Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².
π≈3.14
A. C=πd
Simply plug in the numbers into the formula.
Diameter=Radius*2
17*2=34
C=34(π)
B. (π)(5²)
Plug in the numbers into the formula. Remember that half of the diameter is the radius.
C. (π)(4.5)
There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.
The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.
D. (π)(6.5²)
Remember that the formula for calculating the area of a circle is πr².
Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.
(π)(6.5²)
Therefore, the last answer choice is the correct answer.
Answer:
(5, 7 )
Step-by-step explanation:
Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
here (x₁, y₁ ) = U(8, 9) and (x₂, y₂ ) = V(2, 5), thus
midpoint = [0.5(8 + 2), 0.5(9 + 5) ] = [0.5(10), 0.5(14) ] = (5, 7 )
Answer:
1) 
2) 
3) 
4) 40
5) 
Step-by-step explanation:
1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

4)
is a square of a sum, then, by definition you have:

Then:

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40
5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

Answer:
C. 1/4 lb of chicken per person
Step-by-step explanation:
Find the rate of change for the situation.
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
A. 9/17lb per person
B. 4 lb per person
C. 1/4 lb per person
D. 36 people
Solution
9 lbs of chicken for 36 people
Chicken per person = Total lbs of chicken / Total number of people
= 9 lbs / 36 people
Chicken per person = 1/4 lb of chicken per person
17 lbs of chicken for 68 people
Chicken per person = Total lbs of chicken / Total number of people
= 17 lbs / 68 people
= 1/4 lb of chicken
Chicken per person = 1/4 lb of chicken per person
Therefore, the rate of change of the situation = 1/4 lb of chicken per person