hannahfitzsimmons20 hannahfitzsimmons20
  • 02-07-2022
  • Mathematics
contestada

Find x. Round to the nearest 10th

Find x Round to the nearest 10th class=

Respuesta :

Hope008
Hope008 Hope008
  • 02-07-2022

Answer:

[tex]\boxed{\bf x = 23.5}[/tex]

Step-by-step explanation:

Using the law of sines.

[tex] \bf \cfrac{ \sin(A) }{a} = \cfrac{ \sin(B) }{b} [/tex]

  • A = 42
  • B = x
  • a = 22
  • a = 12

[tex]\bf \cfrac{ \sin(42) }{22} = \cfrac{ \sin(x) }{12} [/tex]

[tex]\bf \cfrac{12}{22} \sin(42) = \sin(x) [/tex]

[tex] \bf \sin(x) = 0.4[/tex]

[tex]\bf x = 23.5[/tex]

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