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Artyom0805 [142]
2 years ago
13

Find the value of x. If necessary, write your answer in simplest radical form. x=?

Mathematics
1 answer:
Sever21 [200]2 years ago
5 0
Pythagoras’ theorem

a^2 + b^2 = c^2

Where a and b are two sides on a triangle and c is the hypotenuse.

Rearrange to find one to the sides that isn’t the hypotenuse.

a^2 = c^2 - b^2
a^2 = 25^2 - 10^2
a^2 = 625 - 100
a^2 = 525

(square root)

a = √525

= 5√21
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Answer = 18


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A

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3 years ago
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When testing for current in a cable with eight ​color-coded wires, the author used a meter to test five wires at a time. How man
balu736 [363]

Answer:

56 different tests

Step-by-step explanation:

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Number of wires available (n) = 8

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In order to find the number of different tests required for every possible pairing of five wires, we need to find the combination rather than their permutation as order of wires doesn't disturb the testing.

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^nC_r=\frac{n!}{r!(n-r)!}

Plug in the given values and solve. This gives,

^8C_5=\frac{8!}{5!(8-5)!}\\\\^8C_5=\frac{8\times 7\times 6\times 5!}{5!\times 3\times2\times1}\\\\^8C_5=56

Therefore, 56 different tests are required for every possible pairing of five ​wires.

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