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Leviafan [203]
2 years ago
10

Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters w

ould the center of the rail rise above the ground?
Mathematics
1 answer:
earnstyle [38]2 years ago
6 0

Answer:

Answer:  13.4 m

Step-by-step explanation:

For small angles, x, in radians,

tan(x) ≈ sin(x) = x

Use this to create an approximate diagram for the problem as shown in the figure below.

The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.

The extend length is 3 km + 12 cm, which is 

3000 + 0.12 = 3000.12 m

Half of the extended length is 1500.06 m

Let h+  the rise of the center of the rail above ground.

From the Pythagorean theorem, obtain

h² + 1500² = 1500.6²

h² = 1500.06² - 1500² = 180.004

h = 13.4 m, which is about 0.9% of the original length.

Read more on Brainly.com - brainly.com/question/5596356#readmore

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A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​
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9514 1404 393

Answer:

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Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

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Using the second equation, we can find L:

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  L = 7a -W

Substituting into the area formula gives the quadratic ...

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Then we have the two solutions ...

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The rectangle dimensions are 3a by 4a.

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Maria got 4 wrong.

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