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 ball will strike the ground at time t = 21sec .
Answer:
Option A. 65 trees
Step-by-step explanation:
From the question given:
50 trees was in the forest. Then 23 of them were cut down.
The remaining trees = 50 — 23 = 27 trees.
Now 38 new trees were plant.
Total trees after cutting and planting = 27 + 38 = 65 trees
Answer:
y = 15x + 20
Step-by-step explanation:
He charges a flat rate of $20, so any total for hours worked will have an additional $20 added to it.
The 15x represents his earnings per hour. He makes 15 per every hour worked, x represents the number of hours worked
12. I’m sorry I’m horrible at word problems
13. C
14. C
