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Drupady [299]
3 years ago
12

Need help please anyone ???

Mathematics
1 answer:
Vesna [10]3 years ago
6 0

Answer:

7.93×10⁶

Step-by-step explanation:

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
3 years ago
Find the solution set of the inequality<br>4x - 1&lt;11.<br>​
Nikitich [7]

Answer:

x<3

Step-by-step explanation:

4x-1<11

4x<11+1

4x<12

divide by 4 each side

x<3

7 0
3 years ago
Read 2 more answers
In how many ways can you arrange the books A, B, C, and D on a bookshelf if books A and C must remain neighboring?
e-lub [12.9K]
I believe the answer is 4
5 0
3 years ago
A store sells tea cups in sets of 9 and saucers in sets of 12. The store sold the same number of individual cups and saucers in
BlackZzzverrR [31]

The first five multiples of 9 are 9 18 27 36 45 I hope that's what you mean.

The prime factors of 9 and 12 are

9: 3 * 3

12: 3 * 2 * 2

The LCM is 3*3*2*2 is 36

The store sold 4 sets of cups ans 3 sets saucers. Answer

6 0
3 years ago
2) PLS HELP ASAP!!!
Oksi-84 [34.3K]

Answer:

Last one:  Symmetric with respect to the y-axis

Step-by-step explanation:

About the Y-AXIS

because  think about using a few points  x = -2, x = -1 , x = 1, x = 2

notice that  2*(-2)^4  =  2 *(2)^4

and 2*(-1)^4 = 2*(1)^4

8 0
3 years ago
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