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Effectus [21]
2 years ago
12

If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest ten

th of a meter?
Mathematics
1 answer:
TEA [102]2 years ago
6 0

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c²    means        leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

\sqrt{74} = hypotenuse

8.6 = hypotenuse

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larisa86 [58]
<u>27 = 6x + 4y </u>= 1 7/20 = 3 4/5<u>
</u>20 = 2x + 5y<u>
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8 0
3 years ago
Please Help! I will give you a lot of points! (6.3)
Mandarinka [93]

Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.

We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.

We combine like terms to get 3x-20000=211000.

We add 20000 to both sides to get 3x=231000.

We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.

Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.

8 0
3 years ago
write as an expression: a number that is equal to five less than b please show the working out if you can, thanks! &gt;3
Minchanka [31]
"<span>a number that is equal to five less than b"

</span>n-a number

n = b - 5

3 0
4 years ago
The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15c
Alexus [3.1K]

Answer:

a) 5.13% probability that all of the offices are filled by members of the debate​ team

b) 2.56% probability that none of the offices are filled by members of the debate​ team

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the people are chosen is important, since the first person is the president, the second is the vice president and so on... So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

​(a) What is the probability that all of the offices are filled by members of the debate​ team?​

Desired outcomes:

4(president, vice​ president, secretary, and treasurer) offices from a set of 8(candidates of the members debate team).

So

D = P_{(8,4)} = \frac{8!}{(8-4)!} = 1680

Total outcomes:

4 offices from a set of 15 candidates.

T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760

Probability:

P = \frac{D}{T} = \frac{1680}{32760} = 0.0513

5.13% probability that all of the offices are filled by members of the debate​ team

(b) What is the probability that none of the offices are filled by members of the debate​ team?

Desired outcomes:

4(president, vice​ president, secretary, and treasurer) offices from a set of 7(candidates who are not of the members debate team).

D = P_{(7,4)} = \frac{7!}{(7-4)!} = 840

Total outcomes:

4 offices from a set of 15 candidates.

T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760

Probability:

P = \frac{D}{T} = \frac{840}{32760} = 0.0256

2.56% probability that none of the offices are filled by members of the debate​ team

7 0
3 years ago
Which is the best estimate of the solution to this system of equations?​
Lelechka [254]

The best estimate of the solution to this system of equations is about (23,14)

4 0
3 years ago
Read 2 more answers
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