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mrs_skeptik [129]
3 years ago
7

Two workers tied a 50 foot cable to the top of a pole they were going to cut down. The cable reached 40 feet from the base of th

e pole. How tall was the pole?
Mathematics
1 answer:
nika2105 [10]3 years ago
7 0
The pole had to be 30 feet tall.

When the whole thing was set up, it looked like a right-angled triangle.

As we know, right angled triangles are always in a 3:4:5 ratio, where 5 is the longest side.

In this case we already knew that the longest side was 50, which simplified to 5, and the other side was 40, which simplified to 4. That means because it was a right-angled triangle, the other side had to be 30, which simplified to 3 and completed the ratio.
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Solve for x: 2x + 13 = 8x - 41
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Answer:

9 is your answer for x.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, & =

Parenthesis

Exponent (& Roots)

Multiplication

Division

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First, subtract 13 & 8x from both sides:

2x (-8x) + 13 (-13) = 8x (-8x) - 41 (-13)

2x - 8x = -41 - 13

Simplify. Combine like terms:

-6x = -54

Isolate the variable, x. Divide -6 from both sides:

(-6x)/-6 = (-54)/-6

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x = 9

x = 9 is your answer.

~

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