A city is considering building a commuter train. The steepest section of track has a fall of 72.8 feet for a horizontal distance of 280 feet. What is the grade of this section of track?
The downgrade of this section of track as a reduced fraction is?
Converted the fraction to a percent.
72.8/280 = 13/50 = 0.26
pretty steep, since a 6% grade on a highway is considered a steep hill.
What is the value of the rational expression below when x is equal to 4? (x+20/x+4)
To find the grade of this section of track, we need to calculate the ratio of the vertical change (fall) to the horizontal distance. The grade or slope is typically expressed as a percentage.
1. Calculate the ratio of the fall to the horizontal distance:
Grade = Fall / Horizontal distance
Grade = 72.8 feet / 280 feet
2. Simplify the fraction (if possible):
Grade = 0.26 (approximately)
3. Convert the fraction to a percentage:
Grade percentage = 0.26 * 100
Grade percentage = 26%
Therefore, the grade of this section of track is approximately 0.26 or 26%.
To find the grade of this section of track, we can use the formula:
Grade = (Fall / Horizontal Distance) * 100
First, let's calculate the grade of the section of track:
Grade = (72.8 feet / 280 feet) * 100
Grade = 0.26 * 100
Therefore, the grade of this section of track is 26%.
To find the reduced fraction of the grade, we need to simplify it. We can divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 26 and 100 is 2. So, let's divide by 2:
Grade = 26 / 2 / 100 / 2
Grade = 13 / 50
Therefore, the reduced fraction of the grade is 13/50.
To convert the fraction to a percent, we can multiply it by 100:
Percent = (13 / 50) * 100
Percent = 26%
So, the reduced fraction of the grade is 13/50, and when expressed as a percent, it is 26%.