1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeu [11.5K]
3 years ago
7

Suppose a railroad rail is 3 kilometers and it expands on a hot day by 12 centimeters in length. Approximately how many meters w

ould the center of the rail rise above the​ ground

Mathematics
1 answer:
inysia [295]3 years ago
8 0
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.

Answer:  13.4 m

You might be interested in
Write an equation in standard form for the line that contains the given pair of points.
wel

Answer:

x = 3

Step-by-step explanation:

6 0
2 years ago
Select all of the number that round to 4.3 when rounded to the nearest tenth
faltersainse [42]

Answer:

4.29-4.28-4.27-4.26-4.25

Step-by-step explanation:

6 0
3 years ago
Helllllllllpppp !!!!!!!!
AURORKA [14]
O = x, h=15 angle = 23
sin 23 = o/h
sin 23 x 15 = x
x=5.9 --> C
4 0
3 years ago
Which names are other correct names for GP <br><br> choose all answers that are correct
REY [17]
-->
GN

and 

-->
GY

I'm just doing this to fill up the required characters cool I think I'm good now.
5 0
3 years ago
Solve.<br><br> 6 divided by 2(1 + 2) =<br><br> Ok goodluck please tell me the answer :)
dalvyx [7]

Answer:

9

Step-by-step explanation:

Based on the order of operations, this would be 3 times 3, which is 9 I think.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Can u guys help pls?
    7·1 answer
  • Order of operations 10-7(3+2)7^2
    13·2 answers
  • A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find
    5·2 answers
  • Please help i always get this wrong
    7·1 answer
  • What is 3.4/2.24 equal to? The four possible answers are 340/224, 34/224, 34/2.24, and 3.4/224 which one is correct
    13·1 answer
  • Turk varmi arkaadadlaaar
    6·1 answer
  • What direction will this object accelerate? Please give me an explanation as well I will be marking brainiest (NO LINKS)
    6·2 answers
  • Can someone please help mee.
    15·1 answer
  • 4. For what event must theoretical probability be determined to solve this problem?
    7·1 answer
  • By paying $50 cash up front and the balance at $35 a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!