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Alex787 [66]
3 years ago
8

Please help with this problem see image

Mathematics
1 answer:
babymother [125]3 years ago
5 0
Applying cosines law we have:
 5 ^ 2 = 7 ^ 2 + 6 ^ 2 - 2 * 7 * 6 * cos (F)
 Clearing the angle we have:
 cos (F) = (5 ^ 2 - 7 ^ 2 - 6 ^ 2) / (- 2 * 7 * 6)
 cos (F) = 0.714285714
 Then, clearing the angle:
 F = acos (0.714285714)
 F = 44.42 degrees
 Rounding:
 F = 44 degrees
 Answer:
 
F = 44 degrees
 
option 1
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Hi there!

A=\frac{1}{2} Pa where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

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