equivalent of the angle above in degree, we need to convert from radians to degree:

`1\pi\text{ rad = 180}\degree`
`\begin{gathered} \text{let the value of }(7\pi)/(11)\text{ }degree\text{=}x \\ \\ 1\pi\text{ = 180}\degree \\ (7\pi)/(11)\text{ = }x \\ \text{cross multiply}\colon \\ x(1\pi)\text{ = 180(}(7\pi)/(11)) \\ \pi x\text{ = }(180(7\pi))/(11) \end{gathered}`
`\begin{gathered} \text{divide both sides by }\pi \\ (\pi x)/(\pi)\text{ = }(180(7\pi))/(11)/\text{ }\pi \\ x\text{ = }(180(7\pi))/(11)*\text{ }(1)/(\pi) \\ \pi\text{ cancels out} \\ \\ x\text{ = }(180*7)/(11) \\ x\text{ = }114.55\degree\text{ (nearest hundredth)} \end{gathered}`