This is the equation you need to use: y = kx
So, let's put it this way:
y can be the total amount of money you spend (so $48), and x the number of people (6)
y=kx
48=k*6
k = 48/6
k = 8
The constant variation, and the price of one ticket is 8.
Formula
V = (1/3) pi * r^2 h
pi = 3.14
d = 3 cm. (very small)
r = d/2 = 3/2 = 1.5 cm
h = 7 cm
V= (1/3) 3.14 * 1.5^2 * 7
V = 1.04 * 1.5^2 * 7
V = 16.485 cm^3
L <<<<==== answer.
3.
4^3 is equal to 64. Therefor log4(64) must be equal to 3.
Looking at the figure, we can see that both triangles are right triangles. Therefore, we can apply pythagorean theorems. A right triangle contains a hypotenuse, which is the longest side. In the figure, that would be sides with length 4 and 12. The equation for this is:
c = √(^2 + b^2) , where c is the hypotenuse and a and b are the other shorter sides
To determine z:
4 = √(z^2 + 3^2)
z = 2.65
To determine x:
12 = √(x^2 + 6^2)
x = 10.39