Given:
8 tiles
radius from the center of the archway to the inner edge of the tile. 7 ft.
radius from the center of the archway to the outer edge of the tile. 8 ft = 7 ft + 1 ft.
Area of a semi circle = π r² / 2
A = (3.14 * (7ft)²) / 2 = (3.14 * 49ft²) / 2 = 153.86 ft² / 2 = 76.93 ft²
A = (3.14 * (8ft)²) / 2 = (3.14 * 64ft²) / 2 = 200.96 ft² / 2 = 100.48 ft²
100.48 ft² - 76.93 ft² = 23.55 ft²
23.55 ft² / 8 tiles = 2.94 ft² per tile.
Answer:

Step-by-step explanation:
Given that

Here


We know that
M dx + N dy=0 will be exact if

So


it means that this is a exact equation.

Noe by integrating above equation

Given that
x= 0 then y= 1

C=4
So the our final equation will be

Answer:
D
Step-by-step explanation:
If we divide 5 by 6 we'll come up with 8.333 repeating. It is necessary that we round to three decimal places since we have an endless amount of digits that can only be represented with 3 digits
Answer:
w=3
Step-by-step explanation:
3w= 9
divide 3 on both sides
3/3 = 9/3
3/3 cancels out
9/3 = 3
9(400 + 70 + 5). Distribute the nine to all the numbers in parentheses. 3600 + 630 + 45 = 4,275. 9 * 475 =4,275