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ad-work [718]
3 years ago
12

A cone is twice as tall as a cylinder of the same radius. what is the ratio of there volumes?

Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0
Cylinder) = Bh, where B is the area of each of the two circular bases and h is the height of the cylinder. ... Therefore, for a cone which has the same radius and height as a cylinder, we see that the volume of the cone is one-third (1/3) the volume of the cylinder
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What is the value of C in the matrix equation below?
lara [203]

Given:

The matrix equation is:

\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}

To find:

The value of matrix C.

Solution:

Let A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}. Then the given equation can be rewritten as

A-C=B

-C=B-A

C=-(B-A)

C=A-B

On substituting the values of the matrices, we get

C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}

C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}

C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}

C=\begin{bmatrix}-4&2&-7\end{bmatrix}

Therefore, the correct option is C.

6 0
3 years ago
Read 2 more answers
Solve the question below.<br><br> A. 3<br> B. 7.5<br> C. 4.5<br> D. 6
Otrada [13]

Answer:

3

Step-by-step explanation:

Triangle ABO is a right triangle, and so we can use the Pythagorean Theorem to find the radius, r:

r² + 6² = 7.5²,  or  r² = 56.25 - 36 = 20.25

Taking the square root of both sides yields r = √20.25 = 4.5.

If the radius is 4.5, then subtracting this from 7.5 yields 3, the distance between point A and the rim of the circle.

The desired distance is 3 (Answer A).

4 0
4 years ago
I need the help as possible please somebody help me I need help I swear please somebody help me help me help me please someone h
muminat

Here is your answer

A. (4,-7)

REASON:

In quadrant IV abscissa is +ve and ordinate is -ve. Since absolute value is 11

Here |4|+|-7|= 4+7= 11

HOPE IT IS USEFUL

3 0
4 years ago
A person wishes to mix coffee worth ​$9 per lb with coffee worth ​$3 per lb
Sedaia [141]
To answer the question, let x be the number of pounds of coffee worth $9. Having said that, the number of pounds of coffee worth $3 is 120 - x. The equation relating the items before and after mixing is,
                      (x)($9) + (120 - x)($3) = (120)($5)
The value of x is 40. Therefore, the amount of coffee worth $9 and $3 to be used are 40 and 80 pounds, respectively.
7 0
3 years ago
Evaluate 5! + 2!. <br><br> 60<br> 122<br> 5040
grandymaker [24]
5! = 5 *4*3*2*1 = 120

2! = 2*1 = 2

120 +2 = 122
7 0
4 years ago
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