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amid [387]
3 years ago
15

Suppose a railroad rail is 3 kilometers and it expands on a hot day by 18 centimeters in length. Approximately how many meters w

ould the center of the rail rise above the​ ground?
Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

  16.43 meters

Step-by-step explanation:

If the shape of the rise is a triangle, then the center of it is half the total length from the end. We can find the rise (y) using the Pythagorean theorem:

  1500.09² = 1500² +y² . . . . .dimensions in meters

  270.0081 = y²

  y = √270.0081 ≈ 16.43 . . . . meters

About the most it would rise is 16.43 meters.

___

If the shape is an arc of a circle, the height is about 14.2 meters.

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Suppose the population of a certain city is 5893 thousand. It is expected to decrease to 5218 thousand in 50 years. Find the per
leonid [27]

Answer:

% Decrease = 11.45%

Step-by-step explanation:

Original Population = 5893

Expected Population = 5218

% Decrease = Original Population - Expected Population / Original population

% Decrease = (5893 - 5218 ) / 5893

% Decrease = 675/5893

% Decrease = 0.11454268

% Decrease = 11.454268%

% Decrease = 11.45% approximately.

6 0
3 years ago
Can someone help me with all this?? i really dont get it ​
olga nikolaevna [1]

Answer:

A=78

B=102

C=78

Step-by-step explanation:

A= a and 102 are on a straight line so they add up to 180. 180-102=78. The same goes for C

B= the vertical angle for 102, or the same thing with a and c, just flipped around

8 0
2 years ago
Choose the pair(s) of integers that can be substituted into the equation ax2 - 6x + c = 0 so that it has two real solutions.
Maksim231197 [3]

The options are not provided, but method is stated below

Answer:

Quadratic equation ax2 - 6x + c = 0

options would be given for a and c

  1. substitute a and c
  2. check for Discriminant
  3.  b^2 - 4ac \geq  0
  4. 36 -4ac \geq 0

These conditions will fetch us the result required among the options.

Note : the \geq sign will give us the result for Two real unequal solutions and two real equal solutions.  If we only need Real unequal solutions we only use > sign instead of \geq

4 0
2 years ago
The figure below shows the dimensions of an arrow painted on the pavement of a parking lot. The entire length of the arrow is 6.
GarryVolchara [31]

Answer:

62.5 I think

Step-by-step explanation:

3 0
3 years ago
8. Terry, a plumber, worked 9 months out of the year. What percent of the year
Burka [1]

Answer:

25%

Step-by-step explanation:

9/12 = 3/4

1/4 (the months he wasn't working) = 25%

3 0
2 years ago
Read 2 more answers
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