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 single dice has 6 sides, so, getting a number less than 3, would put it into fraction form. That would be 2/10.
Step-by-step explanation:
Yes, the Property of Equality works for Multiplication
Explanation:
4x+3y=37
y=x-4
4x+3(x-4)=37
4x+3x-12=37
add 12 to both sides
7x=49
x=7
Now you use plug in x
4(7)+3y=37
28+3y=37
subtract 28 to both sides
3y=9
y=3
answer: x=7 and y=3