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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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One number is equal to the square of another. Find the numbers if both are positive and their sum is 306.​
Oduvanchick [21]

Answer: 17 or -18

Step-by-step explanation:

x^2+x=306

x^2+x-306=0

(x-17)(x+18)=0

x-17=0

x=17

x+18=0

x=-18

..i think this is the right answer

8 0
3 years ago
1 MINUTE!!!
iris [78.8K]

Answer:

About 9.38

Step-by-step explanation:

Since the \sqrt{88} is between the \sqrt{81} and the \sqrt{100} which simplified is 9 and 10, you just need to guess and check. Eventually you'll get about 9.38 (I used Google cause I was lazy) And if it isn't between the numbers 9 & 10, it's wrong.

6 0
3 years ago
Read 2 more answers
I need help with c. maybe b if i got it wrong too.
Pepsi [2]
Sent the solution and how I solved it.

4 0
3 years ago
What is the range and domain of the function p(t)=-8t+100
Aleks [24]

Answer:

Real numbers for both

Step-by-step explanation:

The domain of a function is the set of values that the unknown t can adopt. For this function, t can be any real number as there are no restrictions for the t. Ir can be any positive number, 0, negative numbers, fractions, irrational numbers, whatever number you like.

The range of a function is the values that p(t) adopt when we replace the t value with any number. Here, again, it range is all real numbers. If you want p(t) to be positive it is possible, negative is possible, 0 is possible, and so on. If you like, you can verify it by replacing the numbers you like.

Something to know is that linear polynomial functions ALWAYS have their domains and ranges in real numbers.

5 0
2 years ago
To decrease an amount by 20%, what do you multiply by?
klemol [59]
An entire amount is 100%.
If you decrease it by 20%, you end up with 80% of the entire amount.
To find 80% of an amount, multiply the amount by 0.8

Answer: multiply by 0.8
4 0
3 years ago
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