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spayn [35]
3 years ago
9

An escalator in a department store makes an angle of 45∘with the ground. How long is the escalator if it carries people a vertic

al distance of 24 feet?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

Length of the escalator is 33.94 feet.

Step-by-step explanation:

In the attached figure we can see that

sin(\theta )=\frac{V}{L}

It is given that

angle = 45

Vertical Height 'V' = 24 feet

Applying values in the above equation we get

sin(45^{o})=\frac{24}{L}\\\\\frac{1}{\sqrt{2}}=\frac{24}{L}\\\\ \therefore L=24\times \sqrt{2}\\\\L=33.94feet

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Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
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Answer:

a) Add 4 to both sides, and then divide by 2. The solution is x=12.

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

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Solution:

Given equation:

2x-4=20

We need to determine the steps in order to solve for x.

Solving for x.

Step 1: Adding 4 both sides.

2x-4+4=20+4

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Step 2: Dividing both sides by 2.

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