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Ksivusya [100]
3 years ago
15

Same question for this. Actually need help... ;-;​

Mathematics
1 answer:
Bess [88]3 years ago
7 0
372 is the answer.
(9*6*3)+(10*7*3)=372
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A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.
Margarita [4]

Answer:

Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

Let w represent width and l represent length of the pen.

We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be 4w+3l.

We can set our given information in an equation 4w+3l=300.

The area of the two pens would be A=2l\cdot w.

From perimeter equation, we will get:

w=\frac{300-3l}{4}

Substituting this value in area equation, we will get:

A=2l\cdot (\frac{300-3l}{4})

Since we need to maximize area, so we need to find derivative of area function as:

A=\frac{600l-6l^2}{4}

Bring out the constant:

A=\frac{1}{4}*\frac{d}{dl}(600l-6l^2)

A=\frac{1}{4}*(600-12l)

A=150-3l

Now, we will set our derivative equal to 0 as:

150-3l=0

150=3l

\frac{150}{3}=\frac{3l}{3}

50=l

Now, we will substitute l=50 in equation w=\frac{300-3l}{4} to solve for width as:

w=\frac{300-3(50)}{4}

w=\frac{300-150}{4}

w=\frac{150}{4}

w=37.5

Therefore, width of 37.5 feet and length of 50 feet will maximize the area.

8 0
3 years ago
What is the sum of 8/11 and 1/2?
bonufazy [111]

Answer:

17/22

Step-by-step explanation:

8/11+1/2=16/22+11/22=17/22

4 0
2 years ago
Read 2 more answers
Find the vertex of y=-x^2+6x-12
Debora [2.8K]
You find the x coordinates using x = -b/2a  = -6/2(-1) = 3

Substitute 3 in the equation and find y

y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3

Vertex (3,-3)
8 0
3 years ago
In a model of a ship,the mast is 9cm high,while the mast of the actual ship is 12m high.if the length of the ship is 28m,how lon
grandymaker [24]

Answer:

21cm

Step by step:

Scale : 9cm :12m

Therefore 1m = 9/12 cm

28m= 9/12 *28 = <u>21 cm</u>

7 0
3 years ago
What is 90x10 free brainlest and points
ss7ja [257]

Answer:

900

Step-by-step explanation:

  • 90 * 10
  • 900
8 0
2 years ago
Read 2 more answers
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