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3 years ago

Multiply (x-2) (2x+4)

Mathematics

1 answer:

Bas_tet [7]3 years ago

5 0

Answer:

$2x {}^{2} - 8 = 0$

Step-by-step explanation:

$(x-2) (2x+4) = 0\\ 2x {}^{2} + 4x - 4x - 8 = 0 \\ 2x {}^{2} - 8 = 0$

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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

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Answer:

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Step-by-step explanation:

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Answer:

they paid him at least 23

Step-by-step explanation:

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Answer:

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