maddiekosman maddiekosman
  • 23-10-2018
  • Mathematics
contestada

What is –36° converted to radians?
-5[tex] \pi [/tex]
-5/[tex] \pi [/tex]
-[tex] \pi [/tex]/5
-1/5

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jdoe0001 jdoe0001
  • 23-10-2018

let's recall that there are 180° in π radians, thus


[tex]\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ -36&x \end{array}\implies \cfrac{180}{-36}=\cfrac{\pi }{x}\implies -5=\cfrac{\pi }{x}\implies x=\cfrac{\pi }{-5}\implies x=-\cfrac{\pi }{5}[/tex]

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