We are to solve for the value of the altitude of the given cylinder which has a radius of 5 feet and a lateral area of 70pi ft². To solve this we should recall that the formula in solving the lateral area of a cylinder is Lateral Area = 2pi*r*h. The solution is shown below:
r is equal to 5 ft
lateral area = 70pi
Solving for h, we have:
70pi = 2pi*5*h
70pi / 2pi = 5h
35 = 5h
divide both sides by 5, we have:
35/5 = 5h/5
7 = h
The answer for the length of the altitude is 7 feet.
Answer: OPTION C.
Step-by-step explanation:
1. To solve this problem you must apply the Pythagorean Theorem, which is shown below:
Where a is the hypotenuse, and b and c are the legs of the triangle.
2. When you solve for one of the legs and substitute values, you obtain that the result is:
Answer:
$7,596.43
Step-by-step explanation:
The cost of the college tuition is increasing 5% compounded annually for 5 years.
∴ A = P(1 + r%)ⁿ
where A = tuition fee after 5 years.
P = current tuition
r = rate of increase
n = period
A = $5,952(1 + 5%)⁵
= $5,952(1 + 0.05)⁵
= $5,952 × 1.05⁵
= $7,596.43
=
Answer:
11 years
Step-by-step explanation:
14 divide 2=7
7 divide 2=3.5
3.5 divide 2 = 175 subtract 1 extra year to turn to 200. So the answer is 11.
Food A has fewer calories per serving.
I found this by taking the first food (A) and dividing 150 by 3. This gave me 50, which I added onto 150 to give me my 4/4 of a serving (200 calories).
With food B, I did the same process. I took 250/2 and added that to the original amount to get the final third of the serving, which resulted in food B being 375 calories.
