Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²
Answer:
the sign of the product of 15 negative numbers will be negative
Step-by-step explanation:
Heya mate!!
The product of odd numbers is odd and the product of even numbers is even.
so 15 is an odd number then the sign of product is odd
Hope this helps!!!
First you want to organize it from least to greatest: 4, 5, 5, <em>6, 10</em>, 11, 12, 13
Then look for the one in the middle. But oh wait there are 2 so you need to add 6 and 10 then divide it by 2 to get a median of 8.
A song I learned back then is this I don't know who it is by though: Mode, mode, mode is the most, Average is the mean.Median, median, median, median, The number in between.
