Mathematics, 24.09.2019 02:00 wbrandi118
What is 3pi/4 radians converted to degrees? if necessary, round your answer to the nearest degree.
45
135
240
540°
Answers: 1
![\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ x&\frac{3\pi }{4} \end{array}\implies \cfrac{180}{x}=\cfrac{~~\pi ~~}{\frac{3\pi }{4}}\implies \cfrac{180}{x}=\cfrac{~~\frac{\pi}{1} ~~}{\frac{3\pi }{4}} \\\\\\ \cfrac{180}{x}=\cfrac{~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1}\cdot \cfrac{4}{3~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{180}{x}=\cfrac{4}{3}\implies 540=4x\\\\\\ \cfrac{540}{4}=x\implies 135=x](/tpl/images/0256/7404/5807c.png)
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What is 3pi/4 radians converted to degrees? if necessary, round your answer to the nearest degree.<...
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