Answer:
The minimum width of the placemat is 10 inches.
Step-by-step explanation:
Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:
Where:
- Width of the placemat, measured in inches.
- Diameter of pizza, measured in inches.
The area of the pizza, measured in square inches, is determined by this formula:
The diameter is cleared afterwards:
If 
and 
, then:
The minimum width of the placemat is 10 inches.
Y= -75x +1725
y= -75(20) +1725
y = -1500 + 1725
y= 225 = range
225= -75x +1725
225 - 1725= -75x
-1500=-75x
-1500/-75 = -75x/-75
x = 20 = domain
Break up the shape into two so you have:
A rectangular prism dimensions 4x2x5
A rectangular prism dimensions 5x3x14
Now you can find the volume of each:
4·3·5 = 60
5·3·14 = 210
Add the two volumes up to get the volume of the composite figure:
210 + 60 = 270
The distance between -5 and -10 is 5. the distance between 2 and 4 is 2
Answer:
Step-by-step explanation:
The sum of a triangle's interior angles is 180
. From the figure, we can see that one of the angles is a right angle. The remaining two are x and y. By adding these together, we can equate their sum with 180.
x+y+90=180b
Using the equation found in part A and the given equation, we can form a system of equations.
