Answer:
80 ft²
Step-by-step explanation:
The area of the path is equal to the area of the overall square minus the area of the garden.
Area of a square is the side length squared:
A = s²
The overall square has a side length of 12 feet. The side length of the garden is 12 - 2 - 2 = 8 feet. So the area of the path is:
A = 12² - 8²
A = 144 - 64
A = 80
The area of the path is 80 ft².
The sum is 18.14 hope it helps
Answer:
15 to 40
Step-by-step explanation:
First, you would add the total number of cars and trucks together. Secondly, you would take the total, which is all the vehicles, and you would take 15, which is the number of cars, and put them together.
Sin^2(x) + cos^2(x) = 1
sin^2(x) = 1 - cos^2(x)
Replace sin^2(x) in the equation with 1 - cos^2(x)
2(1 - cos^2(x)) - 5cosx + 1 = 0
2 - 2cos^2(x) - 5cosx + 1 = 0
2cos^2(x) + 5cos x - 3 = 0
Let cosx = y
2y^2 + 5y - 3 = 0
(2y -1)(y + 3) = 0
y = cosx so:
cosx = ½,
cosx = -3 (gives no solutions since cos domain is -1 to 1)
Therefore x = pi/3, (2pi - pi/3) = 5/3pi
Answer:
x = 
Step-by-step explanation:
given
cos(x - 
) = - 1, then
x - = 
(- 1) = π
Add to both sides, hence
x = π + =
