For this case what we must do is use the law of cosines.
We then have the following equation:

Where,
a, b: sides of the triangle
x: angle between sides a and b.
Substituting values we have:

Clearing the value of c we have:
Answer:
An expression that is equivalent to how many feet the oak trees are from each other is:
Answer:
1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64
2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21
Step-by-step explanation:
1. Maximize: P = 4x +4y
Subject to: 2x + y ≤ 20
x + 2y ≤ 16
x, y ≥ 0
Plot the constraints and the objective function Z, or P=4x+4y)
Push the objective function to the limit permitted by the feasible region to find the maximum.
Answer: Objective function is a maximum at (16,0),
Z = 4x+4y = 4(16) + 4(0) = 64
2. Maximize P = 3x + 2y
Subject to x + y ≤ 8
2x + y ≤ 13
x ≥ 0, y ≥ 0
Plot the constraints and the objective function Z, or P=3x+2y.
Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.
Answer: Objective function is at a maximum at (5,3),
Z = 3x+2y = 3(5)+2(3) = 21
Answer:
-3
Step-by-step explanation:
The graph goes down 3 for each one on the x-axis
Answer: 1:1
Step-by-step explanation:
Let r be the radius and h be the height of a cylinder.
Formula: Curved surface area of cylinder = 
Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be 
Now, new surface area = 
Ratio of curved surface areas : 
Hence, the ratios of their surface areas = 1:1 .