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sveta [45]
3 years ago
11

The surface area of a cube is 24 cm squared. What would the surface are of the prism be if each dimension were quadrupled?

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0
CubeSA=6 squares
SA=6s^2
SA=24
24=6s^2
divide 6
4=s^2
2=s

quadrupled means times 4
2*4=8
8=new side
sub back
SA=6(8^2)
SA=6(64)
new SA=384 cm^2
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Find the inverse of the following matrix without using a calculator 1-1 2 -3 2 1 0 4 - 25
Artist 52 [7]

Answer:

18  -(17/3)   (5/3)

25  (25/3)  (7/3)

4    (4/3)     (1/3)

Step-by-step explanation:

You can solve this problem by using the Gauss-Jordan method.

You have the original matrix and then the Identity matrix.

So:

Original              Identity

1 -1 2                    1 0 0

-3 2 1                   0 1 0

0 4 -25                0 0 1

By the Gauss-Jordan method, in the original place you will have the identity and in the place that the identity currently is you will have the inverse matrix:

So, let's start by setting the first row element to 0 in the second and the third line.

The first row element of the third line is already at zero, so no changes there. In the second line, we need to do:

L2 = L2 + 3L1

So now we have the following matrixes.

1 -1 2        |            1 0 0

0 -1 7       |            3 1 0        

0  4 -25   |            0 0 1

Now we need the element in the second line, second row to be 1. So we do:

L2 = -L2

1 -1 2        |            1 0 0

0 1 -7       |            -3 -1 0        

0  4 -25   |            0 0 1

Now, in the second row, we need to make the elements at the first and third line being zero. So, we have the following operations:

L1 = L1 + L2

L3 = L3 - 4L2

Now our matrixes are:

1 0 -5       |            -2 -1 0

0 1 -7       |            -3 -1 0        

0 0 3       |            12 4 1

Now we need the element in the third line, third row being one. So we do:

L3 = -L3

1 0 -5       |            -2  -1     0

0 1 -7       |            -3  -1      0        

0 0 1       |            4    (4/3) (1/3)

Now, in the third row, we need the elements in the first and second line being zero. So we do:

L1 = L1 + 5L3

L2 = L2 + 7L3

So we have:

1 0 0 |       18  -(17/3)   (5/3)

0 1 0 |       25  (25/3)  (7/3)

0 0 1 |       4    (4/3)     (1/3)

So the inverse matrix is:

18  -(17/3)   (5/3)

25  (25/3)  (7/3)

4    (4/3)     (1/3)

4 0
3 years ago
Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 ft. and Grace threw it
Blababa [14]

Answer:

42+39 or 81 feet

Step-by-step explanation:

add them up and you get 81 feet.

Hope this helps plz hit the crown :D

4 0
3 years ago
Convert 5 1/8 to a fractional notation
nataly862011 [7]
Basically speaking, a fractional notation is the same as a fraction itself. Thus, the best way to express the given problem in here would be to turn it into a fraction. Since the given variable is a mixed number, meaning that it is a whole number and a fraction combined, it can be turned into just a fraction or more specifically, an improper fraction. To do this, we have to take the denominator and multiply it to the whole number. After that, the product would be added to the numerator. The sum would be the new numerator and the denominator would remain the same. Thus, the answer would be 41/8
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3 years ago
Can someone help me w this question? rq?
victus00 [196]

Answer:

C.

Step-by-step explanation:

We can off-the-bat eliminate choices A and B, because the first part of the quadratic formula is a -b. Therefore, the value for b in the quadratic has to be a positive, because the value in the formula is negative. This leaves us with choices C and D. If you look at the discriminant, you will see that our <em>a </em>in the quadratic formula is 3, so your answer choice is C.

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Lady_Fox [76]

Answer:

51.2 ounces.

Step-by-step explanation:

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5 0
3 years ago
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