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Nataliya [291]
3 years ago
11

Which value from the set {3, 8, 9, 14} makes the equation true ?

Mathematics
1 answer:
ratelena [41]3 years ago
7 0

Answer:

c. 8

Step-by-step explanation:

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Referring to the figure, find the area of the
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A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely
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thats alot of people don't you think

Step-by-step explanation:

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2 years ago
Y = 2x <br> x + y = −6<br> the answer should be like this (x,y) or ( , )
melisa1 [442]

Answer:

(-2, -4)

Step-by-step explanation:

Given:

The system of equations to solve is given as:

y=2x\\\\x+y=-6

In order to solve this system of linear equations, we use substitution method.

In substitution method, we substitute the value of any one variable in the other equation.

So, we substitute the value of 'y' from first equation in the second equation.

This gives,

x+2x=-6\\\\3x=-6

Dividing both sides by 3, we get:

\frac{3x}{3}=\frac{-6}{3}\\\\x=-2

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3 years ago
Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If th
Evgen [1.6K]

Answer:

Part 1) The volume of the prism is 3 times greater than the volume of the pyramid

Part 2) The prism would fill only one-third

Part 3) The cylinder and the cone

Step-by-step explanation:

Part 1) How do their volumes compare?

we know that

The volume of a rectangular prism is equal to

Vprism=BH

where

B is the area of the base of rectangular prism

H is the height of the prism

The volume of a rectangular pyramid is equal to

Vpyramid=\frac{1}{3}BH

where

B is the area of the base of rectangular pyramid

H is the height of the pyramid

Compare the volumes

Vprism=BH -----> equation A

Vpyramid=\frac{1}{3}BH -----> equation B

substitute equation A in equation B

Vpyramid=\frac{1}{3}Vprism

Vprism=(3)Vpyramid

The volume of the prism is 3 times greater than the volume of the pyramid

Part 2) If the pyramid was full of water, how much of the prism would it fill up?

Remember that

Vpyramid=\frac{1}{3}Vprism

therefore

The prism would fill only one-third

Part 3) Name another pair of three-dimensional objects that have a relationship similar to this

we have the cylinder and the cone

The volume of the cylinder is equal to

Vcylinder=\pi r^{2}h

The volume of the cone is equal to

Vcone=\frac{1}{3}\pi r^{2}h

Compare the volumes

Vcylinder=(3)Vcone

The volume of the cylinder is 3 times greater than the volume of the cone

3 0
3 years ago
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