Respuesta:
Explicación paso a paso:
1 )
[tex]\frac{\pi }{5} rad[/tex]
180° ------------ [tex]\pi rad[/tex]
[tex]x[/tex] ------------- [tex]\frac{\pi }{5} rad[/tex]
[tex]x = \frac{(180)(\frac{\pi }{5}rad) }{\pi rad} }=36^{0}[/tex]
x = 36°
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[tex]2 )[/tex] [tex]72^{0}[/tex]
180° ------------- [tex]\pi rad[/tex]
72° ---------------- [tex]x[/tex]
[tex]x = \frac{(72)(\pi rad)}{180} =\frac{2\pi }{5} rad[/tex]
[tex]x = \frac{2\pi }{5}[/tex]
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3 ) [tex]\alpha = 27^{0} +63^{0} = 90^{0}[/tex]
180° ---------------- [tex]\pi rad[/tex]
90° ----------------- [tex]x[/tex]
[tex]x = \frac{(90)(\pi rad)}{180} = \frac{\pi }{2} rad[/tex]
[tex]x = \frac{\pi }{2}[/tex]
4 ) [tex]M=\frac{40^{0} }{\frac{\pi }{9}rad }[/tex]
[tex]\pi rad[/tex] ------------ 180°
[tex]x[/tex] ------------ 40°
[tex]x = \frac{(40)(\pi rad)}{180} = \frac{2\pi }{9} rad[/tex]
[tex]M = \frac{\frac{2\pi }{9}rad }{\frac{\pi }{9}rad } = 2[/tex]
[tex]M = 2[/tex]
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5 ) Ф = [tex]\frac{\pi }{4} rad+\frac{\pi }{3} rad+\frac{\pi }{2} rad=\frac{3\pi +4\pi +6\pi }{12}=\frac{13\pi }{12}[/tex]
[tex]x[/tex] ------------------- [tex]\frac{13\pi }{13}[/tex]
[tex]x = \frac{(180)(\frac{13\pi }{12}rad) }{\pi rad} = \frac{195\pi rad}{\pi rad}[/tex]
[tex]x = 195^{0}[/tex]
--------------------------------------------------------------------------------------------
6 ) 140° + 40°
140° + 40° = 180°
180° ----------------- [tex]\pi rad[/tex]
[tex]180^{0}[/tex] ----------------- [tex]x[/tex]
[tex]x = \frac{(180)(\pi rad)}{180}[/tex]
[tex]x = \pi[/tex]
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Verified answer
Respuesta:
Explicación paso a paso:
1 )
[tex]\frac{\pi }{5} rad[/tex]
180° ------------ [tex]\pi rad[/tex]
[tex]x[/tex] ------------- [tex]\frac{\pi }{5} rad[/tex]
[tex]x = \frac{(180)(\frac{\pi }{5}rad) }{\pi rad} }=36^{0}[/tex]
x = 36°
------------------------------------------------------------------------------------------------------
[tex]2 )[/tex] [tex]72^{0}[/tex]
180° ------------- [tex]\pi rad[/tex]
72° ---------------- [tex]x[/tex]
[tex]x = \frac{(72)(\pi rad)}{180} =\frac{2\pi }{5} rad[/tex]
[tex]x = \frac{2\pi }{5}[/tex]
-------------------------------------------------------------------------------------------------
3 ) [tex]\alpha = 27^{0} +63^{0} = 90^{0}[/tex]
180° ---------------- [tex]\pi rad[/tex]
90° ----------------- [tex]x[/tex]
[tex]x = \frac{(90)(\pi rad)}{180} = \frac{\pi }{2} rad[/tex]
[tex]x = \frac{\pi }{2}[/tex]
------------------------------------------------------------------------------------------------------
4 ) [tex]M=\frac{40^{0} }{\frac{\pi }{9}rad }[/tex]
[tex]\pi rad[/tex] ------------ 180°
[tex]x[/tex] ------------ 40°
[tex]x = \frac{(40)(\pi rad)}{180} = \frac{2\pi }{9} rad[/tex]
[tex]M = \frac{\frac{2\pi }{9}rad }{\frac{\pi }{9}rad } = 2[/tex]
[tex]M = 2[/tex]
------------------------------------------------------------------------------------------------
5 ) Ф = [tex]\frac{\pi }{4} rad+\frac{\pi }{3} rad+\frac{\pi }{2} rad=\frac{3\pi +4\pi +6\pi }{12}=\frac{13\pi }{12}[/tex]
180° ---------------- [tex]\pi rad[/tex]
[tex]x[/tex] ------------------- [tex]\frac{13\pi }{13}[/tex]
[tex]x = \frac{(180)(\frac{13\pi }{12}rad) }{\pi rad} = \frac{195\pi rad}{\pi rad}[/tex]
[tex]x = 195^{0}[/tex]
--------------------------------------------------------------------------------------------
6 ) 140° + 40°
140° + 40° = 180°
180° ----------------- [tex]\pi rad[/tex]
[tex]180^{0}[/tex] ----------------- [tex]x[/tex]
[tex]x = \frac{(180)(\pi rad)}{180}[/tex]
[tex]x = \pi[/tex]