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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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Arisa [49]

Answer:

C

Step-by-step explanation:

Under a reflection in the y- axis

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3 years ago
5) Derek was surfing through the internet for a good deal on t-shirts. Help Derek find the
AlladinOne [14]

Answer:

The first one

Step-by-step explanation:

To figure out which one is the best deal, for each one how much <em>one</em> t-shirt costs.

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Same thing as the last one, except since there are 4 t-shirts you divide $39 by 4.

1 t-shirt = 39/4 = $9.75

<u>Third deal:</u>

5 t-shirts for $49.95

This time you will divide 49.95 by 5.

1 t-shirt = 49.95/5 = $9.99

The last step is to compare the three deals, and since you are trying to find the one that costs the <em>least</em> you can see that the first deal is the best one, because $9.65 per shirt is cheaper than $9.75 and $9.99

5 0
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How do the expressions 8+k2−6 and 8(k+2)−4k compare when k = 7?
Andreas93 [3]

Answer:

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Step-by-step explanation:

8+7×2-6 and 8(7+2)-4×7

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6 and 44

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Help..................
elena-14-01-66 [18.8K]
Triangle has 180 degrees:
180=2m-3+m+4+3m+5
Combine like terms
180 = 6m+6
Subtract 6 from 180
174=6m
Divide by 6
m=29

Brainliest if that helped, please :)
5 0
2 years ago
Read 2 more answers
1 1/4mi = ft, can someone explain this to me
skelet666 [1.2K]
First off, we'll convert the mixed fraction to "improper" and check about, keeping in mind that, there are 5280 feet in 1mile.

\bf \stackrel{mixed}{1\frac{1}{4}~mi}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}~mi}\\\\&#10;-------------------------------

\bf \begin{array}{ccll}&#10;feet&miles\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;5280&1\\&#10;f&\frac{5}{4}&#10;\end{array}\implies \cfrac{5280}{f}=\cfrac{1}{\quad \frac{5}{4}\quad }\implies \cfrac{5280}{f}=\cfrac{\frac{1}{1}}{\quad \frac{5}{4}\quad }&#10;\\\\\\&#10;\cfrac{5280}{f}=\cfrac{1}{1}\cdot \cfrac{4}{5}\implies \cfrac{5280}{f}=\cfrac{4}{5}\implies \cfrac{5280\cdot 5}{4}=f\implies 6600=f
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3 years ago
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