Answer:
3.61
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(0, 1) and (x₂, y₂ ) = C(3, 3)
= 
= 
= 
= 3.61 ( nearest hundredth )
If you want to remember the trig formulas, I suggest the “SOHCAHTOA” or the “Some old hippie caught another hippie tripping on acid method.” It combines all three principle formulas together. So, SOH means sine equals opposite over hypotenuse, and CAH means cosine equals adjacent over hypotenuse, and TOA means tangent equals opposite over adjacent.
Cosine equals adjacent/hypotenuse.
I believe the 2 is the largest
For this case, the area is given by:
A = x * (200-2x)
Rewriting:
A = 200x-2x ^ 2
Deriving the expression we have:
A '= 200-4x
Equaling zero we have:
200-4x = 0
We clear x:
4x = 200
x = 200/4
x = 50 feet
Then, the maximum area is:
A (50) = 50 * (200-2 * 50)
A (50) = 5000 feet ^ 2
Answer:
the maximum possible area that can be enclosed with his 200ft of fencing is:
A (50) = 5000 feet ^ 2
