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.
The distance between pine bluff and river city is approx. 535.1 miles ( i had to search this up because without that information you cant find out your scale). 535.1 miles is 2 825 328 feet (or 535.1 X 5 280, because there are 5280 feet in a mile), and 2 825 328 feet is <span>33 903 936 inches (or 2 825 328 X 12, because there are 12 inches in a foot). Now if you take 33 903 936, and divide it by 6, which was how many inches were shown on your map, you get </span><span>5 650 656. and so, the scale on your map is 1:5 650 656, or for every 1 inch on your map, there are 5 650 656 inches in real life.</span>
Answer:
x+ x+1 + x+2 = 30
3x+3 =30
Step-by-step explanation:
Let x be the smallest integer
x+1 be the next smallest
x+2 be the third
x+ x+1 + x+2 = 30
Combine like terms
3x+3 =30
A^2 + 31 = 155 - I squared each of b and c for those numbers
a^2 = 155 - 31
a^2 = 124
a = 4 * sqrt(31)
Answer:
slope = 6
Step-by-step explanation:
formula is y = 6x - 3
6/1 or 6 is the slope