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makvit [3.9K]
2 years ago
12

A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the

distance from the boat to the dock when the rope is 25 feet long?
Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}

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When a volcano​ erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it eru
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Answer:

9670 feet

Step-by-step explanation:

The height given (8219.5 ft) is 85% OF ORIGINAL, hence original is much higher. But how do we figure this out?

we translate word problem to equation.

8219.5 IS 85% of TOTAL

Firstly, 85% = 85/100 = 0.85

Remember, is means =

of means multiplication

So we have:

8219.5 = 0.85 * Total

Hence, total = [let total be 7]

8219.5 = 0.85 * t

t = 8219.5/0.85 = 9670 feet

4 0
3 years ago
What is the answer 3x+15=8x
Art [367]

Answer:

3x +15 = 8x

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x = 3

Step-by-step explanation:

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3 years ago
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Mateo makes 6 loaves of banana bread. He sells 2/3 of the loves of bread at the bake sale. Which expression represents how many
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Answer: 6 * 2/3

Step-by-step explanation:

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3 years ago
Please someone help. Giving brainliest!!!!!! :)
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8 0
3 years ago
Solve the inequality <br> 5x+2 &lt; 32
AnnyKZ [126]

Answer:

x<6

Step-by-step explanation:

First, let's work on the left hand side of your inequality, the 5x+2

This means, for instance, to see if it can be simplified at all.

Multiply x and 5

Multiply x and 1

The x just gets copied along.

The answer is x

x

5*x evaluates to 5x

5*x+2 evaluates to 5x+2

So, all-in-all, the left hand side of your inequality can be written as: 5x+2

Now, let's work on the right hand side of your inequality, the 32

The right hand side of your inequality can be written as: 32

So with these (any) simplifications, the inequality we'll set out to solve is:

5x+2 ‹ 32

Move the 2 to the right hand side by subtracting 2 from both sides, like this:

From the left hand side:

2 - 2 = 0

The answer is 5x

From the right hand side:

32 - 2 = 30

The answer is 30

Now, the inequality reads:

5x ‹ 30

To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)

around the x on the left side of the inequality.

The last step is to divide both sides of the inequality by 5 like this:

To divide x by 1

The x just gets copied along in the numerator.

The answer is x

5x ÷ 5 = x

30 ÷ 5 = 6

The solution to your inequality is:

x ‹ 6

8 0
2 years ago
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