What movie is this from

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

2 years ago

Help!!<br><br> which expression is equivalent to (m^5 n /pq^2) ^4

lana66690 [7]

$\text{Use:}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{nm}\\\\......................................................\\\\\left(\dfrac{m^5n}{pq^2}\right)^4=\dfrac{(m^5n)^4}{(pq^2)^4}=\dfrac{(m^5)^4n^4}{p^4(q^2)^4}=\dfrac{m^{20}n^4}{p^4q^8}$

8 0

2 years ago

Thrush us a landscape architect. For his first public project he is asked a small scale drawing of a garden to be placed in the

ehidna [41]

Answer:

Therefore, on the graph;

The height = 7.5 units

And base = 5.0 units

Attached is an image for further information;

Step-by-step explanation:

Given that;

1 unit on the grid represent 2m of the garden;

Ratio = 1/2 unit/m

For the height;

height h = 15m

On the graph;

h = 15m × 1/2 unit/m

h = 7.5 units

For the base;

Base b = 10m

On the graph;

b = 10m × 1/2 unit/m

b = 5 units

Therefore, on the graph;

The height = 7.5 units

And base = 5.0 units

6 0

2 years ago

Ella swims four times a week at her clubs pool. She swims the same number of laps on Monday,Wednesday,Friday,and 15 laps on Satu

Reika [66]

She swims 12 laps on Monday.

Step-by-step explanation:

Total laps = 51 laps

Laps on Saturday = 15 laps

Let,

x be the number of laps on Monday, Wednesday and Friday each.

According to given statement;

Monday+Wednesday+Friday+Saturday = 51

$x+x+x+15=51\\3x=51-15\\3x=36$

Dividing both sides by 3

$\frac{3x}{3}=\frac{36}{3}\\x=12$

She swims 12 laps on Monday.

Keywords: addition, division

Learn more about division at:

#LearnwithBrainly

7 0

2 years ago

What is the distance between R(–3, 1) and S(4, 5)?<br><br> Round to the nearest tenth.

Fed [463]

The answer is (-7,4)

$\binom{ - 3}{1} - \binom{4}{5} = \binom{ - 7}{4}$

good luck

3 0

3 years ago