Question

tema Formula general de conversión
procedimiento porfas​

Answer 1

Respuesta:

Explicación paso a paso:

1 )

a )  $\frac{3\pi }{10} rad$

$\pi rad$    ------------  $180$°

$\frac{3\pi }{10} rad$  ------------   $x$

$x = \frac{(180)(\frac{3\pi }{10} rad)}{\pi rad} =\frac{54\pi rad }{\pi rad}$

x = 54°

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b )

$54^{g}$

$10^{g}$    ---------------  $9$°

$54^{g}$   ----------------    $x$

$x = \frac{(54^{g})(9) }{10^{g} }$

x = 48.6°

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c )

$\frac{11\pi }{90} rad$

$\pi rad$   -----------------  $180$ °

$\frac{11\pi }{90} rad$  ---------------     $x$

$x = \frac{\frac{11\pi }{90}rad * 180 }{\pi rad} =\frac{22\pi rad}{\pi rad}$

x = 22°

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d )

$120^{g}$

$10^{g}$   ----------------  9°

$120^{g}$  ----------------  $x$

$x = \frac{(120^{g})(9) }{10^{g} } = \frac{1080}{10}$

x = 108°

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e )

$\frac{\pi }{12} rad$

$\pi rad$  -----------------   180°

$\frac{\pi }{12} rad$   ---------------     $x$

$x = \frac{(\frac{\pi }{12} rad)(180)}{\pi rad} = \frac{15\pi rad}{\pi rad}$

x = 15°

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2 )

a )

90°

$10^{g}$   ---------------  9°

$x$    ----------------  90°

$x = \frac{(90)(10^{g}) }{9} = \frac{900^{g} }{9}$

$x = 100^{g}$

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b )

$\frac{7\pi }{10}rad$

$\pi rad$   ----------------  $200^{g}$

$\frac{7\pi }{10} rad$  ----------------    $x$

$x = \frac{(\frac{7\pi }{10} rad)(200^{g} )}{\pi rad} =\frac{140^{g} }{1}$

$x = 140^{g}$

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c )

108°

$10^{g}$   -------------   9°

$x$   ----------------  108°

$x= \frac{(10^{g})(108) }{9} = \frac{1080^{9} }{9}$

$x = 120^{g}$

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d )

$\frac{3\pi }{2} rad$

$200^{g}$    ---------------    $\pi rad$

$x$        ----------------    $\frac{3\pi }{2} rad$

$x = \frac{(200^{g})(\frac{3\pi }{2} ) }{\pi rad} = \frac{300^{g} }{1}$

$x= 300^{g}$

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e )  

144°

$10^{g}$    ------------------  9°

$x$      -------------------  144°

$x = \frac{(144)(10^{g}) }{9} =\frac{1440^{g} }{9}$

$x = 160^{g}$

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3 )

a ) 100°

180° ----------------   $\pi rad$

100°  ----------------    $x$

$x = \frac{(100)(\pi rad)}{180}$

$x = \frac{5}{9} \pi rad$

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b )

75°

180° ----------------  $\pi rad$

75°  -----------------    $x$

$x = \frac{(75)(\pi rad)}{180}$

$x = \frac{5}{12} \pi rad$

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c )  

120°

180° ---------------------  $\pi rad$

120°  ---------------------    $x$

$x = \frac{(120)(\pi rad)}{180}$

$x = \frac{2}{3} \pi rad$

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d )

$120^{g}$

$200^{g}$   ----------------   $\pi rad$

$120^{g}$   -----------------      $x$

$x = \frac{(120^{g})(\pi rad) }{200^{g} }$

$x = \frac{3}{5} \pi rad$

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e )

108°

$\pi rad$   --------------------   $180$°

$x$    --------------------------108°

$x = \frac{(108)(\pi rad)}{180}$

$x = \frac{27}{50} \pi rad$