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kondaur [170]
4 years ago
10

The Truit family rented the cabin shown in the shape in a triangular prism. The cabin is 30 feet deep. What is its volume?

Mathematics
1 answer:
aleksley [76]4 years ago
6 0

Answer:

Volume = 5625ft³

Step-by-step explanation:

Volume of a triangular prism = 1/2bhl

1/2 x base x height x length

Therefore we have in this case

Base = 15ft

Height = 30ft

Length = 25ft

Volume = 1/2 x 30 x 25 x 15

Volume = 5625ft³

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Expand and simplify (x+5)(x-2)
salantis [7]

Answer:

{x}^{2} - x - 12 = (x + 3)(x - 4)

{x}^{2} + 3x + 2 = (x + 2)(x + 1)

{x}^{2} + 3x - 10 = (x + 5)(x - 2)

Step-by-step explanation:

F [First terms] - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT

O [Outside terms] - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT

I [Inside terms] - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT

L [Last terms] - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT

{x}^{2} - x - 12 = {x}^{2} - 4x + 3x - 12

{x}^{2} + 3x + 2 = {x}^{2} + x + 2x + 2

{x}^{2} + 3x - 10 = {x}^{2} - 2x + 5x - 10

I am joyous to assist you anytime.

8 0
3 years ago
What fraction describes how much more of<br><br> the trail Jon hiked than Andrea hiked?
34kurt
What is the whole question
3 0
3 years ago
Well, I have to write 20 words, so... I think this is enough.
Varvara68 [4.7K]
<h3>Answer: Choice D</h3><h3>m = n</h3><h3>b = sqrt(pi)*a</h3>

=====================================================

Explanation:

Each circle has a radius of 'a'. So r = a.

The area of each circle is pi*r^2 = pi*a^2

The area of each square with side length b is b^2

The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.

Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a

The stacks must also be the same height for the volumes to be the same, so m = n as well.

6 0
3 years ago
. Benson had -$12 in his bank
natka813 [3]

Answer: 24

Step-by-step explanation:

you add 12 to 39 which equals 51 then you subtract 51 from 75 which equals 24

hope this helps

3 0
1 year ago
Read 2 more answers
What is the answer to this sum 5/6 of 120
ELEN [110]
100 is the correct answer
6 0
3 years ago
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