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3 years ago

The Graphs With Angles And Lines

Mathematics

1 answer:

Arada [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Soo sorry if i am worng :(

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The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c

bija089 [108]

Given:

The volume of a cylinder is $30 \pi$ cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

Height of the Cone:

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

$H=2h$

Volume of the cylinder:

The formula to determine the volume of the cylinder is

$V=\pi r^2 h$

Since, volume of the cylinder is $30 \pi$ , we get;

$30 \pi = \pi r^2 h$ -------(1)

Volume of the cone:

The formula to determine the volume of the cone is

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

Substituting $H=2h$ , we get;

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

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

Substituting equation (1), we get;

$V=\frac{2}{3} (30 \pi)$

$V=20 \pi$

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

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3 years ago

The figures below are similar, explain what you know about the sides.

dem82 [27]

That they are the exact same shape. Some of the sides will be longer and shorter than the other figure, but same shape.

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3 years ago

Find the value of x. 2x420 3x+10

Elden [556K]

Answer:

2x+20+3x+10 = 180 (int. angles, parallel)

5x+30 = 180

5x=150

x=30

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2 years ago

PLS HELP ASAP !!!! Giving brainlist!

Mice21 [21]

First one (on the left) is 2) associative property because we are regrouping terms or re-associating them based on the parenthesis. Think of the parenthesis like a tent or a house that separates off the stuff outside. First 27 and 36 are grouped, then we move the parenthesis so that 52 and 27 are grouped now.

Second one (on the right) is 1) commutative. The commutative multiplication property says we can multiply two numbers in any order. For example, 4*9 = 36 and 9*4 = 36. The 4 and 9 swap places. In this problem, the 3 and 4x swap places. The use of parenthesis isn't necessary, though it is sometimes used to imply multiplication.

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3 years ago

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The ratio 25:45 in simplest form is

stepladder [879]

25/45=(5∗5)/(5∗9)=5/9

5/9 is the answer.

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3 years ago

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