Which expression is not equivalent to the other three?
1 answer:
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9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180
x = 180° - (90 + 35)° = 180° - 125° = 55°
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Since the triangle is right use the cosine ratio to solve for b
cos35° = =
Multiply both sides by 20
20 × cos35° = b, hence
b = 16.38 ( to 2 dec. places )