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.
5x- 3/2x= -4 -7/2
10/2 x - 3/2x= -8/2 -7/2
7/2x= -15/2
7x= -15
x= -15/7
Answer:
three consecutive numbers that add up to 84 are 27,28 and 29
Step-by-step explanation:
27+28=55
55+29-=84
For this case what we should do is take into account the following vectors:
We must find the following subtraction of vectors:
Subtracting component to component we have:
By writing we have:
Then the module of the resulting vector is given by:
Rewriting we have:
Answer:
The module of the resulting vector is given by:
option B
