a rectangle is twice as long as it is wide and its perimeter is 432cm
a) work out the dimensions of the rectangle.
b) work out the area of the rectangle.​

Answers

Answer 1
Answer:-

Let

Width of rectangle=xLength of rectangle=2xPerimeter=432cm

We know that in a rectangle

Perimeter=2(Length+Breadth)

[tex]\\ \sf\longmapsto 2(x+2x)=432[/tex]

[tex]\\ \sf\longmapsto 2x+4x=432[/tex]

[tex]\\ \sf\longmapsto 6x=432[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{432}{6}[/tex]

[tex]\\ \sf\longmapsto x=72[/tex]

[tex]\\ \sf\longmapsto 2x=2(72)=144[/tex]

Length=144cmBreadth=72cm

☆Area=Length×Breadth

[tex]\\ \sf\longmapsto Area=144\times 72[/tex]

[tex]\\ \sf\longmapsto Area=10368cm^2[/tex]


Related Questions

What is the value of x in this figure?

Enter your answer in the box.
x =

Answers

Answer: x = 78°

opposite angles have the same value

Answer:

78 degree

Step-by-step explanation:

x = 78 degree (being vertically opposite angle)

Here is a picture and thank you

Answers

no don’t thank me because i’m not answering it
The answer is B.

Because that expression simplified is 3x - 9x ³. Expand that and it gives you: 3x(1- 3x ²).

9/10 divided by 3/5 in simplest form

Answers

Answer:

3/2

Explanation:

To divide by a fraction multiply by the reciprocal of that fraction

9/10×5/3

reduce the numbers with greatest common factor 3

3/10×5

reduce the numbers with the greatest common factor of 5

3/2 is your answer

The fraction 9/10 divided by 3/5, in simplest form, is 3/2.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 3/5 is 5/3.

So, we have:

(9/10) ÷ (3/5) = (9/10) x (5/3)

Next, we multiply the numerators and denominators:

= (9 x 5) / (10 x 3)

= 45/30

To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:

= (45/15) / (30/15)

= 3/2

Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

On a piece of paper, graph this system of equations. y=x-2. y= x2 - 6x + 8

Then determine which answer choice matches the graph you drew and identify the solutions to the system.

A. Solutions: (2,0) and (5, 3)

B. Solutions: (2,0) and (4,2)

C.Solutions: (-2,0) and (2,0)

D.Solutions: (2,0) and (3,-1)​

Answers

The correct answer for the equation is: solutions (2,0) and (5,3).

According to the question, the expression can be simplified by substituting the values in the expression:

Therefore the required expression can be written as:

(x = 2; y = 0) and (x = 5; y = 3)

[tex]y = x-2 = 2-2 =0[/tex]

[tex]y = x-2 = 5-2 =3[/tex]

Both the solutions satisfied the given expression.

(x = 2; y = 0) and (x = 5; y = 3)

[tex]y=x^{2} -6x+ 8 = 4 -12+8=0[/tex]

[tex]y=x^{2} -6x+ 8 = 25 -30+8=3[/tex]

Both the solutions satisfied the given expression.

Hence, the correct answer for the equation is: solutions (2,0) and (5,3).

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification from the given link:

brainly.com/question/432678

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express 0.27272727......... in the form of p/q

Answers

Hello,

[tex]0.\overline{27}=\dfrac{27}{99} =\dfrac{9}{33} =\dfrac{3}{11}[/tex]

Plz help me jjhhhhhgg

Answers

Answer:

-3x - 11

Step-by-step explanation:

4x - 8 - 7x - 3

Simplify by combining like terms

4x - 7x = -3x

-8 - 3 = -11

were left with -3x - 11

Answer:

[tex]-3x-11[/tex]

Step-by-step explanation:

4x - 8 - 7x - 3

Combine Like Terms

4x - 7x = -3x

Combine Like Terms

- 8 - 3 = - 11

Final Answer: -3x - 11

Pls help me answer this question. Picture attached

Answers

Answer:

300

Step-by-step explanation:

to find volume u will have to multiply the length x width x breadth which is 5x5x12=300

Anyone know this ? Math

Answers

Answer:

line r or MB

Step-by-step explanation:

Answer:

only line r

Step-by-step explanation:

the question is what is perpendicular to (has an angle of 90 degrees with) AM.

line r is.

line s has no right angle with AM (even the extended line beyond these points).

MB is parallel to AM. in fact it is on the same line. so, they have 0 degrees and not 90.

JK is just a part of line s, and the same as for line s applies.

2. Out of 500 students appearing in an examination, the number of students who passed in mathematics only is twice the number of students who passed in science only. If 120 students passed in both subjects and 140 students failed in both subjects, then Find the ratio of the students who passed in mathematics to the students who passed in science.​

Answers

Answer:

60 to 60

Step-by-step explanation:

It says 120 students passed in both and mathematics is only twice so 120 divided by 2 is 60

A simple way to describe a Coefficient?

Answers

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

Hope it helps

Answer:

A number placed before and multiplying the variable in an algebraic expression (e.g. [tex]4[/tex] in [tex]4x[/tex]).

Step-by-step explanation:

Hope this is helpful.

how many solutions does the nonlinear system of equations graphed below have?

Answers

the answer is d.three

Equations of parallel lines

Answers

Answer: c

Step-by-step explanation:

In order to be parallel, the slope must be the same. This means slope is 2

Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11

meaning b is -11

so the equation should be y=2x-11

Find the surface area of the rectangular prism shown below.
6 in.
(15 in
12 in

Answers

Answer:

684 in^2

Step-by-step explanation:

SA = 2 ( l*w + l*h+ w*h)

SA = 2( 6*15 + 6*12+ 15*12)

     = 2( 90+72+180)

    = 2(342)

    = 684 in^2

What are biofertilisiers​

Answers

Answer:

Step-by-step explanation:

biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals

Answer:

Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.

Step-by-step explanation:

Hope this helps

What am I doing wrong? I've tried every conceivable answer, I thought I was good at this type of math but this program keeps proving me wrong. Please help.

Answers

Answer:

Step-by-step explanation:

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers, If Anju's scores in four successive rounds were -14, 15, -11 and 20. What was her total at the end.

Answers

Answer:

10

Step-by-step explanation:

-14+15 leaves a positive 1

-11+20 leaves a positve 9

add.

graph: y=-4sin(2x)+1 where the x axis starts at 30​

Answers

Answer:

We want to graph:

y = -4*sin(2*x) + 1

Such that the x-axis starts at x = 30

This is trivial to do if we use a program to graph or if we graph by hand, here we just need to draw the x-axis such that it crosses the y-axis at the point (30, 0)

Then let's graph the equation in that axis, we will get an image like the one you can see below.

PLS ANSWER ILL GIVE BRAINLIEST
A t-shirt that usually costs p dollars is available at a discount. Drag and drop two expressions to show the correct price of the shirt in the spaces provided.


0.3p 0.7p 0.93p 0.97p 1.3p


the price of the t-shirt after 30% discount:

the price of the t-shirt after 70% discount:

Answers

Answer:

The price after a 30% discount would be 0.3p and the price after a 70% discount would be 0.7p.

Step-by-step explanation:

When you turn the percentages into decimals, 30% will be changed into 0.3, and when you change 70% into a decimal, it would be 0.7 (Move the decimal at the end two spaces over to the right like this: 70.% -> 7.0 -> 0.7)

Change the following algebraic expressions to the statement in words: i. 3mn +7 ii. xy + (x+y)

Answers

Answer:

i) 3*m*n + 7

Then we can write the first term as:

"3 times the product between two numbers"

Where the product of two numbers is m*n

And after that we need to add 7, then the complete sentence is:

"3 times the product between two numbers, increased by 7"

ii) x*y + (x + y)

The first part, x*y, can be written as:

"the product of two numbers"

where the two numbers are the number x and the number y.

After that, we add the sum of these two numbers, then the complete sentence can be:

"the product of two numbers, plus the sum of these two numbers"

cabe nur
- -
3,7,10,11,27-22
f 1,3,6.10.15...
Cube numbers.
a to Write down the axt
Ence
bo se quences:
4 terms in each of the
โถ
og h, 2.10.13.16.19 -
Write down the next 4 numbers in 4,7,10,13,16,19

Answers

Answer:

22, 25, 28, 31

Step-by-step explanation:

The question is mixed up. The only clear question is:

Given:

4, 7, 10, 13, 16, 19

Required

Write the next 4

Notice that the rule of the above sequence is to "add 3". So, the next 4 numbers is gotten by adding 3 to the previous number on the sequence.

The next 4 are:

[tex]19 + 3 = 22[/tex]

[tex]22 + 3 = 25[/tex]

[tex]25 +3 = 28[/tex]

[tex]28 + 3= 31[/tex]

Please help, how do you write 4.06 in word form and expanded form?

Answers

Answer:

four and six one hundredths

406/100

4.06 = (4 x 1) + (0/10) + (6/100)

Pleaseeeeee help meee

Answers

Answer:

Surface area of sphere = 1,344.8 m² (Approx)

Step-by-step explanation:

Given:

Volume of sphere = 1,476π m³

Find;

Surface area of sphere

Computation:

Volume of sphere = [4/3]πr³

1,476π = [4/3]πr³

1,476 = [4/3]r³

[1,476][3/4] = r³

1,107 = r³

r = 10.35 m (Approx.)

Surface area of sphere = 4πr²

Surface area of sphere = 4(3.14)(10.35)²

Surface area of sphere = 4(3.14)(107.1225)

Surface area of sphere = 1,345.45

Surface area of sphere = 1,344.8 m² (Approx)

which of the following are good questions to ask when trying to understand a problem A is the variable always positive negative or either B what is the variable C what is a logical name for a variable D does my guess satisfy the equation E what are the units of the variable F now should i present

Answers

A

D

E

F

When solving a problem we must understand what variable represents as well as its units.We must also understand what types of numbers it could be,whether positive,negative,decimals,fractions,etc

The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)

a
{−1, 1, 3}

b
{−1, −1, 1, 3}

c
{−4, −2, 2, 2}

d
{−4, −2, 2}

Answers

The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.

Given the set of relations below:

R = {(3,-2), (1,2), (-1,-4), (-1,2)}

The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.

Answer

{-1,1,3}

Dan buys a car for £1700. It depreciates at a rate of 4% per year. How much will it be worth in 4 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

1428

Step-by-step explanation:

1700x0.04=68 (How much the car will decrease per year)

68x4=272 (How much the car will decrease in four years)

1700-272=1428 (Value of car in four years)

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

( 4^ 5 4^ 1 4 4^ 1 2 )^ 1 2 Which expression is equivalent to root(15, 4 ^ 5); sqrt(2 ^ 5) 2

Answers

Answer:

All I know is it isn’t B. Sqrt 2^5

Step-by-step explanation:

Solve. Please hurry, I am on a timer.!! I need your help QUICK!
A. -2 1/4
B. -8 2/3
C. -9 1/4
D. 2 1/4

Answers

Answer:

-9 1/4

Hope that this help!

Let a and b be real numbers where a 0. Which of the following functions could represent the graph below?


f(x) = x(x – a)3(x – b)3
f(x) = (x – a)2(x – b)4
f(x) = x(x – a)6(x – b)2
f(x) = (x – a)5(x – b)

Answers

Answer:

D

Step-by-step explanation:

D on edg

2 x 2 + 7 x − 10 and x-5 in standard form

Answers

2x2 = 4 + 7 = 11 -10 = 1 x 5 = 5

Find the measure of angle 1
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

∠ 1 = 128°

Step-by-step explanation:

∠6 = 7x + 3                                 [ vertically opposite angles ]

∠6 = 4x + 24                               [ corresponding angles ]

7x + 3 = 4x + 24

7x - 4x = 24 - 3

3x = 21

x = 7

∠1 + ( 4x + 24 )= 180°                           [ straight line angles ]

∠1 + 4 ( 7 ) + 24 = 180°                      [ Substituting x = 7 ]

∠ 1 + 28 + 24 = 180°

∠ 1 = 180 - 24 - 28

∠ 1 = 128°

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