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yan [13]
1 year ago
15

The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 fee

t wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.
To the nearest cubic foot, what is the volume of the greenhouse?
Mathematics
1 answer:
svet-max [94.6K]1 year ago
3 0

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

<h3>What is volume?</h3>

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Find out more on volume at: brainly.com/question/12410983

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I need help? With proof for this one.
Schach [20]

Answer:

See below.

Step-by-step explanation:

ABC is an isosceles triangle with BA = BC.

That makes angles A and C congruent.

ABD is an isosceles triangle with AB = AD.

That makes angles ABD and ADB congruent.

Since m<ABD = 72 deg, then m<ADB = 72 deg.

Angles ADB and CDB are a linear pair which makes them supplementary.

m<ADB + m<BDC = 180 deg

72 deg + m<BDC = 180 deg

m<CDB = 108 deg

In triangle ABD, the sum of the measures of the angles is 180 deg.

m<A + m<ADB + m<ABD = 180 deg

m<A + 72 deg + 72 deg = 180 deg

m<A = 36 deg

m<C = 36 deg

In triangle BCD, the sum of the measures of the angles is 180 deg.

m<CBD + m<C + m<BDC = 180 deg

m<CBD + 36 deg + 108 deg = 180 deg

m<CBD = 36 deg

In triangle CBD, angles C and CBD measure 36 deg making them congruent.

Opposite sides DB and DC are congruent making triangle BCD isosceles.

3 0
2 years ago
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kolezko [41]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Can you please help me?!
Nezavi [6.7K]

Answer:

d) x=5

Go to station 10

Step-by-step explanation:

-\left(1+7x\right)-6\left(-7-x\right)=36

Expand:

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-x+41=36

Subtract 41 from both sides:

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Divide both sides by -1:

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Answer:

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Step-by-step explanation:

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ra1l [238]

Answer:

P={3,4,5,6}

Step-by-step explanation:

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P>2

P={3,4,5,6}

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