The figure below shows dimensions of a block of foam used to package a triangular shaped product. The foam is in the shape of a
rectangular prism with a small triangular prism removed from the center. How many cubic centimeters of foam are used to package this product?
1 answer:
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Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 46)° = 180° - 136° = 44°
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tan46° = =
Multiply both sides by 23
23 × tan46° = b, thus
b ≈ 23.8 ( to the nearest tenth )
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cos46° = =
Multiply both sides by c
c × cos46° = 23 ( divide both sides by cos46° )
c = ≈ 33.1 ( to the nearest tenth )