A farmer has 3000 feet of fencing to use on a new enclosure. The new enclosure will go up against existing fencing so one side does not need additional fencing. If the farmer wants to subdivide the enclosure to have 3 pens, what is the maximum total area the farmer can enclose?

Answers

Answer 1

Answer:

375000 ft^2

Step-by-step explanation:

From the statement that we have that it would be 1 time the length and 2 times the width because one side is not necessary and also we must take into account that it would be divided by 3 equal enclosures therefore we will use 1000 feet (3000/3) so Therefore, the perimeter would be equal to:

1000 = l + 2 * w

we solve for w:

l = 1000 - 2 * w

Also the area is equal to:

A = w * l

replacing:

A = w * (1000 - 2 * w)

A = 1000 * w - 2 * w ^ 2

We derive:

A '= 1000 - 4 * w

Let's equal 0:

1000 - 4 * w = 0

w = 1000/4

w = 250

replacing and we calculate l:

l = 1000 - 2 * 250

l = 500

A = 250 * 500

A = 15,000 ft ^ 2

Which means that for each subdivision the maximum area would be 125000 square feet and the total would be:

125000 * 3 = 375000 ft ^ 2


Related Questions


PLEASE HELP! WILL MARK BRAINLIST!!!

Find the volume of the sphere. Either enter an exact answer in terms of π or use 22/7 for pi. (radius is 1/2)

Answers

Answer:

1/6π units³ or 11/21 units³

Step-by-step explanation:

V = 4/3 πr³

r= 1/2

V= 4/3π* (1/2)³= 1/6π

or

V= 1/6 *22/7= 11/21

Answer:

1/6

Step-by-step explanation:

Find the product of 3/8 and reciprocal of - 5/11​

Answers

[tex]reciprocal \: of \: \frac{ - 5}{11} \: is \frac{ - 11}{5} \\ product \: of \: \frac{ - 11}{5} \times \frac{3}{8} = \frac{ - 33}{40} \\ hope \: it \: helped \: [/tex]

hope it helps you if it does please mark me as brainliest :-)

express 0.0043216 in standard form​

Answers

Answer:4.3216*10^-3

Step-by-step explanation:

Answer:

4.3216*10^(-3)

Step-by-step explanation:

Moving the decimal point 3 places to the right results in 4.3216*10^(-3), which is in standard form.

PLZ HELP I'VE BEEN STUCK FOR A LONG TIME PLZ HELP
(c-d)/5 - 2 = 0
c-6d=0
Given the equations, what is the value of c/d?
PLZ HELP WILL MARK BRAINLIEST

Answers

Answer:

c/d = 6

Step-by-step explanation:

Use the second equation.

c - 6d = 0

Add 6d to both sides.

c = 6d

Divide both sides by d.

c/d = 6

Which set of properties describes a square?

Answers

Answer:a parallelogram with one right vertex angle and two adjacent equal sides. a quadrilateral with four equal sides and four right angles. a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.

Step-by-step explanation:

classify the following triangle check all that apply

A.Isosceles
B.Scalene
C.Right
D.Obtuse
E.Acute
F.Equilateral​

Answers

Answer:

c.Right

Step-by-step explanation:

because of the 90 degrees it shows that it is 90 degrees

Answer:

B. scalene

C. right

Step-by-step explanation:

El triple de la cuarta parte de un número es 18. ¿Cuál es este número?

a)24
b)72
c)48
d)12
e)6

Answers

Answer:

e) 6

Step-by-step explanation:

18 divided by 3 equals 6

What is 9/2 in a percentage

Answers

Answer:

450%

Step-by-step explanation:

Answer:

450%

Step-by-step explanation:

5 (2 x +1)-2=6x+5
Can someone help solve this

Answers

x= 1/2 or 0.5
hope this helps
Exact form is x=11/2
Decimal form x=5.5
Mixed number form x=5(1/2

Simplify this expression. (2/x-y) + (3/x+y) - (5/y+x) - (7x-9y/y^2-x^2) = ___________/ y^2 - x^2

Answers

Answer:

(5y-17x)/ (y^2-x^2)

Step-by-step explanation:

(2/x-y) + (3/x+y) - (5/y-x) - (7x-9y/y^2-x^2) =

Get a common denominator of y^2 - x^2

2/ (x-y) = -2 /( y-x) * (y+x)/(y+x)  = (-2y -2x) / (y^2 -x^2)

(3/x+y) = 3/ (x+y) * (y-x)/(y-x) = (3y-3x) /  (y^2 -x^2)

-5/(y-x) = -5/(y-x) *(y+x)/(y+x) = -5y-5x /  (y^2 -x^2)

- (7x-9y/(y^2-x^2) = -7x +9y/ (y^2-x^2)

Combine the numerators since the denominators are equal

-2y -2x +3y-3x-5y-5x-7x+9y

5y-17x

Put this over the denominator

(5y-17x)/ (y^2-x^2)

Answer:

[tex] \frac{ - 17x + 5y}{ {y}^{2} - {x}^{2} } [/tex]

Solution,

[tex] \frac{2}{x - y} + \frac{3}{x + y} - \frac{5}{y - x} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{3}{x + y} - \frac{5}{ - (x - y)} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{3}{x + y} + \frac{5}{x - y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{5}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2 + 5}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7(x + y) + 3(x - y)}{(x - y)(x + y)} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7x + 7y + 3x - 3y}{ {x}^{2} - {y}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{10x + 4y}{ {x}^{2} - {y}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{10x + 4y}{ - ( {y}^{2} - {x)}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 10x - 4y - 7x + 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 10x - 7x - 4y + 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 17x + 5y}{ {y}^{2} - {x}^{2} } [/tex]

hope this helps...

Good luck on your assignment...

A 26-foot ladder is placed against a house and reaches the 24-foot roof. What is the distance between the base of the ladder and the base of the house if the ground meets the house at a right angle?

Answers

Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft

To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

We have established that the hypotenuse is the length of the ladder which is 26ft

Let the distance we want to calculate be d

26^2 = 24^2 + d^2

d^2 = 26^2 -24^2

d^2 = 676 - 576

d^2 = 100

d = square root of 100

d = 10ft

Answer:

10

Step-by-step explanation:

24^2 = 576

26^2 = 676

676 - 576 = 100

the square root of 100 is 10 so the answer is 10

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99​% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.2 in. and a standard deviation of 1.2 in. Find Upper P 99. That​ is, find the hip breadth for men that separates the smallest 99​% from the largest 1​%.

Answers

Answer:

Upper P99 = 17 in.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 14.2, \sigma = 1.2[/tex]

Upper P99

This is X when Z has a pvalue of 0.99. So X when Z = 2.327.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 14.2}{1.2}[/tex]

[tex]X - 14.2 = 1.2*2.327[/tex]

[tex]X = 17[/tex]

So

Upper P99 = 17 in.

5/4 x (54/48 + 105/75)

Answers

Answer:

  5/4 x (54/48 + 105/75)

=  5/4 x (9/8 + 7/5)

=  5/4 x (45/40 + 56/40)

=  5/4 x 101/40

=  1/4 x 101/8

=  101/32

Hope this helps!

:)

Answer: 3/5/32

Step-by-step explanation:

5/4 x(54/48 + 105/75)

5/4 x (1/1/8 + 1/2/5)

5/4 x 2/21/40

1/1/4 x 2/21/40

3/5/32 ( 3 whole and 5 over 32)

HOPE THIS HELPS

Mark me as the brainiest answer

The height of a trapezoid is 4 in. And its area is 48 in 2. One base of the trapezoid is 6 inches longer than the other base. What are the length of the bases? Complete the explanation on how you found your answer

Answers

Answer:

9 inches and 15 inches

Step-by-step explanation:

The height of a trapezoid is 4 in.

Its area is 48 in^2.

Let a be one base and b be the second base.

One base is 6 inches longer than the other. This implies that:

a = 6 + b _________ (1)

The formula for the area of a trapezoid is given as:

[tex]A = \frac{1}{2}(a + b)h[/tex]

where h = height

From (1), we have that:

[tex]A = \frac{1}{2}(6 + b + b )h\\ \\A = \frac{1}{2}(6 + 2b )h[/tex]

We have that h = 4 and A = 48 in^2, therefore:

[tex]48 = \frac {1}{2}(6 + 2b) * 4\\ \\96 = 24 + 8b\\\\8b = 96 - 24 = 72\\\\b = 72 / 8 = 9 in[/tex]

=> a = 6 + 9 = 15 in

The bases are 9 inches and 15 inches long.

One term of (x+y)^m is 31,824x^18y^11
What is the value of m ?

Answers

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex]  ...(i)

We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-

[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex]  ...(ii)

On comparing (i) with (ii) , we get

[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]

i.e.

[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]

Hence, the value of m is 29.

PLEASE ANSWER---

Sandra rolls 2 fair dice.
What is the probability of both dice showing an even number?​

Answers

Answer:

50 Persent

Step-by-step explanation:

Each one has 3 even and 3 odd numbers.

For the first one to be even there is a 3/6 probability, which reduces to 1/2.

The probability of the second one being even is also 1/2.

The probability of both being even would be 1/2 x 1/2 = 1/4 probability

help me hahahahahahhahahahaha

Answers

Pretty sure it’s 3x=3

lainey bought a set of 15 makers for $6 what is the cost of 1 marker

Answers

Answer:

Each marker costs $.40 or 40 cents

Step-by-step explanation:

Take the total cost and divide by the number of markers

$6.00 /15

.40

Each marker costs $.40 or 40 cents

Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

x = -3/2                    x =0

Step-by-step explanation:

(2x+3) ^2 - 6x-9 = 0

Factor out -3 from the last 2 terms

(2x+3) ^2 - 3( 2x+3) = 0

Let m = 2x+3

m^2 - 3m = 0

Factor out m

m(m-3) =0

Using the zero product property

m=0  m-3 =0

m=0  m=3

Substitute 2x+3 back in for m since we are looking for the value of x

2x+3 =0                2x+3 =3

2x +3-3=0-3       2x+3-3=3-3

2x = -3                  2x=0

x = -3/2                    x =0

at a school number of boy:number of girls is in the ratio 11:9
there are 124 more boys than girls
work out the total number of sutdents at the school

Answers

Answer:

1240 (I'm not so sure but per my calculation that is what i got)

Step-by-step explanation:

Boy     : Girl

11         :   9

124 + x :  x

11/9 = 124 + x / x

9(124 + x) = 11 x

1116 + 9x = 11x

1116 = 11x - 9x

1116 = 2x

x = 558

Thus, there are 558 girls in the school

Number of boys = 124 + x

                             = 124 + 558

                             = 682

Therefore, total number of students = 558 + 682 = 1240 students

What is the area of this shape

Answers

Answer:

179 + 49+ 139 = 367

Step-by-step explanation:

Write each ratio or rate as a fraction in simplest terms. 2) 51 minutes to 21 minutes

Answers

Answer:

[tex]\frac{17}{7}[/tex]

St
Problems
1 1.3 - (-2.5)
يا​

Answers

إجابة:

3.8

شرح خطوة بخطوة:

[tex]1.3 - (-2.5)[/tex]

[tex]=1.3+2.5[/tex]

[tex]=3.8[/tex]

Answer:

3.8

Step-by-step explanation:

negative by negative = positive.

1.3 + 2.5 = 3.8

A group of 6 friends of varying ages meets at a coffee shop and sits in a circle. What is the probability that the
youngest member of the group sits in the seat closest to the door?

Answers

Answer:

[tex]100.00 \div 6 [/tex]

The probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,

So, the probability = favorable outcomes / total outcomes

Here, the favorable outcome = 1

The total outcomes = 1, 2, 3, 4, 5, 6 = 6

So, the probability = 1/6 = 1/2

Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Learn more about probability click;

https://brainly.com/question/30034780

#SPJ2

Please help me!!!!!!

Answers

Answer:

16.7 cm

Step-by-step explanation:

So B = 180 -A-C=180-58-75=47degree

sinB/AC = sinC/AB

sin47/AC=sin75/22

AC=16.65cm

Find the indicated term of the given arithmetic sequence.

a14 for 200, 196, 192, ...

Answers

Answer:

148

Step-by-step explanation:

AP 200, 196, 192, ...

a14=?

---------

a1= 200

d= 196-200=192-196= -4

a14= a1+13d

a14= 200+13*(-4)= 200- 52= 148

which counterexample shows that the conjecture "all mammals live on land" is false?

Answers

Answer:

B. A whale is a mammal that does not live on land.

Step-by-step explanation:

Self explanitory


Express 250 ml as a percentage of 2 litres.​

Answers

1 litre= 1000mL

Given: 2 liters

2×1000= 2000 litre

Now to find %

250/2000 × 100

Answer: 12.5%

LAST TRY!!!! I HAVE THIS LAST QUESTION AND 4 MIMNTES LEFT!!!!!! PLS HELP OUT!!! WILL GIVE BRANLIEST!!! AT LEAST TAKE A LOOK!!! SHARE YO SMARTNESS! ONLY IF YOUR 100% SURE!

Which angles would apply to the consecutive exterior angles theorem?

A) 1 and 7; 2 and 8
B) 1 and 8; 2 and 7
C) 1 and 5; 3 and 7
D) 2 and 6, 4 and 8

Answers

Answer:

Step-by-step explanation:

Consecutive exterior angles lie outside on the same side of a transversal.

So it should be 3,45 and 6

What is 200+20000000

Answers

Answer:20000200

Step-by-step explanation:

Answer: 20000200

You just add 200 to the larger number.

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