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3 years ago

Factor 64a^3 -8b^3 Explain all steps.

Mathematics

1 answer:

grandymaker [24]3 years ago

8 0

Answer:

$8(2a- b)(4a^2+ 2ab+ b^2)$

Step-by-step explanation:

factor out the 8

then you have the sum/difference of cubes..

look that up SOAP: same opposite, always a plus

$64a^3 -8b^3\\8(8a^3 -b^3)$

$8(2a- b)(4a^2+ 2ab+ b^2)$

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Find the area in blue.

barxatty [35]

Answer: The area is 13 $\pi$ ft^2 or 40.84 ft^2

Step-by-step explanation:

First find the area of the square and subtract it from the area of the circle.

The area of a square is one of the side length squared.

A= 6^2

A = 36

Now find the area of the whole circle.As it indicates that the diameter is 14ft and to find the area of a circle,we need square the radius and multiply it by pi.

Since the diameter is 14 divide it by 2 to find the radius. 14/2 = 7

A= 7^2* $\pi$

A = 49 $\pi$ We will leave the area in terms of pi.

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3 years ago

A cylinder has a height of 4 inches greater than the radius of its base. Find the radius and the height to the nearest inch if t

anastassius [24]

Answer:

$h=5in, r=1in$

Step-by-step explanation:

The volume of a cylinder is:

$V=\pi*r^2*h$

where $r$ is the radius and $h$ is the height.

The height is 4 inches greater that the radius, so:

$h=r+4in$

Substituting this in the formula for volume:

$V=\pi*r^2*(r+4)$

the volume is $V=5\pi in^3$

thus:

$5\pi in^3=\pi*r^2*(r+4in)$

Dividing everything between pi:

$5in^3=r^2*(r+4in)$

$5in^3=r^3*+4r^2$

We can see that the solution for this is $r=1in$

since $(1)^3*+4(1)^2=1+4=5$

We have the radius, now we find the height:

$h=r+4in=1in + 4in = 5in$

$h=5in, r=1in$

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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Reptile [31]

Yes 28/30 is bigger than 4/5.

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