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maria [59]
3 years ago
14

onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calcula

te the maximum area that he can fence​
Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

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one hose can fill a goldfish pond in 14 minutes, and the two hoses can fill the same pond in 10 minutes, find how long it takes
likoan [24]

Answer:

35

Step-by-step explanation:

\frac{1}{14} +\frac{1}{t} =\frac{1}{10}

Solving this ^^ would equal t=35.

4 0
3 years ago
The length of a rectangle is 3 times the width. If the perimeter is to be greater than 56 meter. What are the lossible values fo
lidiya [134]

Answer:

w > 7

Step-by-step explanation:

L = 3w

2L + 2w > 56

sub for L

2(3w) + 2w > 56

6w + 2w > 56

8w > 56

w > 7


Check: L = 3(8)

L = 24

2(24) + 2(8) > 56

48 + 16 > 56

64 > 56

7 0
3 years ago
Read 2 more answers
A leprechaun places a magic penny under a​ girl's pillow. The next night there are 2 magic pennies under her pillow. Each night
11Alexandr11 [23.1K]

Answer:

  • tn = 2097152 pennies
  • tn = 20971.52 dollars.

Step-by-step explanation:

A surprisingly large amount of money.

The question is "Does the amount of money just double or do the previous amounts add to the present amount?"

I think it just doubles. Not only that, but she can't spend any of it until night 22 is reached.

  • tn = a*2^(n - 1)
  • a = 1   She starts with 1 penny.
  • n = 22
  • tn = 1*2^(22 - 1)
  • tn = 1*2^21
  • tn = 2097152 pennies
  • tn = 20971.52 dollars.
8 0
3 years ago
WILL GIVE BRAINLIEST NEED HELP ASAP THANK YOU <3
AleksandrR [38]

Answer: C.

Step-by-step explanation:

C. Without a table or graph, you  might forget what an equation represents.

Hope this helps!!! Good luck!!! :)

3 0
2 years ago
Can u help me. where do u plot it. what is x and what is y
goldenfox [79]

Answer:

Step-by-step explanation:

for the first equation x= -2 and y=-7

the second equation x=3 and y is 3 now just plot x and y from the same equation on the same line

7 0
3 years ago
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