Answer:
Wheel1 = 147inches , wheel 2 = 113inches
Wheel 1 will travel 147 revolutions.
Step-by-step explanation:
Finding the circumference of both wheels
Wheel 1 = 2 pi r = 2 × 3.142 × 23.4 = 147.05 inches. To the nearest inches = 147inches
Wheel 2 = 2 pi × r = 2 × 3.142 × 18 = 113.11inches . To the nearest inches = 113inches.
I rotation = 1 revolution
In 1 rotation, wheel 1 will travel= 147 × 1 = 147 revolutions.
Answer:
a. 25%
b. 55%
c. 35%
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Substitute in y= equation into 2nd equation to start.
(2,5)
Answer: choice A. 40 liters
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Explanation:
x = number of liters of the 50% alcohol solution
If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).
So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below
0.50*x + 36 = 0.70*(40+x)
0.50*x + 36 = 0.70*(40)+0.70*(x)
0.50*x + 36 = 28+0.70*x
36 - 28 = 0.70*x - 0.50x
8 = 0.20x
0.20x = 8
x = 8/0.20
x = 40
So that is why the answer is choice A. 40 liters
Answer:
A. 5.19 units
Step-by-step explanation:
Given:
= 81°- Arc length = 7.34 units
Substituting given values into the equation and solving for r:
