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Gnesinka [82]
2 years ago
13

If the ratio of the edges of two cubes is 3:2, what is the ratio of the volume of the larger cube to the volume of the smaller o

ne?
Mathematics
1 answer:
natulia [17]2 years ago
6 0

Answer:

81 : 8

Step-by-step explanation:

Cube 1 has side lengths of 3, so it's volume is 3³ = 81

Cube 2 has side lengths of 2, so it's volume is 2³ = 8

So the ration of volume of the larger cube to the smaller cube is 81 : 8

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Describe the physical properties of water.
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3 years ago
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Marina86 [1]
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3 years ago
Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?
Radda [10]

Answer:

Correct Answer: (8,2)

Step-by-step explanation:

<u>Dilation about the origin</u>

Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.

In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).

The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)

4 0
2 years ago
A rectangle with an area of 4/7 meters squared is dilated by a factor of 7. What is the area of the dilated rectangle?
nikklg [1K]

Answer:

49

Step-by-step explanation:

Every time you multiply both sides of a rectangle by a number x, its area if multiplied by x^{2}.

In our example:

Area of a rectangle = width . length

width = 4

length   = 7

A_{1} = 4 . 7 = 28

When you multiply both sides by 7:

width = 4 . 7 = 28

length = 7 . 7 = 49

A_{2}  = 28 . 49

A_{2}  = 1372

A_{2}  / A_{1} = 1372 / 28 = 49 = (7)^{2}

Both sides multiplied by 7 => Area multiplied by 7^{2}

Got it?

;-)

7 0
3 years ago
Which is the equation of a line that passes through (1,8) and (6,4)
Sati [7]

Answer:

<em>y = - </em>\frac{4}{5}<em> x + </em>\frac{44}{5}<em> </em>

Step-by-step explanation:

(6, 4)

(1, 8)

m = \frac{8-4}{1-6} = - \frac{4}{5}

y - 4 = - \frac{4}{5} ( x - 6 )

<em>y = - </em>\frac{4}{5}<em> x + </em>\frac{44}{5} ⇔ y = - 0.8x + 8.8

8 0
2 years ago
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