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Svetach [21]
4 years ago
5

A rectangular field, bounded on one side by a building, is to be fenced in on the other three sides. if 3000 feet of fence is to

be used, find the dimensions
Mathematics
1 answer:
NARA [144]4 years ago
5 0
The question is missing the detail, it is to find the dimensions of the largest field that can be fenced in.
The formula for area is : A = xy
The perimeter of the fencing is equal to the sum of two widths and the length: 2x + y = 3000
Now, solve the second equation: y = 3000 – 2x
When you plug this expression to the formula for the area, we will get:
A = x (3000-2x) = 3000x – 2x^2
Next take the derivative and equal it to 0: dA/dx = 3000 – 4x = 0
Now solve for x, it will give us 750.
Find the second derivative.
d^2 A / dx^2 = -4
since we have a negative result, x = 75- is a maximum. Then plug this in to x:
3000 – 2 (750) = 1500. The largest field will measure 750 ft by 1500 ft. 
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\sqrt{865} feet

Step-by-step explanation:

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6 0
3 years ago
1.How do you solve an area of a triangle by the base and height?
aleksandrvk [35]
1. ANSWER: You can solve an area of a triangle by the base and height by using the formula: A=1/2*b*h, where A= Area, b= base, and h=height.
2. ANSWER: First, use the formula: A=1/*b*h. Then substitute those variables to get A=1/2*15.25*18. Then, solve to find the area. 15.25*18=274.5. 1/2*274.5=137.25. 
Therefore, the answer is Area=137.25 inches squared!
I HOPE THIS HELPED YOU!!!!


3 0
4 years ago
If M (6,8) is the midpoint of line segment AB, and if A has coordinates (2,3) , find the coordinates of B.
sveticcg [70]
Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
8 0
3 years ago
Lanny bought 1 4 pounds of rice that costs $0.40 per pound. How much does lanny pay for the rice ?
lesya692 [45]

Answer:

The answer is $5.60

Step-by-step explanation:

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