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netineya [11]
3 years ago
13

Mika and her two best friends are all dressing up as superheroes for Halloween this year. Their costumes are almost ready, but e

ach person still needs to make a cape. If each cape uses 4 feet of cloth, how many yards of cloth will they use for the 3 capes?
Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

Answer:

4yards

Step-by-step explanation:

4ft×3=12ft

1yrd=3ft

12ft÷3ft=4yards

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you have enough tickets to play 6 different games at a amusement park. if there are 14 games, how many ways can you choose six?
Musya8 [376]

Answer:

3003 ways

Step-by-step explanation:

You can basically choose 6 games from 14 games in total. This is essential a combination problem. We want the number of ways to choose 6 things from 14 things. The general formula for combinations is:

nCr=\frac{n!}{r!(n-r)!}

Which tells us the number of ways to choose "r" things from a total of "n" things.

The factorial notation is:

n! = n * (n-1) * (n-2) * ....

Example:  3! = 3 * 2 * 1

Now, we know from the problem,

n = 14

r = 6

So, substituting, we get:

nCr=\frac{n!}{r!(n-r)!}\\14C6=\frac{14!}{6!(14-6)!}\\=\frac{14!}{8!*6!}\\=\frac{14*13*12*11*10*9*8!}{6!*8!}\\=\frac{14*13*12*11*10*9}{6*5*4*3*2*1}\\=3003

You can choose in 3003 ways

7 0
3 years ago
A sector of a circle of radius "r" cm has an area of "A"cm². Express the perimeter of the sector in terms of "r" and "A"
Andrews [41]

Answer:

2A/r + 2r

Step-by-step explanation:

A sector is made of an arc and two radii. As such, the perimeter of the sector is the sum of the length of an arc and the two radii. Given that the radius is r and the area is A, the area of a sector A

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The length L of an arc of the sector

= Ф°/360° * 2πr

Hence,

A/L = r/2

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= L + 2r

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Matt's volume would be 90 cm. cubed
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4 years ago
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Answer:

3659

Step-by-step explanation:

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