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ladessa [460]
2 years ago
5

In a right-angled triangle, the hypotenuse is 113 and a leg is 112.

Mathematics
1 answer:
melomori [17]2 years ago
7 0

Answer: 15

Step-by-step explanation: Use the formula: a^{2}+b^{2}=c^{2}

Remember c^{2} should always be the hypotenuse or the longest side.

112^{2}+b^{2}=113^{2} ---> evaluate the exponents

12544+b^{2}=12769 ----> subtract 12544 to the other side

b^{2}=225 ---> take the square root of both sides

b=15

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Alex787 [66]

Answer: It converges.

Step-by-step explanation:

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2 years ago
when using a counterexample to prove a conditional statement false, which must be true about the counterexample?
bagirrra123 [75]
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3 0
3 years ago
156 is 60% of what number
Tanzania [10]
The answer is 93.6
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8 0
2 years ago
Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,
Harlamova29_29 [7]

Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

0.08*0.6 + 0.4x = 0.2

0.4x = 0.2 - 0.08*0.6

x = \frac{0.2 - 0.08*0.6}{0.4}

x = 0.38

0.38 = 38%

Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

3 0
3 years ago
Please help me with this question:)!
Georgia [21]

Answer:

i think so option b is the correct option.

Step-by-step explanation:

because 3+7=10 not 11.

6 0
2 years ago
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