jsan21
jsan21 jsan21
  • 25-11-2019
  • Mathematics
contestada

In triangle ABC mzA -45, mzB = 40", and a = 7. Which equation should you
solve to find b?

In triangle ABC mzA 45 mzB 40 and a 7 Which equation should you solve to find b class=

Respuesta :

calculista
calculista calculista
  • 07-12-2019

Answer:

Option A. [tex]\frac{sin(45\°)}{7}=\frac{sin(40\°)}{b}[/tex]

Step-by-step explanation:

we know that

Applying the law of sines in the triangle ABC

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

substitute the given values

[tex]\frac{sin(45\°)}{7}=\frac{sin(40\°)}{b}[/tex]

[tex]b=\frac{7}{sin(45\°)}sin(40\°)\\\\b=6.4\ units[/tex]

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