a rectangular playground has its length more than its breath by 2 m find the length and breadth of the playground if area of playground is 440 sq.m.​

Answers

Answer 1

Answer:

Length = 22m

Breadth = 20m

Step-by-step explanation:

Given:

Area = 440 m²

Let the breadth be x m

According to the question:

Length = (x+ 2) m

Area of a rectangle = length × breadth

Substitution the values of area, length and breadth

440 = (x+2) × x

440 = x² + 2x

x² + 2x - 440 = 0

x² + 22x - 20x - 440 = 0

x (x + 22) - 20 (x + 22) = 0

(x + 22)  (x - 20) = 0

x = -22 and 20

Since the value of breadth cannot be in negative, therefore the value of breadth will be 20 m.

Length = (x + 2)

⇒ 20 + 2

⇒ 22 m


Related Questions

Plzzzzzzzzzzzzz help me giving 30 points i asked this question too much.

Answers

Answer:

$1.90  1 9/10

Step-by-step explanation:

5 1/2= $5.50

5.50+2.60= 8.10

10-8.10= $1.90

Please Help! Solve the equation for x.
1/3x-8= -12

A. x= -12

B. x= -6

C. x= 4

D x= 6

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

Okay so i need to know the area of the rectangle on the inside its 5ft on the right side its 6ft and on the bottom its 5ft please and thank you :)

Answers

Answer:

30ft^2

Step-by-step explanation:

Area of a rectangle = Length * Width

Given

Length = 6ft

Width = 5ft

Substitute

Area of the rectangle = 6ft *5ft

Area of the rectangle = 30ft^2

Hence the area of the rectangle is 30ft^2

About how many more website hits were there on Saturday than on Friday?

Answers

Answer:

1,000 hits

Step-by-step explanation:

Saturday: 2,000 hits

Friday: 1,000 hits

2,000 - 1,000 = 1,000

Answer: 1,000 hits

Step-by-step explanation:

I just took the test, it's right.

May i get someone to help with these questions

6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81

8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54

Answers

Answer:

8) 0.46

Step-by-step explanation:

54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54

100% - 54% = 46%

46%/100 = 0.46

You're #6 is unclear, what is V?

Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared

Answers

Answer:

4. A = 1029 cm²

Steps:

A = (35×21)+(21+2×3.5)×21/2

A = 735 + (21+7)×21/2

A = 735 + 28×21/2

A = 735 + 588/2

A = 735 + 294

A = 1029 cm²

I need help with this

Answers

Answer:

13.5

Step-by-step explanation:

4+5 = 9.

9/2 = 4.5

4.5 * 3 = 13.5

PLEASE HELP!! find the value of c

Answers

Step-by-step explanation:

step 1. so you want to convert a quadratic (ax^2 + bx + c) into a perfect square

step 2. therefore c is half of b then squared

step 3. (26/2)^2 = 169

step 4. (-22/2)^2 = 121

step 5. (-13/2)^2 = (-6.5)^2 = 169/4 = 42.25.

Solve the system of equations by multiplying first. Enter the solution as an ordered pair.

x + 3y = -13

4x + 4y = -12

The solution is

Answers

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

I’LL GIVE YOU BRILLIANCE
(it’s question 15)

Answers

Answer:

one 4 Two yes And 4

Step-by-step explanation:

3x = -6у + 3
2y = -x+1

Answers

Answer:

3x = -6у + 3 and   2y = -x+1 are the same

i dont know what the question is but this should help. they are the same line on  a graph

Step-by-step explanation:

3x = -6y + 3

2y = -x + 1 adding x on both sides and subtracting 2y on both sides

x = -2y + 1 multiply by 3

3x = -6y + 3

Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?

Answers

Answer:

[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]

Step-by-step explanation:

[tex]\text{The given equation is:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]

[tex]\text{To find:}[/tex]

[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]

[tex]\text{From the given equation:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]

[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]

[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]

[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]

[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]

[tex]\implies \dfrac{4b- 2}{4b}[/tex]

[tex]\implies \dfrac{2b- 1}{2b}[/tex]

An artist is painting flower pots that each require 1/32 gallon of paint. What is the maximum number of flower pots the artist can paint with 3/4 gallon of paint?

Answers

Answer:

24 flower pots

Step-by-step explanation:

Fraction of paint required per flower pot = 1/32

Number of pots that can be painted with 3/4 galoons of paint :

Total Fraction of paint had / fraction of paint required per flower pot

3/4 ÷ 1/32

3/4 * 32 / 1

(3*32) / 4

96 /4

= 24 flower pots

Please help! In the diagram below, lines l and k are parallel.




What is the measure, in degrees, of ∠ABC ?

Answers

Answer:

50

Step-by-step explanation:

x+95 = 4x-10 ( alternate angles)

or, 4x -x = 95+10

or, 3x = 105

x= 35

x+95 = 35+95 = 130

130 + ABC = 180 ( linear pair)

or, ABC = 180-130= 50

Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.

Answers

b, it is four less than a number

Step-by-step explanation:

B. Four less than a number.

guys help i only have 10 more minutes left ;-;

Answers

Answer:

20

Step-by-step explanation:

12 = 6/10 x

120 = 6x

x = 20

Please help me with this and find x!! Thank you, only if you know!

Answers

Answer:

x = 9.8

Step-by-step explanation:

to find x, use pythagorean theorem

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 14^{2} - 10^{2}[/tex]

[tex]a^{2} = 196 - 100[/tex]

[tex]a^{2} = 96[/tex]

[tex]\sqrt{a^2} = \sqrt{96}[/tex]

[tex]a = 9.7979[/tex] ⇒ 9.8

Answer:

The value of x=4√6cm or √96cm

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Hypotenuse given=14cm

Base=10cm

Perpendicular=x

14²=P²+10²

196=P²+100

196-100=P²

96=P²

√96=P

4√6cm=x

Given the equation of a line y =-5x -16, what is the slope of a line PARALLEL to this line? ​

Answers

Answer:

-5

Step-by-step explanation:

slopes of parallel lines are the same

7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?

Answers

Answer:

Tom weighs 5 times as much as Nicholas

Step-by-step explanation:

To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:

Tom's weight = 168.5 pounds

Nicholas' weight = 33.7 pounds

Dividing both weights = 168.5 ÷ 33.7 = 5

∴ Tom weighs 5 times as much as Nicholas

Find the 11th term of the geometric sequence 6, -18,54, ...

Answers

a1 = 6, r = -3
an = a1 * r^n-1 (formula)
a11 = 6 * (-3)^11-1
a11 = 6 * 590949 = 354294
a11 = 354294

Answer:

354294

Step-by-step explanation:

a1 = 6, r = -3

an = a1 * r^n-1 (formula)

a11 = 6 * (-3)^11-1

a11 = 6 * 590949 = 354294

a11 = 354294

Find the missing side of this right triangle.

Answers

Answer:

13

Step-by-step explanation:

it's a 5,12,13 triangle

and we can find the sides by Pythagorean theorem:

a^2 + b^2 = root of c

25 + 144 = 169

root of 169 = 13

What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in

Answers

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

PLEASE HELP IM DESPRATE AND I CANT GET IT

Answers

Answer:

1

Step-by-step explanation:

1. 1

if you find -4 on the x-axis, the y value is 1.

what is the 3rd page?

what is Arithmetic progression and geometric progression?




hope u have a great day!!​

Answers

Answer:

Arithmetic progression is a series of numbers in which each one varies from the one before it by a constant quantity

Geometric progression is a non-zero number sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number known as the common ratio.

Hope you have a good day as well! <3

Please help me!
[One Step Inequalities]

Answers

12 > x+6
Subtract 6 from both sides.
Therefore, 6 > x and x < 6.

Answer:

x<6

Step-by-step explanation:

Order the following numbers from least to greatest : 2.67 5.28 1.73 4.92 2.56

Answers

Answer:

is this helpful i hope it is

A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?

Answers

Answer:

See solution below

Step-by-step explanation:

The ball will hit the ground at whrn t = 0

Given the height of the ball modeled by the expression

h(t) = -16t^2 + 64

0 =  -16t^2 + 64

16t^2 = 64

t^2 = 64/16

t^2 = 4

t = 2sec

The ball will hit the ground 2secs after

The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}

when t = 2

h (2) = -16(2)^2 + 64

h(2) = -64+64

h(2) = 0

Hence the range are the output values i.e the height.

The range are within the range {0, ∞}

Which of the following functions is an example of an exponential function?
х
0
1
N
f(x)
2
4
6
8
g(x)
1
1
2
4
8
f(x) only
g(x) only
Both f(x) and g(x)
Neither f(x) nor g(x)

Answers

Answer:

g(x) only

Step-by-step explanation:

g(x) only is an exponential function

5b2+28=
b=1.5
PLEASE HELP ME!!!

Answers

if b is 1.5 then sub it into the equation
5(1.5)(2)+28
=15+28
=43

Answer:

39.25

Step-by-step explanation:

I am assuming that 5b2 means 5b to the power of 2.

5(1.5)^2+28

5(2.25)+28

11.25+28

39.25

Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm

Answers

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

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