Answer:
201.1 meters squared
Step-by-step explanation:
A= pi*r squared
Diameter= 16, to find the radius we must divide by 2
16/2=8
Radius= 8
A= pi* (8)^2
A= 201.06
The area of the circle is 201.1 meters squared.

Expanding the left side gives

which gives two solutions,

and

. But if

, then

, but this number isn't real, so

is an extraneous solution. Meanwhile if

, you get

, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
Answer:
x = 67
y = 23.5
Step-by-step explanation:
Sum of angles in a triangle is supplementary,
x + 90 + 23 = 180
x + 113 = 180
x = 180 - 113
x = 67
y = ?
180 - 67 / 2
= 133 / 2
= 66.5
y + 66.5 = 90
y = 90 - 66.5
y = 23.5
Answer:
225
Step-by-step explanation:
We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:

Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.