Answer:
Part A:
The surface area of a cylinder is given by
A= 6πr² if h= 2r
Part B:
Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²
Cost of covering only the side = Rate *2πrh
Step-by-step explanation:
Part A:
The surface area of a cylinder is given by
A= 2πrh + 2πr²
Where h= height and radius = r
But we have the height twice as radius so h= 2r
So putting h= 2r we get
A= 2πr(2r) + 2πr²
A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²
Part B:
Cost = Rate * area of the wall + rate * area of the top and bottom
Cost = Rate *2πrh + rate*2πr²
Where area of the top and bottom= πr² +πr² =2 πr²
and area of the side = 2πrh
Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.
If you do not need to cover top and bottom then the expression would be
Cost of covering only the side = Rate *2πrh
Part C:
Already done above.
<h2>
Answer:</h2>
<u>Question 10:</u>
21.75 ÷ 30 = 0.725
Move the decimal backwards 2 times
72.5
<em>Answer: </em>72.5%
<u>Question 11:</u>
Sales: $768
Commission Rate: 4%
Commission: $30.72
768 x 4 = 3,072
3,072 ÷ 100 = 30.72
<em>Answer:</em> $30.72
<u>Question 12:</u>
Selling Price: $39.98
Tax Rate: 4.5%
Sales Tax: $1.80
39.98 x 4.5 = 179.91
179.91 ÷ 100 = 1.7991
Then you round to the thousandths.
1.799
1.8
<em>Answer:</em> $1.80
<u>Question 13:</u>
20% x 141 = 28.2
141 + 28.2 = 169.2
<em>Answer:</em> $28.20 gratuity is added to the bill.
Answer:
y=1
Step-by-step explanation:
ANSWER
EXPLANATION
We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].
The average rate of change of f(x) over the interval [a,b]:
If the average rate of change over the interval [3, 5] is 19, then;
From the to table f(5)=13
Euro tunnel : - 115 (115 m below sea level of 0)
-115 = S - 50
-115 + 50 = S
- 65 = S....the sea bed is -65 m (or 65 m below sea level
