sally4868 sally4868
  • 26-06-2019
  • Mathematics
contestada

What is the answer of a ?

What is the answer of a class=

Respuesta :

gmany
gmany gmany
  • 06-07-2019

Answer:

2.2

Step-by-step explanation:

Use the cosine law (look at the picture).

We have:

[tex]a=a\\b=4\\c=3\\\gamma=32^o[/tex]

[tex]a^2=4^2+3^2-2(4)(3)\cos32^o[/tex]

[tex]\cos32^o\approx0.848[/tex] → look at the second picture

[tex]a^2=16+9-24(0.848)\\\\a^2=25-20.352\\\\a^2=4.648\to a=\sqrt{4.648}\\\\a\approx2.2[/tex]

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