saragorham
saragorham saragorham
  • 15-07-2018
  • Mathematics
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Analyze the diagram below and complete the instructions that follow.

Analyze the diagram below and complete the instructions that follow class=

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DeanR
DeanR DeanR
  • 15-07-2018

Law of Cosines says


[tex]b^2 = a^2 + c^2 - 2 ac \cos B[/tex]


[tex] 2 a c \cos B = a^2 + c^2 - b^2[/tex]


[tex] \cos B = \dfrac{a^2 + c^2 - b^2}{2 a c} [/tex]


[tex] \cos B = \dfrac{16^2 + 16^2 - 11^2}{2(16)(16)} = \dfrac{ 391}{512}[/tex]


[tex]B = \arccos \dfrac{ 391}{512} \approx 40.2 ^\circ[/tex]


Choice C


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