Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
Answer:
309in²
Step-by-step explanation:
Area of an octagon is expressed as;
A=2(1+√2)a²
a is the side length of the octagon
Given
a = 8
Substitute into the formula
A = 2(1+√2)(8)²
A = 2(1+√2)(64)
Expand
A = 2(64+64√2)
A = 128+128√2
A = 128+128(1.414)
A = 128+181.01
A = 309in²
Hence the area of the octagon is 309in²
Answer:
x ≈ 1.28
Step-by-step explanation:
I just took the exam:
Area of rectangle =(3x-1)(x+6), Area of circle = PI(x+1)^2. If you graph these and find where they intersect, you will get x ≈ 1.28.
I hope this helped! :)
Answer:
f(g(x)) = x^2 + 27.
Step-by-step explanation:
To find f(g(x)) we replace the x in f(x) by g(x) and simplify:
f(g(x)) = 7(x^2 + 2) + 13
= 7x^2 + 14 + 13.
= 7x^2 + 27.
So for each hour the price increases $5.15
so 4 hours = 23.95
5 hours = 23.95 + 5.15 = 29.10
6 hours = 29.10 + 5.15 = 34.25
