Answer: 9 tilapia
Step-by-step explanation:
The ratio of 6:20 for tilapia to catfish means that for every six tilapia, there are 20 catfish in the pond.
If there are 30 catfish, use direct proportion to find out the number of tilapia:
6 : 20
x : 30
Cross multiply:
20x = 180
x = 180 / 20
x = 9 tilapia
If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:
8x + 4 = 10x - 6
Solving for x:
4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)
So, x = 5, which is the second option given.
The surface area of the cylinder is 18.84 square feet
<h3>How to determine the surface area?</h3>
The given parameters are
Height, h = 2 ft
Diameter, d = 2 ft
The radius (r) is half of the diameter (d)
This is calculated as:
Radius = Diameter/2
So, we have:
r = d/2
Substitute 2 for d
r = 2/2
Evaluate the quotient i.e. divide 2 by 1
r = 1
The surface area is then calculated using the following formula
A = 2πr² + 2πrh
Substitute the given values in the above equation
So, we have:
A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2
Evaluate the exponents
A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2
Evaluate the products
A = 6.28 + 12.56
Evaluate the sum
A = 18.84
Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet
Read more about surface area at:
brainly.com/question/2835293
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The total amount of her savings 12,058.78