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Bess [88]
3 years ago
11

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric

fence. With 700 m of wire at your​ disposal, what is the largest area you can​ enclose, and what are its​ dimensions?
Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

dimension are 350 m and 350 m  and

area is 122500 m²

Step-by-step explanation:

Given data

perimeter is 700 m

to find out

the largest area and its​ dimensions

solution

we consider x and y are the sides

so area is xy

perimeter is 2x+ y = 700

so we can say y = 700 -2x

so area will be = x (700 - 2x)

area = 700x - 2x²

we take derivative here and equal to zero

dA/dt = 700x - 2x²

700 - 4x = 0

x = 700/4

x = 175

so will be

y = 700 -2x

y = 700 -2(175)

y = 350

so dimension are 350 m and 350m

area is 122500 m²

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It is estimated that there are 828 motor vehicles in the US it is estimated that there are 828 Motor vehicles in the US for ever
coldgirl [10]

Answer:

314 million

Step-by-step explanation:

Given that :

Number of motor vehicle in the U.S for every 1000 people = 828

If the number of motor vehicle in the United States = 260 million

Then,

Let x = number of people Given number of vehicles = 260,000,000

1000 people = 828 vehicles

x = 260,000,000

828x = (260,000,000 * 1000)

828x = 260,000,000,000

x = 314009661. 835

x = 314 million (approx)

8 0
3 years ago
Find the area for a triangle that has a base of 24 inches and a height of 4 inches.
Evgen [1.6K]
To find the area of an object you have to knoe what the base and the hieght.
okay so me know that the base=24 in
and we know that the hieght=4
now all you have to do is multiply 24 by 4
and your answer will be 96
7 0
3 years ago
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The ratio of 10 to pencil is 2/7 if you count 84 pencil how many pain would you expect to find
frosja888 [35]
How much pain would you find?   hopefully none, since you'd have lots of pens and pencils :).

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Which function is the inverse of f(x)=x^2-25
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f(x) = y= x^2-25

Now we switch x and y and solve for y .

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Therefore, inverse is

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3 years ago
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