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Find the cosine of ∠G.

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

cos(G )=

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE Find the cosine of G Write your answer as an integer or as a decimal rounded to the nearest hundredth cosG class=

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Answer:   0.6

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Work Shown:

x = length of GH

Through the Pythagorean theorem, we can say

a^2 + b^2 = c^2

(FH)^2 + (GH)^2 = (FG)^2

4^2 + x^2 = 5^2

16 + x^2 = 25

x^2 = 25-16

x^2 = 9

x = sqrt(9)

x = 3

GH = 3

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Now compute the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(G) = GH/FG

cos(G) = 3/5

cos(G) = 0.6