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3 years ago

What interval includes all possible values of x, where -3(6 - 2x) >4x + 12

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Step-by-step explanation:

-3(6 - 2x) > 4x + 12

-18 + 6x > 4x + 12

2x > 30

x > 15

The solution set is (15, ∞).

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If the triangle measure 180 degrees. What is the missing angle?

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Step-by-step explanation:

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2 years ago

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

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The volume of the cone is equal to

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

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

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substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

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The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

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3 years ago

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What is x^2 times 4x

Flura [38]

Say x is 1 1^2=1 4x=4 4*1=4 I believe that is what you were asking

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