The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width. Hence:
There is 48 feet of fencing:
x + 2y = 48
x = 48 - 2y (1)
The area (A) is:
A = xy = y(48 - 2y)
A = 48y - 2y²
The maximum area is at A' = 0, hence:
48 - 4y = 0
y = 12
x = 48 - 2(12) = 24
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
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Answer:
19/25.
Step-by-step explanation:
The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.
Possible ways to get sum of 12 or more =
4,8 5,7 5,8 6,6 6,7 6,8 = 6 ways.
So the number of ways to get sum of < 12 = 25 - 6 = 19.
So the required probability = 19/25.
- 16:10
- 24:15
- 40:25
8:5 is just a simplier version of these other ratios
Answer:
m=6
Step-by-step explanation:
For this figure to be a parallelogram, the sides must be the same length
4m+2 = 3m+8
Subtract 3m from each side
4m+2-3m = 3m+8-3m
m+2 =8
Subtract 2 from each side
m+2-2 =8-2
m=6