Answer:
625 ft^2
Step-by-step explanation:
Given
--- perimeter
Required
The largest area
The perimeter is calculated as:
![P = 2 * ( L + W)](https://tex.z-dn.net/?f=P%20%3D%202%20%2A%20%28%20L%20%2B%20W%29)
So, we have:
![2 * ( L + W) = 100](https://tex.z-dn.net/?f=2%20%2A%20%28%20L%20%2B%20W%29%20%3D%20100)
Divide both sides by 2
![L + W = 50](https://tex.z-dn.net/?f=L%20%2B%20W%20%20%3D%2050)
Make L the subject
![L = 50 - W](https://tex.z-dn.net/?f=L%20%3D%2050%20-%20W)
The area is calculated as:
![A= L * W](https://tex.z-dn.net/?f=A%3D%20L%20%2A%20W)
Substitute ![L = 50 - W](https://tex.z-dn.net/?f=L%20%3D%2050%20-%20W)
![A= (50 - W) * W](https://tex.z-dn.net/?f=A%3D%20%2850%20-%20W%29%20%2A%20W)
Open bracket
![A = 50W - W^2](https://tex.z-dn.net/?f=A%20%3D%2050W%20-%20W%5E2)
Differentiate with respect to W
![A' = 50 -2W](https://tex.z-dn.net/?f=A%27%20%3D%2050%20-2W)
Set to 0; to get the maximum value of W
![50 - 2W = 0](https://tex.z-dn.net/?f=50%20-%202W%20%3D%200)
Collect like terms
![-2W = -50](https://tex.z-dn.net/?f=-2W%20%3D%20-50)
Divide by -2
![W = 25](https://tex.z-dn.net/?f=W%20%3D%2025)
So, the maximum area is:
![A = 50W - W^2](https://tex.z-dn.net/?f=A%20%3D%2050W%20-%20W%5E2)
![A = 50 * 25 - 25^2](https://tex.z-dn.net/?f=A%20%3D%2050%20%2A%2025%20-%2025%5E2)
![A = 1250 - 625](https://tex.z-dn.net/?f=A%20%3D%201250%20-%20625)
![A = 625](https://tex.z-dn.net/?f=A%20%3D%20625)
Answer:
The probability that the selected adult has liver problems is 0.08
Step-by-step explanation:
In this question, from the data given, we want to calculate the probability that an adult selected at random has liver problems.
Let E(L) be the event that an adult has liver problems.
The probability is directly obtainable from the question and it is given as 8%
Thus, the probability that the selected adult has liver problems; P(L) = 8% = 8/100 = 0.08
Hello,
<span>SA = s^2 + 2 × s × l
Base = 4
SA= 4^2 + 2 x 4 x l
SA= 16 + 2 x 4 x l
SA= 16 + 8 x l
Simplified, the surface area of a square pyramid with a base of 4 and an </span>unknown length/height (l) is SA= 16 + 8 x l.
Faith xoxo
Answer:
If there are any rational roots, it would be a factor of your constant term (9) divided by a factor of the high-order coefficient (12).
39 because you have to subtract six 6 times so 6*6=36 so 75-36=39