the area of rectangular plot of land fenced all round is 2000 sq. yards and the total length of fencing 180 yards. find the length and width of plot

Answers

Answer 1

9514 1404 393

Answer:

length: 50 ydwidth: 40 yd

Step-by-step explanation:

The perimeter is twice the sum of length and width. Then the sum of length and width is 90 yards. Their product is the area, so we have ...

  x(90 -x) = 2000 . . . . where x is length or width

  x^2 -90x +2000 = 0 . . . . rearrange to standard form

  (x -40)(x -50) = 0 . . . . . . . factor

  x = 40  or  x = 50

The dimensions of the rectangular plot are 40 yards by 50 yards.


Related Questions

ABCD is a quadrilateral with AB equal and parallel to DC. prove that AD is equal and parallel to BC​

Answers

Answer: see below proof

Step-by-step explanation:

Imagine a diagonal line AC

If AB = DC and AB // DC then angle BAC =

Angle ACD Alternate Interior angles theorem.

Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.

If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.

If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.

If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.

50 POINTS!!!! What's 29 4/5% of $5.64 Round your answer to the nearest cent.

Answers

$1.68 yeh yeh yeh yeh yeh


Pleaseeeeeee help I will mark brainliest

Answers

I agree with Garrett that a negative association is demonstrated since when the y value increases, the x value tends to decrease.

i giveee brainlilstttt

Answers

Answer:

R would become (-8,10)

S would become (-7,10)

T would become (-7,0)

U would become (-8,0)

Answer:

wow man how nice thanks

Step-by-step explanation:

woooooooooooooow ;)))

On a bulletin board the principal Miss Gomez put 115 photos of the fourth grade students in her school. She puts the photos in five equal rose how many photos did she put in each row?

Answers

Answer:

naruto

Step-by-step explanation:

A group of physicians conducts a study to find the success
rate of different treatments for an illness. They select one
hospital at random and obtain a list of patients who have
received each treatment. They select every fifth patient on
the list and contact that patient.
What is the sample in this study?
A. Patients who have been diagnosed with the illness
B. The patients from the list who are contacted by the physicians
C. Patients who received one of the treatments at the selected
hospital
D. The patients on the list that the hospital provided to the doctors

Answers

Your answer is B :)

Happy to help!

Answer: B

Step-by-step explanation:

I took the quiz and  got this right, Happy to help!!

Derrick drove 15 miles at an average rate of 30 miles per hour.
Beth drove 40 miles at an average rate of 50 miles per hour.
Which person drives for a longer time?

Answers

67 miles lololololol

Which graph represents the solution to the system of inequalities?




{y<−4x+1
{y≥−14x

Answers

Answer:

1st graph on line 2

Step-by-step explanation:

estimate the quotients 6.15 ÷ 31​

Answers

Answer:the answer is 19.10 or 20

Step-by-step explanation:

Solve for x
4^x/9^x=½

Answers

Answer:

x = 0.85476

Step-by-step explanation:

4ˣ/9ˣ=½

9ˣ / 4ˣ = 2

(9/4)ˣ = 2

2.25ˣ = 2 .... aⁿ = x     logₐx = n

log₂.₂₅2 = x

x = 0.85476

Help solve inequality

Answers

Answer:

n ≥ -95

Step-by-step explanation:

[tex]\frac{n}{-5}[/tex]  -4 ≤ 15    

[tex]\frac{n}{-5}[/tex] ≤ 19             add 4 to 15

n ≥ -95            multiple -5 to 19; sign flips when multiplying or dividing an inequality

You draw a card from a standard deck of cards three
times. What is the probability that you draw a spade,
then a red card, and then a face card (Jack, Queen, King)
with the following conditions. (Leave answers as fractions
in reduced form)
WITHOUT REPLACEMENT OF CARD

Answers

Answer:

yasssssss queen/king

Step-by-step explanation:

What is the slope of the line y = 7x + 3
-?
1
7
А
B
7
3
8
8
3

Answers

Answer:

7 :)

Step-by-step explanation:

Helppp Plzz!!!!!!!!! 20PTS and Brainliest!!!!!!!

Answers

Answer: 37.5

Step-by-step explanation:

Use a proportion for this type of problems

What is the simplified form of the following expression?

Answers

The right answer is the third one.

d + 5.5 = 10. Solve for d.

Answers

Answer:

4.5

Step-by-step explanation:

d=10-5.5

d= 4.5

we just need to minus 10 with 5.5 so that we can find d

A puzzle box has a height of 27 centimeters. It has a base with an area of 220 square centimeters. What is the volume, in cubic centimeters, of the puzzle box?

Answers

Answer:

5940 cm^3

Step-by-step explanation:

Step one:

given data

Height = 27 cm^3

Area= 220 cm^2

Required

the volume of the box

Step two:

the expression for volume is

V= Area* height

v= 220*27

V= 5940 cm^3

What is the least common denominator of 1/4 and 7/9

Answers

Answer: It is 36

Step-by-step explanation:

It is Monday.

/: There is chicken for lunch.

/

Write the inverse in if-then form.

Answers

The proper way to write this sentence would be:

If it is Monday then there is chicken for lunch.

May I have brainliest please? :)


What is the slope of a line that is perpendicular to the line in the graph?

Answers

Answer:

The slope of the required line is 1

Step-by-step explanation:

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:

[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]

The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:

m*m'=-1

Solving for m':

[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]

Thus the slope of the required line is 1

how do i get rid of the stupld

Answers

Answer:

wdym get rid of the "stupld"

Step-by-step explanation:

Answer:

Study, ask teachers questions, email, use this app, etc.

Step-by-step explanation:

If you study for a test/exam. Look over the study guide and recite it for 20 minutes and take a 10 minute break. Then pretend you're explaining the subject to someone for 20 minutes and take a 10 minute break. Then go over the study guide again and see if you missed anything while explaining and then explain it again but this time with the things you missed. Repeat if necessary. Flashcards on quizlet n stuff can help too.

Need help solving this equation

Answers

The answer is to your equation is 4

The dimensions of a drawer are:
height = 2x + 3 inches, length 52 + 2 inches and
width 3x – 2 inches. What is the volume of the drawer?

Answers

Answer:

Hope you find the help you need on this sorry , i couldnt find the answer :( good luck !!

Step-by-step explanation:

Solve for w. -34=-6+w/4

Answers

Answer:

w=−112

Step-by-step explanation:

-34=-6+w/4

Simplify both sides of the equation.

−34=−6+ w /4

−34=−6+ 1 /4 w

−34= 1 /4 w−6

Flip the equation.

1 4/ w−6=−34

Add 6 to both sides.

1 /4 w−6+6=−34+6

1 /4 w=−28

Multiply both sides by 4.

w=−112

Answer:

w = - 112

Step-by-step explanation:

-34=-6+w/4

1. Add 6 on both sides

-34 + 6 = -6 + 6 + w/4

-28 = w/4

2. Multiply 4 on both sides since it's the opposite of dividing

-28 * 4= w/4 * 4

- 112 = w

Hope this helped!

PLEASE ANSWER
At Shoe Carnival a pair of shoes costs $83.05. How much do the shoes
cost after a 15% discount? *

Answers

Answer:

$70.59

Step-by-step explanation:

15% of $83.05 = 12.4575$83.05 - $12.4575 = $70.59

I hope this helps!

answer: $70.59

explanation:
15% = .15
1 - .15 = .85
83.05 * .85 = 70.59

Write an explicit formula for the sequence -13,-6,1,8, ...
A. an= -13n+7
B. an= -13+(n+7)
C. an= -13+7(n-1)
D. an= -13n+7

Answers

Answer:

7n-20 I believe

Step-by-step explanation:

hope this helps

Answer: A

lol need extra characters

i took the test btw

–4x-2y=-2
x-2y=9
what do you get if you subtract the second from the first

Answers

Answer:

-4×-2y=2

-4×+8y=-8

6y=6

y=1 then you the value of y and to put in any one equestion

A pastry chef can decorate 1 cake in 7 minutes. How many cakes can he
decorate in 56 minutes?

A. 392 cakes

B. 8 cakes

C. 9 cakes

D. 63 cakes

Answers

It’s b but are you really in college because there is now way you can’t solve that

Write the equation of the function g(x) if g(x) = f(x - 3) +1 and f(x) = x3 + 1.

Answers

Answer:

Solution,

f(x) = [tex]x^{3}[/tex] + 1

Put x = x - 3,

f(x - 3) =  [tex](x-3)^{3}[/tex] + 1

Now,

g(x) = f(x - 3) + 1

or, g(x) =[ [tex](x-3)^{3}[/tex] +1 ] + 1

or, g(x) = [tex]x^{3} -9x^{2} + 27x - 1 + 1+1[/tex]

or, g(x) = [tex]x^{3} - 9x^{2} +27x + 1[/tex]

please answer asap no trolls!

Answers

Answer:

Yes.

Step-by-step explanation:

3.5 + 5.5 > 7.8

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