35.2 ounces is 1/5 of the popcorn
so 35.2 x 5 = 176
1 pound = 16 ounces
176÷16=11
The movie theater made 11 pounds of popcorn
When we divide the figure in four parts, we obtain four squares with its sides of 5 centimeters of lenght, with quarter circles (two) in each one of them. The limits of the shadded area are arcs of cirncunference
To calculate the area of the shadded part, we must choose one square of 5cmx5cm and divide it in 3 sectors:
a: the area below the shaded area.
b: the area above the shaded area.
c: the shaded area.
The area of the square (As) is:
As=L²
As=(5 cm)²
As=25 cm²
The area of a circunference is: A=πR² (R:radio), but we want the area of the quarter circle, so we must use A=1/4(πR²), to calculate the area of the sectors a+c:
A(a+c)=1/4(π(5)²)
A(a+c)=25π/4
The area of the sector "b" is:
Ab=As-A(a+c)
Ab=25-25π/4
Ab=25(1-π/4)
The area of the sector a+b, is:
A(a+b)=2Ab
A(a+b)=2x25(1-π/4)
A(a+b)=50(1-π/4)
Then, the shadded area (Sector c) is:
Ac=As-A(a+b)
Ac=25-50(1-π/4)
Ac=25-(50-50π/4)
Ac=25-50+50π/4
Ac=(50π/4)-25
Ac=(25π/2)-25
Ac=25(π/2-1)
The area of each shaded part is: 25(π/2-1)
To calculate the perimeter of a shaded part, we must remember that the perimeter of a circunference is: P=2πR. If we want the perimeter of a quarter circle we must use: P= 2πR/4. But there is two quarter circles in the square of 5cmx5cm, so the perimeter of the shaded area is:
P=2(2πR/4)
P=4πR/4
P=πR
P=5π
The perimeter of each shaded part is: 5π
1+1+1+1+11+1+1+1+1+1+1+1+1-1-1-1
20?
Answer:
D
Step-by-step explanation:
Use the distributive property to multiply both x and 5 by -2:
-2(x + 5) = -2x - 10
Based on the calculation below, the balance on Neela's statement is $153.
<h3>How do we calculate the balance on a bank statement?</h3>
The balance on Neela's statement can be calculated using the following formula:
Balance on statement = Actual amount in the account - Monthly fee - Overdraft protection fee - Check written + Amount transferred ............ (1)
Substituting all the relevant values into equation (1), we have:
Balance on statement = $256 - $8 - $33 - $312 + $250
Balance on statement = $153
Learn more about bank statement balance here: brainly.com/question/13837329.
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