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s344n2d4d5 [400]
3 years ago
9

Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengt

hs of 2.4 feet and a height of 3.4 feet. Find the percentage of the amount of paint she would use to paint all but the bottom surface of the prism to the amount she would use to paint the entire prism. Round to the nearest tenth.
Mathematics
1 answer:
Brrunno [24]3 years ago
3 0
The top and bottom have area (2.4 ft)² = 5.76 ft².

The sides have area (4*2.4 ft)*(3.4 ft) = 32.64 ft².

The the total area is (2*5.76 +32.64) ft² = 44.16 ft². All but the bottom area is then 44.16 ft² -5.76 ft² = 38.40 ft².

The ratio (all but bottom area)/(total area) is then
  38.40/44.16 ≈ 87.0%
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Answer:

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Step-by-step explanation:

substitute y=6 and x=1 in the given relations and see if works

y=2x will be 6 = 2*1 false

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Answer:

m∠B = 66.3°

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Step-by-step explanation:

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⇒ m∠B = 180 - 90 - 23.7 = 66.3°

We can use the sine rule to help solve the missing side lengths.

<u>Sine rule</u>

\dfrac{a}{sin(A)}=\dfrac{b}{sin(B)}=\dfrac{c}{sin(C)}

where A, B and C are the angles and a, b and c are the side lengths opposite the angles.

Therefore,

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\implies b=\dfrac{0.0793}{sin(90)} \times sin(66.3)=0.072612043...=0.0726

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