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raketka [301]
2 years ago
5

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a si

de of 15. If the volumes of the two prisms are equal, what is
the height of the second prism?
Mathematics
1 answer:
RSB [31]2 years ago
6 0

Answer:

The height of the second prism is 12 units.

Step-by-step explanation:

First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that

Volume= 15^2 x\\2700/225=x\\12=x

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AleksandrR [38]

Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

4 0
3 years ago
Evaluate y = 7x when x = -5
borishaifa [10]

Answer:

-35

Step-by-step explanation:

7 x -5 = -35

hope this helped!! ^^

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2 years ago
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3 years ago
Find all values of x for which the series converges. (enter your answer using interval notation. ) [infinity] (4x)n n = 1
andreyandreev [35.5K]

The series converges to  1/(1-9x) for -1/9<x<1/9                  

Given the series is  ∑ 9x^{n} x^{n}

We have to find the values of x for which the series converges.

We know,                

∑ ar^{n-1}    converges to  (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ (9x)^{n} is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to   1/1-9x  for  -1/9<x<1/9

For more information about convergence of series, visit

brainly.com/question/15415793

#SPJ4

8 0
1 year ago
Help please 100 brainlest
Ksju [112]

Answer:

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Step-by-step explanation:

8th day will be monday

then 32 nd will be monday.

so 36th is friday

7 0
1 year ago
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