Answer:
Step-by-step explanation:
The formula for determining the slope of a ramp is expressed as
Slope = rise/run
The first ramp has the rise of 5 feet and run of 12 feet. This means that the slope of the first ramp is
Slope = 5/12 = 0.417
The second has the rise of 6 feet and the run of 3 feet. This means that the slope of the second ramp is
Slope = 6/3 = 2
The lower the run, the steeper the slope. This means that the second ramp is steeper than the first ramp.
This can be confirmed by calculating the angle formed by each ramp. To determine the angle formed by the ramp with the horizontal, we would apply we would apply
the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Considering the first ramp,
Tan θ = 5/12 = 0.417
θ = Tan^-1(0.417)
θ = 22.6°
Considering the second ramp,
Tan θ = 6/3 = 2
θ = Tan^-1(2)
θ = 63.4°
The second ramp forms a greater angle. Thus, it is steeper.
Answer:
a. 1 hour and 32 minutes b. 8:07
Step-by-step explanation:
a.8:34-7:02
b. 9 minutes +1 hour and 32 minutes+12 minutes=1.53 hours before 10=8:07
Answer with Step-by-step explanation:
Since we have given that
Some students in my class use e-mail.
It is a type of 'E' statements.
Its negation should be No students in my class use e-mail.
Because if we use "Some students in my class do not use e-mail”.
It also implies some students in my class still use e-mail.
But negation contains only opposite of given statement.
So, Some students in my class do not use e-mail” is not true.
Answer:
55 gallons
Step-by-step explanation:
Given that the diameter of the cylindrical barrel is 22 inches, so the radius of the barrel is 
And height of the cylindrical barrel is 33.5 inches.
So the volume of oil in the cylindrical barrel is
Also given that there are 231 cubic inches in a liquid gallon, so to find the number of gallons of oil in barrel, we use unitary method.
231 cubic inches goes in = 1 gallon
1 cubic inches will go in 
