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Leviafan [203]
3 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]3 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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PLZ HELP ASAP! WILL GIVE BRAINLIEST AND 30 POINTS!!
Elis [28]
ANSWER
Group A

Step by step explanation
I am bad at explaining things
If we want to find The group with the youngest age , we have to find the mean. The mean , means that we add up all the numbers ( the age) ,then divide them with how much number you added . For example, we add the age of group A 9+10+10+10+10+10+10+10+15+15+15+15+15+15+15+15+17+17+17+17+17+17+17+17+19+19+19+19+19+19=449
Than Count how many people are in group A , group A have 30 people that the number you will be dividing
So 449 divided by 30 is 14.966
That the average

The same go for group B
10+10+10+10+10+10+14+14+14+14+14+18+18+18+18+18+18+25+25+25+25+25+28+28+28+28+29+29+29+29=519

There 30 peoples in group B
519 divided by 30 is 19.7
So the Average of groupB is 19.7

Group a is 14.9 and group B is 19.7
Group A average is smaller than Group B that means ,The average of Group A is younger than Group B so the answer will be group a

Group A is the younger Group then group B

3 0
3 years ago
What is the range of the function f(x) = |x + 4| + 2?
storchak [24]

\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}

<h3>Given:</h3>

▪ \longrightarrow \sf{f(x) = |x + 4| + 2}

You need to remember that the form of an Absolute Value Function is:

•<em> </em><em>For the vertex:</em>

\small\longrightarrow \sf{H= \:  \: x -coordinate}

\small\longrightarrow \sf{K= y-coordinate}

• <em>For the</em> definition:

If "a" is positive (+) , then the range of the function is:

\small\longrightarrow \sf{R:y \:   \underline >  \:  k}

If "a" is negative (-), the range of the function is:

\small\longrightarrow \sf{R: y  \: \underline  <  \: k}

In this case we can identify that:

\small\longrightarrow \sf{a = 1}

\small\longrightarrow\sf{a = 2}

\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}

\large \bm{R: {f(x)  \in ℝ | f(x)   \underline >   2}}

4 0
2 years ago
How many solutions exist for the given equation?
ryzh [129]

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

4 0
3 years ago
Read 2 more answers
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Alexus [3.1K]

Answer:

4:7

16:28

020:35

020 is meant to look hard, but it just equals 20

5 0
3 years ago
What is the value in the figure above?​
Elan Coil [88]
Answer: i can’t read it could try upload it again

Explanation: Henlo :3
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