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Vinvika [58]
3 years ago
11

2. the height of one solid limestone square pyramid is 24 m. a similar solid limestone square pyramid has a height of 30 m. the

volume of the larger pyramid is 16,000 m3. determine each of the following, showing all your work and reasoning. a) the scale factor of the smaller pyramid to the larger pyramid in simplest form. b) the ratio of the area of the base of the smaller pyramid to the larger pyramid. c) ratio of the volume of the smaller pyramid to the larger. d) the volume of the smaller pyramid. i don't necessarily want an answer, just an explanation. thank you!
Mathematics
1 answer:
Viktor [21]3 years ago
8 0
A) the scale factor of the smaller pyramid to the larger pyramid in simplest form is 24:30 = 4:5

b) the ratio of the area of the base of the smaller pyramid to the larger pyramid.
From the scale factor, the ratio of the area of the base of the smaller pyramid to the larger pyramid is 4^2 : 5^2 = 16:25

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720 in^3.

Step-by-step explanation:

12 * 60 = 720.

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Jimmy cell phone plan has been a base charge of $50 per month with an additional charge of 65 cents per app downloaded. Lisa cel
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Answer:

20

Step-by-step explanation:

We write what we know.

Jimmy

$50/mo   app 65¢ or .65

Lisa

$55/mo   app 40¢ or .40

a = number of apps

The difference will come from the number of apps, a.

We need them to equal each other so let's write an equation.

$50 + .65a = $55 + .40a

We need to solve for a.

$50 + .65a = $55 + .40a     subtract $50 for each side.

$50 - $50 + .65a = $55 - $50 + .40a

.65a = $55 - $50 + .40a

.65a = $5 + .40a     subtract .40a from each side

.65a - .40a = $5 + .40a - .40a

.65a - .40a = $5

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.25a/.25 = $5/.25

a = $5/.25

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So Jimmy and Lisa need to download 20 apps for their bill to be the same.

7 0
3 years ago
A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the ​z-score corresponding to the given
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Answer:

A. -1.6; not significant

Step-by-step explanation:

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We just have to plug these values into the above formula to obtain:

z=\frac{48.4-66}{11}.

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z=-1.6.

We can see that the z-score falls within two standard deviations of the mean.

Since -2\le-1.6\le2 the value is not significant.

The correct answer is A. -1.6; not significant

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3 years ago
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