The answer is 5.13 in²
Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
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Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in
Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in
Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²
Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²
Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 = 5.13 in²
Answer:
The E. Coli will grow at a rate of approximately 800% an hour.
Answer:
B. $5.08
Step-by-step explanation:
First find out how much the supermarket pays per dozen of eggs.
$8.00 / 12 dozen cartons per case = $0.66666
It costs the supermarket approximately $0.67 per dozen
Next find out the profit per dozen of eggs sold
$1.09 store price - $0.67 price store pays = $0.42
The supermarket profits about $0.42 per dozen sold
Finally find out the profit per case of eggs
12 dozen cartons * $0.42 profit per carton = $5.04
The supermarket makes about $5.04 per case so the best answer of the choices would be B. $5.08.
