Answer:
The maximum area is ![900\ ft^{2}](https://tex.z-dn.net/?f=900%5C%20ft%5E%7B2%7D%20)
Step-by-step explanation:
Let
x----> the length of rectangle
y---> the width of rectangle
we know that
The perimeter of rectangle is equal to
![P=2(x+y)](https://tex.z-dn.net/?f=P%3D2%28x%2By%29)
we have
![P=120\ ft](https://tex.z-dn.net/?f=P%3D120%5C%20ft)
so
![120=2(x+y)](https://tex.z-dn.net/?f=120%3D2%28x%2By%29)
![60=(x+y)](https://tex.z-dn.net/?f=60%3D%28x%2By%29)
------> equation A
Remember that
The area of rectangle is equal to
-----> equation B
substitute equation A in equation B
![A=x(60-x)](https://tex.z-dn.net/?f=A%3Dx%2860-x%29)
This is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex of the graph is the maximum area of the garden and the x-coordinate is the length for the maximum area
using a graphing tool
The vertex is the point ![(30,900)](https://tex.z-dn.net/?f=%2830%2C900%29)
see the attached figure
Find the value of y
-----> ![y=60-30=30\ ft](https://tex.z-dn.net/?f=y%3D60-30%3D30%5C%20ft)
The dimensions of the rectangular garden is
by ![30\ ft](https://tex.z-dn.net/?f=30%5C%20ft)
For a maximum area the garden is a square
The maximum area is ![900\ ft^{2}](https://tex.z-dn.net/?f=900%5C%20ft%5E%7B2%7D%20)
Answer:
1 should be 13/52, 2 should be 4/15
Answer:
Step-by-step explanation:
You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.7. With water it will die with probability 0.4. You are 86 % certain the neighbor will remember to water the plant.
Prob for plant dying with water = prob that he waters but plant dies
= 0.86*0.4
= 0.344
Prob for plant dying without water = prob that he does not water and the plant dies
= (1-0.86)*0.7
= 0.098
Answer: 12:55 is the answer
Step-by-step explanation:
dont delete this brainly
Answer: 3 1/8
Step-by-step explanation: 8 goes into 25 3 times leaving 1/8 left so it would be 3 1/8.