I added 12+5(2) and got 22. Since 12 was how many shots she made on the first day and she makes 2 more shots than the previous day I did 5x2 which is 10 and add them up it makes 22:)
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
Answer:
Step-by-step explanation:
r = Radius of semicircle = 
Area of semicircle is given by
The area of the semicircle is 
.
The answer is going to be 2*sqrt(5). You have to split it into perfect squares for it to be simplified... so in this case, I had sqrt(4*5) because sqrt(4) can be simplified... so your answer would be sqrt(4)*sqrt(5) or 2sqrt(5)
Flour: 2 3/4 cups = 11/4
11/4 * 2 = 22/4 = 5 2/4 cups
Sugar: 1 1/2 cups = 3/2
3/2 = 6/4 = 1 2/4 cups
1 2/4 * 2 = 3 cups
So it *should* be 8 1/2 cups.
