9514 1404 393
Answer:
26.67 feet
Step-by-step explanation:
The arc length is given by the formula ...
s = rθ . . . . . . where r is the radius and θ is the angle in radians
Here, the angle is 360° -225° = 135° = 3π/4 radians
Filling in the known information, we have ...
20π = r(3π/4)
r = 80/3 . . . . . divide by the coefficient of r
r ≈ 26.67 . . . . feet
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.
Answer:
If the number is x, we can write the following equation:
2 + 10x = 2
10x = 0 so therefore, x must be 0. There is no other number that satisfies this property.
9/2+5/78
9/2+47/8
83/8
10 3/8
decimal form 10.375.
hope this helps!
We have such system of eq

First lets solve second eq
7x=21 /:7 divide both sides by 7
x=3
Now we can substitute it to first equation
9x-2y=19
9*3-2y=19
27-2y=19 /-27 subtract 27 both sides
-2y=-8 /:(-2) divide both sides by -2
y=4 - its the answer