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3 years ago

The ratio of the areas of corresponding faces of two cubes is 1:16. what is the ratio of their volumes?

1 answer:

6 0

The ratio of the areas is the one-to-one measure squared. In order to find the ratio of their volumes, which is a cubed measure, we have to find the one-to-one and them cube it. The square root of 1/16 is 1/4. Now if we cube 1/4 to get the volume, it will be 1/64.

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Naddik [55]

Answer:

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Step-by-step explanation:

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3 years ago

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Vlad1618 [11]

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3 years ago

jek_recluse [69]

Answer:

Step-by-step explanation:

Two similar polygons, means a similarity would exist in both polygons

Perimeter of a rectangle = 2(l +w)
Perimeter of the larger rectangle = 36 (because it's the largest figure)
equation becomes 36 = 2(L + W)
since L = 14, it becomes = 36 = 2(14 +W)
36 = 28 + 2W
2W = 36 - 28 = 2w = 8

w = 4.

Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length of smaller rectangle.

21 = 2(L + 4) = 21 = 2L + 8

2L = 21 - 8 = 2L = 13

L = 13/2 = 6.5.

lastly the product of the length of both polygons = 14 * 6.5 = 91.

Their Products length is 91

6 0

2 years ago

The production department of Celltronics International wants to explore the relationship between the number of employees who ass

Flura [38]

Answer:

(a) Shown below

(b) There is a positive relation between the number of assemblers and production.

Step-by-step explanation:

Let X = number of assemblers and Y = number of units produced in an hour.

(a)

Consider the scatter plot below.

(b)

Based on the scatter plot it can be concluded that there is a positive relationship between the variables X and Y, i.e. as the value of X increases Y also increases.

(c)

The formula to compute the correlation coefficient is:

$r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }$

Compute the correlation coefficient between X and Y as follows:

$r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }=\frac{(5\times430)-(15\times120)}{\sqrt{[(5\times55)-15^{2}][(5\times3450)-120^{2}]}} =0.9272$

Thus, the correlation coefficient is 0.9272.

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2 years ago

Rachel and three friends were going to the movies. Each ticket cost $10.50 and then they bought 2 popcorns at $3.50 each, and th

nadezda [96]

total amount is $46.75 and if they split the cost it is $15.58

8 0

3 years ago