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balandron [24]
3 years ago
10

What is the hypotenuse of a triangle with 4 ft and 5 ft

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

\Large\text{The hypotenuse is}\ \sqrt{41}\ ft\approx6.4\ ft

Step-by-step explanation:

\text{Use the Pythagorean theorem:}

a^2+b^2=c^2

\text{a, b - legs}\\\text{c - hypotenuse}

\text{We have the legs 4ft and 5ft. Substitute:}

c^2=4^2+5^2\\\\c^2=16+25\\\\c^2=41\to c=\sqrt{41}

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Morgarella [4.7K]

Answer:

The combination is 15

Step-by-step explanation:

There are 6 people in a raffle drawing. two raffle winners each wing gift cards . each gift card is the same.

Lets call the winners Winner 1, Winner 2. According to the given statement each gift card is same, thus any permutation of these two winners are  equivalent.This tells us that the order of winners does not matter and the situation involves a combination.

Now we have to calculate the combination of 2 winners from 6 people.

nCm = m!/n!(m-n)!

where m = 6

n = 2

2C6 = 6!/2!(6-2)!

2C6 = 6!/2!(4)!

2C6 = 6*5*4*3*2*1/2*1*4*3*2*1

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4 years ago
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lesya [120]

Answer:

70%

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3 years ago
The sum of two integers is 81.if the product is 1088.what are the integers
arlik [135]

Answer:

(a;b)={(17; 64); (64; 17)}

Step-by-step explanation:

a+b=81 => b=81-a

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a²-81a+1088=0

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for a=17 => b=81-17=64

for a=64 => b=81-64=17

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