They are parallel to each other
Answer:
The diameter was
in.
Step-by-step explanation:
The arc of a circle is given by

where
s = arc length
r = radius of the circle
θ = measure of the central angle in radians.
From the information given
s = 4 in
θ = 32º
To find the diameter of the original pizza, we use the formula of the diameter of a circle

First, we need to convert the angle to radians

Next, solve for r from the arc formula

Then, we use the diameter of a circle formula

Price of boots is represented as x, price of tennis shoes is represented as y.
x-y=44.38
x+y=196.12
Isolate x. (Or y, if you wanted to)
x=y+44.38
x=196.12-y
Set them equal to each other.
y+44.38=196.12-y
Solve for y. Then plug it in to either of the two original equations to find x.
x=120.24
y=75.86
Note: This is assuming that the boots are more expensive than the tennis shoes. If the tennis shoes are more expensive than the boots, then the prices would be switched. I didn't find this clear in your question.
Step-by-step explanation:
A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.
A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.
The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.