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Readme [11.4K]
3 years ago
8

Every minute, 2.2 gallons of water flows from a shower. A family of 5 people showers for an average of 9 minutes per person ever

y morning. How many gallons of water does the family use for showering every morning?
Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

5 x 9 x 2.2 = 99 gallons

99 gallons

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Use the converse of the Pythagorean theorem to decide whether ΔABC is a right triangle by answering the questions.
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Answer:

Pythagorean theorem: a^2 + b^2 = c^2

1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.

a^2 + 12^2 = 15^2

a^2 + 144 = 225

a^2 = 81 --> sqaure root to find the answer basically.

a = 9

- we put AD as a so AD = 9

final answer : 9

2. to find AC, simply add AD and DC.

9 + 16 = 25

final answer: AC = 25

3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.

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The volume of a cone is 763.02. the radius and height of the cone are equal. What is the radius of the cone?
LUCKY_DIMON [66]

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

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Answer:

Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.

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