Answer:
Length of Arc = 4
Step-by-step explanation:
Circumference is the whole circle's perimeter.
Arc length is a "part" of the circumference.
Whole circle is 360 degrees, so the arc length with a central angle of 72 degrees will be:
72/360 = 1/5th of the whole circle
The whole circle has circumference of "20", so 1/5 th of that would be:
(1/5) * 20 = 4
Length of Arc = 4
We need to find the function value of floor function
Floor function comes under integer functions. we have floor and ceiling function.
Ceiling function gives the least integer value greater than or equal to x.
Floor function gives the greatest integer values less than or equal to x.
For example Celing(3.8) = 4
floor (3.8)= 3
Like that floor f(-0.75) = -1
greatest integer value less than -0.75 is -1
Perimeter = 300
Area = a(w)
Width = w
Perimeter = 300 and width = w ⇒ length = [300 - 2w ]/2 = 150 - w
Area, A = width * length = w(150-w) = 150w -w^2
Roots = w = 0 and w =150
Vertex
w =[0 + 150]/2 = 75
A = 75(150-75) = 75^2 = 5625
(75,5625)
Given that the coefficient of w^2 is negative, the vertex is the maximum of the function or area.
The second coordinate of the vertex (5625) is the maximum area the fence can enclose.
Answer: the maximum area that can be enclosed by the fencing.
Hope this helps!
The correct answer would be C.