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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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Simplify -5x(x - 3y)
jenyasd209 [6]
Start by distributing -5x into x then into -3y. So -5x times x equals -5x^2( -5x squared), then -5 times -3y, equals 15xy so your answer is -5x^2 + 15xy.
4 0
3 years ago
Legs and hypotenuse ​
zaharov [31]

Answer:

Step-by-step explanation:

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.

3 0
3 years ago
Mrs. Martini is 6 years more than 3 times as old as Tony. Eight years ago, she
zalisa [80]

Mrs Martini age is 42 years and Tony age is 12 years

Step-by-step explanation:

The given is:

  • Mrs. Martini is 6 years more than 3 times as old as Tony
  • Eight years ago, she  was 2 years less than 9 times as old as he was then

Assume that Tony is x years old now

∵ Mrs. Martini is 6 years more than 3 times as old as Tony

∵ Tony is x years old

- Multiply the age of Tony by 3 and add 6 to the product

∴ The age of Mrs Martini = 3 x + 6

8 years ago

- Subtract 8 from the age of each one

Tony age = (x - 8)

Mrs Martini age = (3 x + 6) - 8 = 3 x + 6 - 8 = 3 x - 2

∵ Eight years ago, Mrs Martini was 2 years less than 9 times as old

  as Tony was then

- Multiply Tony age by 9 and subtract 2 from the product

∵ Tony age from 8 years ago = x - 8

∵ Mrs Martini age from 8 years ago = 3 x - 2

∴ 9(x - 8) - 2 = 3 x - 2

- Simplify the left hand side

∴ 9 x - 72 - 2 = 3 x - 2

- Add like terms

∴ 9 x - 74 = 3 x - 2

- Subtract 3 x from both sides

∴ 6 x - 74 = -2

- Add 74 to both sides

∴ 6 x = 72

- Divide both sides by 6

∴ x = 12

∵ x represents the age of Tony

∴ Tony is 12 years old

∴ 3 x + 6 is the age of Mrs Martini

- Substitute x by 12

∵ 3(12) + 6 = 36 + 6 = 42

∴ Mrs Martini is 42 years old

Mrs Martini age is 42 years and Tony age is 12 years

Learn more:

You can learn more about word problems in brainly.com/question/10557938

#LearnwithBrainly

6 0
2 years ago
............°_°.............​
Rasek [7]

Answer:

3/4 and 0.95 would both result in a reduction.

Step-by-step explanation:

multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.

8 0
2 years ago
Read 2 more answers
What is the least common multiple of 37 and 12
emmasim [6.3K]
<span>To get the Least Common Multiple (LCM) of 37 and 12 we need to factor each value first and then we choose all the factors which appear in any column and multiply them: 

<span><span>37:      37</span><span>12:   223 </span><span>LCM:   22337</span></span>The Least Common Multiple (LCM) is:   2 x 2 x 3 x 37 = 444</span><span> </span>
4 0
2 years ago
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