Answer:15.808
Step-by-step explanation:
you just multiply no need to line up the decimal points tho
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:
Perimeter of square Q is 49 inches.
Step-by-step explanation:
Let x be the length of side of square P and y be that of square Q.
It is given in the question that :
Also it is given that x=3.5 inches.Hence
∴ y=12.25 inches.
Perimeter of square Q is 4y = 
inches.
<u>Solve for x:</u>
Add 4.3x on both sides so that the variable can be on one side.
9.6x - 15.4 = -4.3x + 26.3
+4.3x +4.3x
Add 15.4 on both sides so that the whole number stays on one side separate from the variable.
13.9x - 15.4 = 26.3
+15.4 +15.4
Divide both sides by 13.9.
13.9x = 41.7
------- -----
13.9 13.9
Now you get a solution of:
x = 3
<u>Check:</u>
9.6(3) - 15.4 = -4.3(3) + 26.3
28.8 - 15.4 = -12.9 + 26.3
13.4 = 13.4
