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bixtya [17]
4 years ago
11

Giving Brainliest

Mathematics
1 answer:
Komok [63]4 years ago
6 0

The dimensions of the region which enclose the maximal area will be:  Length = 162 feet and Width = 108 feet.

Explanation

According to the below diagram, the total rectangular area is divided into two separate regions by a vertical segment.

Suppose, the length and width of the rectangular area are  L and W respectively.

So, the length of that vertical segment will be equal to the width, W.

If the four walls of the rectangular area and the vertical segment are made up of fencing, then the total fence required  feet.

Given that, the farmer has 648 feet of fencing. So, the equation will be .....

Now, the area of the rectangular area:  

Substituting equation (1) into equation (2) , we will get ......

Taking derivative on the both sides of the above equation with respect to W, we will get ......

Now, A will be maximum when. So....

Plugging this  into equation (1) ........

So, the dimensions of the region which enclose the maximal area will be:  Length = 162 feet and Width = 108 feet.

Step-by-step explanation:

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mamaluj [8]
What's your question?
7 0
3 years ago
Which of the following equations matches the graph above?
Brilliant_brown [7]

Option C:

The equation which matches the graph above is y = 4x - 4.

Solution:

Take any two points on the graph of the line.

Let the points are (0, -4) and (1, 0).

Here, x_1=0, y_1=-4, x_2=1, y_2=0

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{0-(-4)}{1-0}

$m=\frac{4}{1}

m = 4

y-intercept of the line is the point where the line crosses at y-axis.

Here, the line crosses at y-axis is (0, -4).

y-intercept, (c) = -4

Equation of a line is

y = mx + c

y = 4x + (-4)

y = 4x - 4

The equation which matches the graph above is y = 4x - 4.

Option C is the correct answer.

3 0
3 years ago
3
solong [7]

Answer:0.2 gallons and 1.6 pints

Step-by-step explanation:

1 gallon = 8 pint

1 gallon / 5=0.2 gallon

8 pint / 5=1.6 pint

6 0
2 years ago
Can 403/72 be reduced?
tresset_1 [31]

Answer:

yes but it would be an incomplete fraction

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Match each mathematical expression with its simplified form.<br> (2 +9+4)<br> (3 + 1 + 4 + 8)
katen-ka-za [31]

Answer:

15 and 16

Step-by-step explanation:   To get simplified form, you add the numbers in parentheses together. (2+9+4)= 15 and (3+1+4+8)=16

For problem 1. 2+9=11  11+4=15

For problem 2. 3+1=4    4+4=8   8+8=16

Hopefully this helped, and please add me as brainliest.

8 0
3 years ago
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