Answer:
Step-by-step explanation:
Discussion
If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.
Formula
Arc Length = (120/360) * 2 * pi * r Substitute values into this equation.
Givens
Central angle = 120
r = 9.5
Solution
Arc Length = (120/360) * 2 * 3.14 * 9.5
Arc Length = (0.333) * 2 * 3.14 * 9.5
Arc Length = 19.87 cm
V = pi * r^2 * h
.22 = 3.14 * r^2 * .84
.22 = 2.6 r^2
divide both sides by 2.6
.08 = r^2
r = .3 the radius is approximately .3 m
CHECK
V = 3.14 * .3^2 * .84
V = .24 m^3
Answer: 15 hours and 10 minutes
Hope this helps!
The pattern is you add 2 for each number... That's A :)
Let child admissions be x and adult admissions be y. We can then use the information given to form a system of equations and solve that system.
The first equation is based on the information about the money made.
5.50x+8.60y=726.40
The second equation is based on the fact that twice as many adult tickets as child tickets were sold.
y = 2x
Since we have an equation equal to one of the variables, substitution will be the easiest way to solve this system. This is when we replace the variable of an equation with its value in the other.
5.50x+8.60y=726.40
5.50x+8.60(2x)=726.40
5.50x+17.2x = 726.40
22.7x = 726.40
x = 32
The number of children tickets sold was 32.
Extra:
To find the number of adult tickets can be found by plugging in the known value we found and solving for the other unknown.
y = 2x
y = 2(32)
y = 64
The number of adult tickets sold was 64.
