<u>Part A </u>r =
units & h = 2 units:
<u>Step-by-step explanation:</u>
Here we have , cones A and B both have volume 48(3.14) cubic units but they have different dimensions. Cone A has radius 6 units and height 4 units. We need to find:
Part A
Find one possible radius and height for Cone B.
Since , volume of cone A and B are same so ,
Volume of cone A =
, Volume of cone V = 
By hit & trial , One possible radius and height for Cone B is r =
units & h = 2 units:
⇒ 
⇒ 
⇒ 
Part B
Explain how you know Cone B has the same volume as Cone A.
Volume of cone A =
:
Cone A has radius 6 units and height 4 units, So
⇒ 
⇒ 
⇒ 
Volume of cone V = 
⇒ 
⇒ 
⇒ 
Hence, Volume of both are same!
1600 children and 1400 adults attended
<h3>How to determine the number of adults?</h3>
Let the children be x and adult be y.
So, we have the following equations:
x + y = 3000
1.5x + 5y = 9400
Make x the subject in x + y = 3000
x = 3000 - y
Substitute x = 3000 - y in 1.5x + 5y = 9400
1.5(3000 - y) + 5y = 9400
Expand
4500 - 1.5y + 5y = 9400
Evaluate the like terms
3.5y = 4900
Divide both sides by 3.5
y = 1400
Substitute y = 1400 in x = 3000 - y
x = 3000 - 1400
Evaluate
x = 1600
Hence, 1600 children and 1400 adults attended
Read more about system of equations at:
brainly.com/question/14323743
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Answer:
12 muffins for $9.60
Step-by-step explanation:
Step-by-step explanation:
1. Ampltiude is 1
The period is

is the period
The phase shift is 0
2. The Ampltiude is 2
The period is 2 pi
The phase shift is 1
3. The amplitude is 3
The period is 2 pi/3
The phase shift is -2
4.The amplitude is 2/3
The period is -10pi
The phase shift is 0
5. The Ampltiude is 1
The period is -2 pi
The phase shift is pi
6. The amplitude is 1/4
The period is -4pi
The phase shift is negative 2pi/3
7. The Ampltiude is 3
The period is 4
The phase shift is 8