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GalinKa [24]
3 years ago
7

Factor the expression using the GCF. 60 – 36 =

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer

12 (5 - 3)

Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

 

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

 

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

 

The two number have the factors, 2, 2, and 3 in common.

 

The greatest common factor is then: 2 * 2 * 3, or 12.

 

The expression can be factored as:  12 ( 5 - 3)

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Answer:

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Step-by-step explanation:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Given :

Joshua has a ladder that is 12 ft long.

He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.

For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.

Check the angle that the ladder makes with the ground:

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To make the ladder safe, the height should not be 11.8ft.

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