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Airida [17]
3 years ago
12

Suppose a railroad rail is 5 kilometers and it expands on a hot day by 20 centimeters in length. How many meters would the cente

r raise above the ground?
Mathematics
2 answers:
frutty [35]3 years ago
7 0
4 centimeters.... you're welcome
lesya692 [45]3 years ago
3 0
The length of the railroad is 1km and it expands 10cm. To solve this problem, you have to create a right triangle. You can do this by cutting everything in half. Your hypotenuse will be 1/2km + 5cm, one of the legs will be 1/2km. To make everything simple, I converted everything into meters. So you will have 500m + .05m as the hypotenuse and 500m as one of the legs. Use the Pythagorean theorem to solve for the other leg. Do not round your answer. My teacher emailed me a hint to answering the question. She cahnged everything to meters.

use Pythagoras theorem to solve for the other leg. that is your answer. Your teacher spelled it out for you.
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Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

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Average = \frac{x + y}{2}

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Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

x + y = 0.70x * 2

x + y = 1.40x

Collect like terms

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Make x the subject

x = \frac{y}{0.40}

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So, the average is:

Average = (1 - 30\%) * x

Average = (1 - 30\%) * 2.50y

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Rewrite as:

Average =(1 + 0.75)y

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