Answer:
Paulo will need to mow at least 31 lawns to reach his goal of $2115.00.
Step-by-step explanation:
1. This is an inequality problem. The solution for this problem will involve creating in inequality to solve for the answer. To create an inequality, it is important to keep your information organized concisely.
Total = $2115.00
Lawn = $70.00
x = Amount of Lawns
2. From this information, the inequality can be formed.
70x 
2115
3. Using the order of operations, solve the inequality.
x 2215/70
x 30.21
4. The minimum number of lawns Paulo needs to mow is 31 lawns to meet his goal of $2115.00.
Answer: The shaded area is 99.55 units squared.
Step-by-step explanation:
r = 3.2
Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:
L = 2*(2*3.2) = 12.8
The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.
the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:
A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.
And now we must subtract the area of the four smaller circles inside the square, the area of each one is:
A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.
Then the shaded area is:
A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.
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