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stira [4]
3 years ago
15

If all the sides of a prism are multiplied by 5, by what factor does the volume increase?

Mathematics
1 answer:
NISA [10]3 years ago
4 0
I'd say increasing each side by 5 increases the volume by a factor of 125 because 5*5*5 = 125.

Example:
A 4*5*6 prism has a volume of 120

Increasing each side by a factor of five
(20*25*30) = 15,000

15,000 / 120 = 125

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Someone help me please
tamaranim1 [39]

Answer:

\sqrt{60}

Step-by-step explanation:

Use the Pythagorean theorem a^2 + b^2 = c^2

In this case you are given a and c, so set the equation up like

2^2 + b^2 = 8^2

b^2 = 8^2 - 2^2

b =\sqrt{8^{2} -2^{2} }

b =\sqrt{60}

6 0
2 years ago
Back splash will be a mixture of 5 inch tiles. One quarter of tiles will be indian red one sixth will be tuscan blue one fifth w
frutty [35]

Answer:

23/60

Step-by-step explanation:

All fractions of tiles, when summed up, need to be 1

Indian red is 1/4 of the tiles

Tuscan blue is 1/6 of the tiles

Fucalyptus is 1/5 of the tiles

Sand is X of the tiles (X is the fraction we want to know)

So, we can formulate the equation:

1/4 + 1/6 + 1/5 + X = 1

applying LCM, we have:

(15 + 10 + 12 + 60X) = 60

60X = 23

X = 23/60

5 0
3 years ago
Read 2 more answers
After collecting the data, Christopher finds that the total snowfall per year in Reamstown is normally distributed with mean 94
olga_2 [115]

Answer:

0.9987

Step-by-step explanation:

Using Z score formula

z = (x-μ)/σ, where

x is the raw score = 52 inches

μ is the population mean = 94 inches

σ is the population standard deviation = 14 inches

z = 52 - 94/14

z =-3

Probability value from Z-Table:

P(x<52) = 0.0013499

P(x>52) = 1 - P(x<52)

P(x>52) = 1 - 0.0013499

= 0.99865

Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987

4 0
3 years ago
A number is four-fifths of the other. If their sum is 180, find the numbers.
Andrei [34K]

Answer:

<h2>720 I'm sure that's answer</h2>

4 0
2 years ago
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bezimeni [28]

The correct option is -33/65.

The solution is given below:

5 0
1 year ago
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