The length of one side is 5
Slope = Vertical rise / Horizontal run
Slope = 2 / 36
Slope = 1/18
Slope ≈ 0.0556
Imagine you covered the outer part of the wheel with paint. Then you rolled the wheel one complete revolution. The paint on the wheel would transfer to the flat ground making a straight line. The length of this straight line is exactly equal to the distance around the circle (aka circumference)
Let's find the circumference
C = 2*pi*r
C = 2*pi*14
C = 28pi
The distance around the circle is exactly 28pi inches.
If we use pi = 3.14, which is an approximation of pi, then that approximates to 28*pi = 28*3.14 = 87.92
So one revolution corresponds to traveling 87.92 inches approximately
We want to travel 440 inches. The question is: how many revolutions do we need to go in order to achieve this goal?
Let k = number of revolutions needed to travel 440 inches
1 revolution = 87.92 inches traveled
k revolutions = k*87.92 inches traveled
Set the expressions k*87.92 and 440 equal to each other and solve
k*87.92 = 440
k*87.92/87.92 = 440/87.92
k = 5.0045495 ... this is approximate
So it takes about 5 revolutions to travel 440 inches. We'll need a bit over 5 to make sure we get to 440.
Final Answer: Choice B) 5 rotations
Answer:
2.35
Step-by-step explanation:
divide by 1000
Answer:
A student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes because when you simplify both fractions to per minute, the student who ran 3/4 mile in 6 minutes (1/8 mile per min) ran faster than the student who ran 1/2 mile in 5 minutes (1/10mile in 1 min).
Step-by-step explanation:
divided by 6 to get per min =
1/8 mile per min
