Mathematics: The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%. Between station A and station B, which are 270 ft apart, the tracks rise 8 and one half ft. What is the grade of the tracks between these two stations? Round the answer to the nearest tenth of a percent. Does this grade meet the rapid-transit rail standards?

The maximum grade allowed between two stations

darnellgee298

18.01.2022

Part a) The grade is 3.2%

Part b) This grade meet the rapid-transit rail standard

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem we have

$rise=8\frac{1}{2}\ ft=\frac{8*2+1}{2}=\frac{17}{2}\ ft$

$run=270\ ft$

$\frac{rise}{run}=\frac{17}{2}:270=0.0315$

convert to percentage

$0.0315*100=3.15\%$

Round to the nearest tenth of a percent

$3.2\%$

$3.2\% < 3.5\%$

therefore

This grade meet the rapid-transit rail standard

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1940swannabe

29.06.2022

The radius is half the length of the diameter.

The circumference is the perimeter of a circle.

To find the circumference, multiply Pi by the diameter.

Step-by-step explanation:

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