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Cerrena [4.2K]
3 years ago
13

Johnny has a toy tent, as seen below. The area of the base is 60 in2. The height is 8 inches. Calculate the maximum amount of wa

ter that will fill his tent.
Mathematics
1 answer:
marshall27 [118]3 years ago
6 0

Answer:

the tent can hold 8.66 lb of water (or 240 in³ of it)

Step-by-step explanation:

assuming that the tent base is a rectangular area , and the vertical cross section is triangular , then the volume of the tent will be:

Volume of the tent = Area* height/2 = 60 in² * 8 in / 2 = 240 in³

assuming the density of water as 62.4 lb/ft³ then

mass of water = density * volume = 62.4 lb/ft³ * 240 in³ * (1 ft / 12 in)³ = 8.66 lb

then the tent can hold 8.66 lb of water (or 240 in³ of it)

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What are the missing angle measures in triangle ABC?
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we know that

In the right triangle ABC

∠A+∠B=90 ------> by complementary angles

so

Step 1

Find the measure of angle B

we know that

tan\  B=\frac{opposite\  side\  angle\  B}{adjacent\  side\  angle\  B}

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Step 2

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the answer is the option

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