And whats the rest of the question
Problema Solution
You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?
Answer provided by our tutors
Make a drawing and denote:
x = half of the length of the enclosure
2x = the length of the enclosure
y = the width of the enclosure
P = 800 ft the perimeter
The perimeter of the two enclosures can be expressed P = 4x + 2y thus
4x + 3y = 800
Solving for y:
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y = 800/3 - 4x/3
The area of the two enclosure is A = 2xy.
Substituting y = 800/3 - 4x/3 in A = 2xy we get
A = 2x(800/3 - 4x/3)
A =1600x/3 - 8x^2/3
We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum:
x max = -b/2a, a = (-8/3), b = 1600/3
x max = (-1600/3)/(2*(-8/3))
x max = 100 ft
y = 800/3 - 4*100/3
y = 133.33 ft
2x = 2*100
2x = 200 ft
It would be 120.
Look at the first column, 40. It’s basically multiplication and you can just use a calculator.
For example, 40 x 1 = 40,
And if you looks the second column, it’s being multiplied by 2. Which would be 40 x 2, you just have to multiply 3 x 40 which is 120.
Sorry for my english
Answer:
x = 2
Step-by-step explanation:
The formula for finding a volume of a cone is
V=πr^2h(1/3)
Plug in the values the have given you and solve.
3.14(7)^2(3)(1/3)
approx. 153.86 cubic ft.
