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benchang531
01.07.2021 •
Mathematics
Please help. Solve the triangle. Round ans to the nearest tenth.
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Ответ:
9514 1404 393
C = 21°a = 13.3c = 5.4Step-by-step explanation:
The third angle can be found from the sum of angles in a triangle.
A + B + C = 180°
C = 180° -62° -97°
C = 21°
__
The remaining side lengths can be found using the Law of Sines.
a/sin(A) = b/sin(B)
a = sin(62°)(15/sin(97°)) ≈ 13.34
Similarly, ...
c/sin(C) = b/sin(B)
c = sin(21°)(15/sin(97°)) ≈ 5.42
The remaining side lengths are approximately ...
a ≈ 13.3
c ≈ 5.4
Ответ:
6
Step-by-step explanation:
the volume of a prism is always the base times the height this can be written as V = bh
we know the volume is 144 and the base is 24
substitute this into your equation: 144 = 24h
divide both sides by 24 to find h
144 ÷ 24 = 6
so you get h = 6