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tester [92]
3 years ago
10

The height of a cone is twice the radius of its base.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

Answer:

⅔πx³

Step-by-step explanation:

The formula for the volume of a cone is

V = ⅓πr²h

    Let x = radius of base.

Then 2x = height, and

V = ⅓πx²·2x = ⅔πx³

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How do you simplify (2xy2)3
pantera1 [17]
(2xy^{2})^{3} = (2xy^{2})(2xy^{2})(2xy^{2})
Now, we can just multiply it and obtain the result
(2xy^{2})(2xy^{2})(2xy^{2})=(4x^{2}y^{4})(2xy^{2})=8x^{3}y^{6}

I used law presented on this example
2^{3}*2=2^{3}*2^{1}=2^{3+1}=2^{4}
4 0
3 years ago
Write a multiplication equation and a division equation that this diagram could represent.
vivado [14]

Answer:

3 * 18= 54 and 54/18 = 3

Step-by-step explanation:

Given

Sections = 3

Measurement=18 per section

Total\ Measurement=54

Required

Model the scenario

The model of this scenario is:

Sections * Measurement = Total\ Measurements

This gives:

<em />3 * 18 = 54<em> -- This represents the multiplication model</em>

Divide both sides by 18

3 * 18/18 = 54/18

3 * 1 = 54/18

3 = 54/18

Reorder

<em />54/18 = 3<em> -- This represents the division model</em>

7 0
3 years ago
Read 2 more answers
Alvin is 7 years younger than Elgas. The sum of their ages is 63. What is Elgas age?
Elden [556K]

Answer:

Elgas is 35.

Step-by-step explanation:

Let's set up an equation.

Alvin is 7 years younger than Elgas.

A = E - 7

The sum of their ages is 63.

A + E = 63

Let's use substitution.

Plug in the first equation of A into the second equation.

A + E = 63

(E - 7) + E = 63

Combine like terms.

2E - 7 = 63

Add 7 to both sides.

2E = 70

Divide both sides by 2.

E = 35

Elgas is 35.

Hope this helps!

6 0
3 years ago
I really need help on this question!!!
Marysya12 [62]

Answer: 1795.

Step-by-step explanation:

The statement states that it was invented "177 years before".

It also states the year the video game was invented which is 1972.

1972-177=1795.

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME, I HAVE NO IDEA! Find an equation for the line below.
irga5000 [103]

9514 1404 393

Answer:

  y -2 = -2/3(x +4)

Step-by-step explanation:

There are several different forms of the equation for a line. Each is useful in its own way. Here, the line crosses the y-axis at a point between integer values, so using that intercept point could be problematical. That suggests the "point-slope" form of the equation for a line would be a better choice.

That form is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

__

The two marked points are (-4, 2) and (5, -4). All we need is the slope.

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1) . . . . . . . . where the given points are (x1, y1) and (x2, y2)

  m = (-4 -2)/(5 -(-4)) = -6/9 = -2/3

Using the first point, the equation for the line can now be written as ...

  y -2 = -2/3(x -(-4))

  y -2 = -2/3(x +4)

8 0
3 years ago
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