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Genrish500 [490]
3 years ago
5

Would tripling the height of a triangular prism triple its volume? Explain.

Mathematics
2 answers:
DochEvi [55]3 years ago
7 0

Yes

By tripling the height, you would triple the volume.

Also , By tripling the radius, you would increase the volume to nine times the original

kap26 [50]3 years ago
6 0
That’s the correct answer they are looking for

Answer: By tripling the height, you would triple the volume. By tripling the radius, you would increase the volume to nine times the original.
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Need help with stats!
KIM [24]

Answer:

A. a) 24

A. b) 4

B. a) 40320

B. b) 576

Step-by-step explanation:

General formula for Permutations:

P(n,r) = \frac{n!}{(n - r)!}

A. Concert seats:  2 couple --- total of 4 persons.

a) without restrictions

Since there are no restrictions, but that the order is important (John, Mary, Paul, Michelle isn't the  same as Michelle, Mary, Paul, John), it's a permutation calculation.

Then we calculate the permutations of 4, out of 4, so...

P(4,4) = \frac{4!}{(4 - 4)!} = 4! = 24

24 different ways for them to sit.

b) couples together

Now, we can see the problem as having 2 levels of permutations, first the couples, then inside the couples.

There are 2 ways for the first level or order... couples AB or BA, so 2 possibilities.

Inside each couple, man then woman (MW) or woman then man (WM), so 2 possibilities there too on 2nd level.

Overall 2 * 2 = 4 ways to sit by couple.

B) Single file

a) without restrictions

Again, order is important, so another permutation, not a combination.  And since we have no restriction, it can be any sequence.

We then have to calculate the number of permutations of 8 out of 8...

P(8,8) = \frac{8!}{(8 - 8)!} = 8! = 40320

There are 40,320 ways these 8 kids can pass the door.

b) girls first.

So, the four girls have to enter first.... and these four girls can be in any order.. how many permutations? P(4,4)... so 24 as calculated above.

For the four boys, how many permutations?  Yes, again P(4,4)... so 24 again.

Overall, we need to multiply the two... 24 x 24 = 576 ways if the girls enter first, followed by the boys.

8 0
3 years ago
Hi I need help can someone simplify this?
marta [7]
The simplified expression is c^5
8 0
3 years ago
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1/4 cupcakes for 28 kids
MaRussiya [10]
14 ÷ 28 =7 its must 28÷4
7 0
3 years ago
I can find the perimeter and area of the rectangle
Svetllana [295]

Answer:

A = 72, P = 38

Step-by-step explanation:

Area can be found by getting the area of the overall figure, and then subtracting the blank space in the corner

12 * 7 = 84

3 * 4 = 12(invisible rectangle in top right)

84 - 12 = 72

Perimeter can be found by adding all of the sides

12 + 7 + (12-4) + 3 + 4 + (7-4)

The numbers in brackets are the unlabeled sides on the top and left.

4 0
2 years ago
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|8| &gt; |-8| True False<br> answer please
Tom [10]

Answer:

false

Step-by-step explanation:

8 0
3 years ago
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