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 probability of winning is 4/13.
These two events are not mutually exclusive; this means they can happen at the same time. For two events that are not mutually exclusive,
P(A or B) = P(A) + P(B) - P(A and B)
This gives us
P(spades or Ace) = P(spades) + P(Ace) - P(spades and Ace)
There are 13 spades out of 52 cards.
There are 4 aces out of 52 cards.
There is 1 card that is a spade and an ace out of 52 cards.
13/52 + 4/52 - 1/52 = 16/52 = 4/13
Answer: C ≈ 94.25 in
Step-by-step explanation:
Answer:
Step-by-step explanation:
7x + 3 = 3x + 35
4x + 3 = 35
4x = 32
x = 8
You would set up the problem like this: 3n-25=38
To solve for n:
3n-25=38
+25 +25 (Add 25 to both sides)
3n=63
/3 /3 (Divide by 3 on both sides)
n=21
The answer is 21.
