Step-by-step explanation:
Old Railroad Car:
- 1 day of coal in 15 hours
- 1/15 days of coal in 1 hour
New Railroad Car:
- 1 day of coal in 10 hours
- 1/10 days of coal in 1 hour
Total number of days of coal in 1 hour
= 1/15 + 1/10 = 1/6.
Since there is 1/6 days of coal in 1 hour,
there will be 1 day of coal in 6 hours.
It will take them 6 hours to transport the supply.
It would be 100. If you divide 100/10, you get 10, multiply that by 9 and you’d get 90.
Answer:
The maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.
Step-by-step explanation:
A histogram is a bar graph reprinting the frequency of various categories.
In a histogram the <em>y</em>-axis represents the frequency and the <em>x</em>-axis represents the categories.
Consider the histogram provided for the number of miles driven by a sample of automobiles in New York City.
The <em>y</em>-axis represents the frequency and the <em>x</em>-axis represents the number of miles driven.
The category 10,000 miles has the highest frequency at 30.
And the maximum possible number of miles traveled by an automobile is 40,000 miles.
Thus, the maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.
Answer:
AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49 meters
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <u><em>this must be a concave pentagon.</em></u>
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE: c² = 110² + 50² c=√14600 AE = 120.830 m
DE: c² = 100² + 110² c = √22100 DE = 148.661 m
Add those lengths and the remaining sides of the 140m × 150m rectangle to calculate the perimeter.
280+150+120.83+148.66= 699.49