If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the maximal area?

Answers

Answer 1

Answer:

Length = 162 feet and Width = 108 feet.

Step-by-step explanation:

Answer 2

The area of a 2D form is the amount of space within its perimeter. The area of this region will cover is 26,244 feet².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

A four-sided figure covers the maximum area when the length of its four sides is equal. Therefore, the length and the width of the region will be equal. Thus, we can write the length of the fence as,

4x = 648 feet

x = 648/4 feet

x = 162 feet

Now, the area this region will cover is,

Area = 162 feet x 162 feet

        = 26,244 feet²

Hence, the area of this region will cover is 26,244 feet².

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Related Questions

What is the slope of a line perpendicular to the line whose equation is x-y=5x−y=5.

Answers

Answer:

1

Step-by-step explanation:

The volume V in liters of air in the lungs during a five- second respiratory cycle is approximated by the model V= 0.1724t+0.1523t^2-0.0377t^3 where t is the time in seconds. Approximate the average volume of air in the lungs during one cycle. Round your answer to four decimal places.

Answers

Answer:

[tex]\frac{\int\limits^5_0 {0.1724t+0.1523t^2-0.0377t^3} \, dt }{5-0} = 0.522[/tex]

Step-by-step explanation:

as with all functions f(t), the average value on [a,b] is

[tex]\frac{\int\limits^b_a {f(t)} \, dt }{b-a}[/tex]

Which of the options is a solution for the following system of inequalities 2x+y>3 and x-y>1?
(5,-2)
(0,5)
(0,0)
(0,-5)​

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Find the following area of this trapezoid.​

Answers

Answer:

its c 98

Step-by-step explanation:

multiply hight by width so 14x7 and thats 98 but idrk

4x + y = 2 x - y = 3 solve by graphing

Answers

Answer:

6 (8)8

Step-by-step explanation:

Pls help I need it pls

Answers

Answer:

D-5/7

Step-by-step explanation:

You can use the formula rise over run, which is basically y2-y1 over x2-x1 in other words

In this case, y2=-3, y1= 2, x2=3 ,x1=-4

In every coordinate pair and table, the x always comes first

-3-2/3-(-4)=-5/7

Which is a disadvantage of using credit?

Answers

Answer:

Overspending: Credit cards can make life easier, but they can also make overspending easier as well. ...

Interest and fees: Using credit is essentially borrowing.

Step-by-step explanation:

Answer:

High-interest rates if not paid in full by the due date Annual fees for some credit cards can become expensive over the years. Fee charged for late payments

Step-by-step explanation:

Write the value of the 4. 6.54

Answers

Answer:

Hundredths place

Step-by-step explanation:

6 in 6.54 is ones place

5 in 6.54 is tenths place

4 in 6.54 is hundredths

plz mark me brainliest

Desert Shores, California is located at an elevation that is below sea level. What is a possible elevation of Desert Shores, California?

A) 600 ft.
B) 500 ft.
C) -- 200 ft.
D) 0 ft.

Answers

Answer:

C) -- 200 ft.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

That is the only negative answer

- 3x - 10 = 32
X = 14
X = -14
X = -10
x =10

Answers

Anyways cuh it’s -3x-10=32

-3x=42
-3

X=-14

Answer: -14

Step-by-step explanation:

-3x-10=32

Since the 10 is negative you have to add 10 on the right side of the equal sign. you add 10 to the negative 10 and it cancels out and becomes zero. Then you have to add 10 to the 32 and it becomes 42. Divide the 42 by negative 3 and you get -14.

Pythagorean Theorem (Please Answer)
Just Making sure I am correct, Yes or No. If I'm not correct please tell me how.

Answers

Answer:

ur right

Step-by-step explanation:

Solve the following inequality for m. Write your answer in simplest form. - 7 + 5(9m – 7) < 9m - 2 - 9 m < - 2 Submit Answer atte​

Answers

Answer:

m < [tex]\frac{36}{31}[/tex]

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

               -7+5*(9*m-7)-(9*m-2-9)<0  

Step by step solution :

STEP  1

:

Equation at the end of step 1

 (-7 +  5 • (9m - 7)) -  (9m - 11)  < 0  

STEP  2

:

Equation at the end of step 2

 36m - 31  < 0  

STEP  3:

3.1    Divide both sides by  36  

     m-(31/36)  < 0

Solve Basic Inequality :

3.2      Add  31/36  to both sides

            m < [tex]\frac{31}{36}[/tex]

Help it’s due soon all help is appreciated

Answers

i have no clue sorry maybe ask the teacher for help!

Evaluate 36 = (x+9) when x = 3.
O A. 3
O B. 12
O C. 21
O D. 4

Answers

I think it’s A.) 3
36=(x+9) x=3 ( substitute)
36=(3+9) add
36=(12) multiply
36\12 = 3

If there are 10 boys to 7girls, how many boys are there when there are 21 girls?​

Answers

30 I hope this helps!!

Answer:

30 boys

Step-by-step explanation:

10 boys to 7 girls= 10:7

Blank boys :21 girls

7x3=21

10x3=30

Blank=30

30 boys : 21 girls

Evaluate 3z + 6 when z=4​

Answers

Answer:

3(4)+6

12+6

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

If z = 4

3z + 6

= 3 ( 4 ) + 6

= 12 + 6

= 18

Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500.If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is​

Answers

Answer:

20x + 45y = 9500 is the linear equation for given scenario

Step-by-step explanation:

Given that Eve makes $20 for each 5K participant and $45 for each 10K participant

Cost of each 5k participant = $ 20

Cost of each 10k participant = $ 45

Her goal is to raise $9,500

Let "x" represents the number of participants in the 5K race

Let "y" represents the number of participants in the 10K race

To find: linear equation for given scenario

The standard form for linear equations in two variables is Ax + By = C

Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500

From the above statement, we can frame a equation as:

number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500

20x + 45y = 9500

Therefore, the linear equation for given scenario is found

Answer:

20x + 45y = 9500

yes/no: no

Solution:

Given that Eve makes $20 for each 5K participant and $45 for each 10K participant

Cost of each 5k participant = $ 20

Cost of each 10k participant = $ 45

Her goal is to raise $9,500

Let "x" represents the number of participants in the 5K race

Let "y" represents the number of participants in the 10K race

To find: linear equation for given scenario

The standard form for linear equations in two variables is Ax + By = C

Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500

From the above statement, we can frame a equation as:

number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500

20x + 45y = 9500

If eve raises exactly $9,500, it is NOT possible for there to be 220 participants in the 5K race.

Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement.
If no, justify your answer.

Answers

In triangle ABC and triangle XYZ
Angle ABC = Angle XZY (Given)
Angle BAC = Angle XYZ (Given)
AC = XY (Given)
By A.A.S congruence rule,
Triangle ABC ~ Triangle XYZ


A.A.S congruence rule - According to this congruence rule when two angles and the following side are equal then the triangle is said to be congruent.

Answer:

Yes, the triangles are congruent by AAS. △ABC is congruent to △YZX.

Step-by-step explanation:

simplify, 3xsqrt-75a

Answers

Answer:

[tex]15xi \sqrt{3a}[/tex]

Step-by-step explanation:

[tex]3x \sqrt{-75a} \\ \\ =3x \sqrt{-1} \sqrt{25} \sqrt{3a} \\ \\ 15xi \sqrt{3a}[/tex]

What number would you use to get rid of the fractions?*
1/2+1/5x=3/10x+4/5

Answers

Answer:

10

Step-by-step explanation:

multiplying each fraction by 10 gets of the fraction form

1/2 * 10 = 5

1/5x * 10  = 2x

3/10x * 10 = 3x

4/5 * 10 = 8

fill in the table of values so that this is a proportional relationship with k=3/2

Answers

Step-by-step explanation:

the table is non-existent

I have a cockroach problem in my living room. Don't ask how but I counted 64 cockroaches today. And they are
growing at a rate of 25% every day.
How many cockroaches do you think I'll have after three days?

Answers

If they are growing at a rate of 25% every day you can expect to have approximately 100 cockroaches in your living room.

What is growth rate?

Growth rate refers to the rate at which something (such as a population, a quantity, or a value) increases or decreases over a certain period of time.

Assuming that the growth rate is compounded daily, we can calculate the number of cockroaches you will have after three days using the formula for exponential growth:

[tex]N = N_0(1 + r)^t[/tex]

Where:

N₀ is the initial number of cockroaches (64 in this case)

r is the growth rate (25% or 0.25 in decimal form)

t is the time in days (3 in this case)

N is the number of cockroaches after t days

Plugging in the values, we get:

[tex]N = 64(1 + 0.25)^3[/tex]

[tex]N = 64(1.25)^3[/tex]

N = 64(1.5625)

N = 100

Thus, after three days, you can expect to have approximately 100 cockroaches in your living room.

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Solve for 'p'. Show all work: 2(-4x + 8) ≤ 20

Answers

Answer: Answer:  x≥  −1 /2

Step-by-step explanation:

Answer:

x ≥ -1/2 or x ∈ [-1/2, +∞)

Step-by-step explanation:

2(-4x + 8) ≤ 20

divide both sides by 2

-4x + 8 ≤ 10

move 8 to the right

-4x ≤ 10-8

-4x ≤ 2

divide both sides by -4. Flip the sign since a negative value is being divided

x ≥ - 1/2

given cot A= 40/9 and that angle A is in quadrant 1 find the exact value of sec A in the simplest radical form using a rational denominator

Answers

Answer:

41/40

Step-by-step explanation:

Given cotA = 40/9

1/tanA = 40/9

tanA = 9/40

According to SOH, CAH, TOA

tan A = 9/40 = opposite/adjacent

Get the hypotenuse

hyp² = opp²+adj²

hyp² = 9²+40²

hyp² = 81+1600

hyp² = 1681

hyp = √1681

hyp = 41

Het sec A

sec A = 1/cosA

Since cos A = adjacent/hypotenuse

cos A = 40/41

secA = 1/(40/41)

SecA = 41/40

Hence the exact value of secA is 41/40

A tape diagram. There are 35 6th graders with an older sibling out of 100 6th graders. There are question mark 6th graders with an older sibling out of 300 6th graders. StartFraction part Over whole EndFraction = StartFraction 35 times 3 Over 100 times 3 EndFraction = StartFraction question mark Over 300 EndFraction Graph If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve this problem, we can write an equivalent ratio as the percent and then create the percent . 6th graders have an older brother or sister.

Answers

Answer:

35 a

Step-by-step explanation:

ada

Answer:

1. Percent 2. Ratio 3. Ratio 4. 105

Step-by-step explanation:

I just did it

Factor: 5x2 – 15x – 20.

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).

Answers

Answer:

A

Step-by-step explanation:

ask nicely and I'll give you what you want

Answers

Answer:

The expressions that are equivalent to that includes:

[tex]▪ \: 3c + \frac{4}{5} + \frac{1}{2} \\ ▪ \: \frac{4}{5} + \frac{1}{2} + 3c \\ ▪ \: \frac{1}{2} + \frac{4}{5} + 3c[/tex]

Answer:

1, 3, and 5 they all equal to (3c+13/10) which was the answer for the question

Step-by-step explanation:

to find out which is equivalent  solve fraction and  solve the others to see which one is similiar.  

Find the value of x and y that satisfy both equalities x/5=y/3 and 12/y=4/5 HURRY!!!!

Answers

x=25,y=15 Not to sure abt this answer but I think I got it

00:00
Select all the values of p that are solutions for this inequality
10p - 8 >12
A. -1
B. 0
C. 1
D. 2
E. 3

Answers

Answer:

The answer is D. and E.

Step-by-step explanation:

The answer is D and E because 10 multiplied by 2 is 20 and 20 is bigger then 12 and 10 times 3 is 30 which is also bigger than 12.

P.S Can I have brainliest?

From the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

10p - 8 >12

10p > 12 + 8

10p > 20

p > 2

p ∈ (2, ∞)

Thus, from the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.

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plz help me 25y−4+7−910y =

Answers

Answer:

-885y+3

Step-by-step explanation:

Yes i agree i also got -885y+3
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