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attashe74 [19]
3 years ago
6

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 f

ence. With 400 m. of wire at your disposal what is the largest area that you can enclose, and what are its dimensions? Use the convention that length is longer than the width.
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0
<span>2x+y=400 A=xy area of farmland y=400-2x A=400x-2x^2 A'(x)= 400 -4x derivative of area with respect to x 0=400-4x find out where f ' equals 0 4x=400 x=100 A'(x)= 400 -4x A''(x)= -4 check 2nd derivative. if negative then relative max at x=100 2x+y=400 y=200 dimensions 100x200 hope it helped</span>
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Answer:

D. 12, 15, 25

Step-by-step explanation:

The triangle leg rule states that the smaller two lengths must add up to be greater than the largest length.

This means that the first two values must add up to be greater than the final value.

12 + 15 = 27

27 > 25

So, your answer is D

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3 years ago
Find the third, fourth, and fifth terms of the sequence defined by
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By the recursive definition,

a_3=2a_2-a_1=2\cdot9-4=14

a_4=2a_3-a_2=2\cdot14-9=19

a_5=2a_4-a_3=2\cdot19-14=24

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Nostrana [21]

Answer:

x>1.16

Step-by-step explanation:

Subtract 5 from each side to get 4x>14-8x

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than add 8x to both sides

12x > 14

which would mean that x has to be greater than 1.16

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3 years ago
Emma has a board 5 feet long and cuts it into 6 equal pieces how long in feet is eacgpeace if the board in a fraction
il63 [147K]

Answer:

Imagine an easier version of this problem:  You have a board 5 feet long that you must cut (divide, right?) into two equal parts.  It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.

We do not ordinarily divide feet into decimal portions, but instead into inches.  Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths?  or 5/6 = n/12  Solve this by inspection or by cross multiplying 5 times 12 equals n times 6.  So n must equal 10, and your pieces of board are each 10 inches long.

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2 years ago
I need help, sleps plzz , i dont understand plzzz dont ignoree!!!!!!!!!!!!
denpristay [2]

Answer:

x = \frac{3+\sqrt{105} }{8}  , \frac{3-\sqrt{105} }{8}  x=1.655,-0.905

Step-by-step explanation:

3x+6 = 4x^2

4x^2 -3x -6 = 0

x = \frac{3+\sqrt{105} }{8}  , \frac{3-\sqrt{105} }{8}  x=1.655,-0.905

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3 years ago
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