The length of a rectangle is 3 cm longer than its width.
If the perimeter of the rectangle is 42 cm, find its area.

Answers

Answer 1

Answer:

108 cm²

Step-by-step explanation:

Area of a rectangle, A = length, l × width, w

Perimeter of a rectangle = (2 × length) + (2 × width)

42 cm = 2l + 2w

but length = w + 3cm

42 cm = 2(w + 3cm) + 2w

42 cm = 2w + 6cm + 2w

42 cm = 6cm + 4w

4w = (42 - 6) cm

4w = 36 cm

》w = 9cm

》l = w + 3cm = 9cm + 3cm

l = 12 cm

Area = 12 × 9 = 108 cm²


Related Questions

What is the smallest fraction a learner must know in grade 3

Answers

Step-by-step explanation:

Fractions are numbers and can be shown on a number line:

Fractions represent equal parts of a whole object or shape:

Whole numbers can be expressed as fractions: For example: 4 = 4⁄1 and 1 = 4⁄4

5 less than 3 times a number is 7. How would I write this as an equation

Answers

You want to break this down.

“5 less than” means you’ll subtract 5 from something.

That something is “3 times a number.” “3 times a number” means 3•x or 3x, since we’ll use x for that unknown number.

So, “5 less than 3 times a number” means “subtract 5 from 3x”: 3x-5

“Is” means “equals”. So 3x-5= something.

7, well, that’s 7.

So “5 less than 3 times a number is 7” means ”subtract 5 from 3x and set that equal to 7.”

3x-5=7

Answer:

The equation would be 5-3x=7

Step-by-step explanation:

5 less than indicates subtraction, and 3 times a number indicates both values being multiplied with each other, so it's 3x. Hope that helped.

Mary says that 43 is a 2-digit odd number that is composite. Is she correct?

Answers

Yes Mary is correct.
Yes she’s is correct

Ten less than the product of 5 and the difference of a number and one is twice the number. What is the number?

Answers

Answer: 5

Step-by-step explanation:

5(n-1)-10=2n

5n-5-10=2n

5n-2n = 10+5

3n = 15

n = 15/3

n = 5


Find the cube of each number.
8

Answers

Answer:

2 cubed is 8

Step-by-step explanation:

Chow,...!

2 cubed is 8 because 2x2x2=8

mycaliforniapermit.com
i need answeres for this site

Answers

Answer:

this app is for learning not for driving schools also i dont know abth it sry if i soud rude!

this site is for driving schools selection i guess

PLEASE HELP ILL GIVE BRAINLIEST AND POINTS PLEASEE

Answers

Step-by-step explanation:

I think the Answer is option A

How many zeros are in the product of any nonzero whole number

Answers

Answer:

2 zeros for odd numbers less than 10

3 zeros for even numbers less than 10

Step-by-step explanation:

Non-zero whole numbers less than 10 are;

1, 2, 3,4, 5, 6, 7, 8, and 9

The odd numbers include:

3, 5, 7, and 9

The product of 500 and any of these numbers will contain 2 zeros, the ones in the number 500.

On the other hand, the even numbers include;

2, 4, 6, and 8

The product of 500 and any of these numbers will contain 3 zeros of which 2 are the ones in the number 500 and 1 zero is as a result of multiplying 5 by an even number.

jenny can run 4 5/6 miles in 2/3 of an hour how many miles can she run in one hour

Answers

Answer:

29/4 miles

or if simplified, 7 1/4 or 7.25

Help plz this is due late so plz help me

Answers

Answer:

1st option

Step-by-step explanation:

Each exponent inside the bracket is multiplied by the exponent outside , that is

[tex](\frac{2^{5} }{3^{2} )} ^{4}[/tex]

= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

= [tex]\frac{2^{20} }{3^{8} }[/tex]

Select the pie chart that accurately represents Sabrina's variable expenses for the month of June.
Sabrina compiled a list of her variable expenses for the month of June to analyze her spending habits.
June
$327.32
Expense
groceries
fuel and transportation
costs
$103.15
$26.15
clothing
dining out
$122.56
entertainment
$78.16

Answers

Answer:

BOTTOM RIGHT CHART, JUST TOOK THE TEST

Step-by-step explanation:

PLATO

How much money must you set aside at age 40 to accumulate retirement funds of $100,000 at age 65, assuming a rate of interest of 7 percent?

Answers

Answer:

$18,424.92

Step-by-step explanation:

Assuming this is compound interest, we'll have to use this formula

A = P(1 + r)ⁿ

A = Final amount (100,000)

P = Starting amount (?)

r = Rate (.07)

n = Years (?)

65 - 40 = 25

This means you will save for 25 years, making n = 25

So far, our equation looks like this: 100,000 = P(1.07)²⁵

To isolate the variable, P, divide both sides by 1.07²⁵

100,000/1.07²⁵ = P(1.07)²⁵/1.07²⁵

P = 18,424.917752223962

You would need to set aside around $18,424.92 if you want to accumulate $100,000 in 25 years with 7% compound interest rate.

Find the flux of the vector field F = 〈e-z,4z,6xy) across the curved sides of the surface S = {(x,y,z): z= cos y, lys π, 0sxs4} . Normal vectors point upward. Set up the integral that gives the flux as a double integral over a region R in the xy-plane.

Answers

I'll go ahead and assume you meant to say that S is the surface given by

[tex]S = \left\{(x,y,z) \mid z = \cos(y)\text{ with } 0\le y\le \pi\text{ and }0\le x\le4\right\}[/tex]

This immediately gives us a parameterization for the surface,

[tex]\vec r(x, y) = \left\langle x, y, \cos(y)\right \rangle[/tex]

The upward-pointing normal vector to this surface is then

[tex]\vec n = \dfrac{\partial\vec r}{\partial x} \times \dfrac{\partial\vec r}{\partial y} = \left\langle0,\sin(y),1\right\rangle[/tex]

Then the flux of [tex]\vec F(x,y,z) = \left\langle e^{-z}, 4z, 6xy\right\rangle[/tex] across S is

[tex]\displaystyle \iint_S \vec F(x,y,z)\cdot\mathrm d\vec s = \int_0^4\int_0^\pi \vec F(x,y,\cos(y))\cdot\vec n\,\mathrm dy\,\mathrm dx \\\\ = \int_0^4\int_0^\pi \left\langle e^{-\cos(y)},4\cos(y),6xy\right\rangle \cdot \left\langle0,\sin(y),1\right\rangle \,\mathrm dy\,\mathrm dx \\\\ = \int_0^4\int_0^\pi (4\sin(y)\cos(y)+6xy)\,\mathrm dy\,\mathrm dx \\\\ = 2 \int_0^4\int_0^\pi (\sin(2y) + 3xy)\,\mathrm dy\,\mathrm dx = \boxed{24\pi^2}[/tex]

Compare the numbers 6x10-6 to 2x10-8.
Which number has the greater value?
Which number has the lesser value?
How many times greater is the greater number?

Answers

Answer:

6×10-6 have greater value than 2×10-8

Step-by-step explanation:

6×10-6

60-6

=54

And

2×10-8

20-8

=12

Thus, 6×10-6 had the greatest value by 42 more than 2×10-8

6×10-6 have greater value than 2×10-8

The greater value is 600 x 10⁻⁸. And the lesser value is 2 x 10⁻⁸. The number 600 x 10⁻⁸ is 300 times greater number 2 x 10⁻⁸.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Compare the numbers 6 x 10⁻⁶ and 2 x 10⁻⁸.

Then the numbers can be written as,

⇒ 6 x 10⁻⁶ and 2 x 10⁻⁸

⇒ 600 x 10⁻⁸ and 2 x 10⁻⁸

The number  600 x 10⁻⁸ times greater than the number 2 x 10⁻⁸ will be

⇒ 600 x 10⁻⁸ / 2 x 10⁻⁸

⇒ 300

The greater value is 600 x 10⁻⁸. And the lesser value is 2 x 10⁻⁸. The number 600 x 10⁻⁸ is 300 times greater number 2 x 10⁻⁸.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

i need to know how to be an expert in Maths

Answers

Answer:

No one knows how ;(

Step-by-step explanation:

sorry person

Write -3 2/5 as a decimal number

Answers

-3 2/5 is -3.4 as a decimal number

Answer: -3.4

Step-by-step explanation:

[tex]-3\frac{2}{5} \\-\frac{3*5+2}{5} \\-\frac{15+2}{5} \\-\frac{17}{5} \\= -3.4[/tex]

Referring to the figure

find m∠7

Answers

Answer:

the answer for angle 7 is 150 degrees

Step-by-step explanation:

angle 4 is corresponding to angle 30 and it forms a linear pair hence180 degrees-30 degrees =150 degrees

Answer:

∠ 7 = 30°

Step-by-step explanation:

30° and ∠ 7 are alternate exterior angles and are congruent , then

∠ 7 = 30°

which property is illustrated by the following ?
if r = -12, then r - 16 = -28​

Answers

Additive Property of Equality, sometimes called the Addition Property of Equality.

You can add or subtract the same value from both sides of the equation and still maintain the equality.

11. Convert the measurement.
330,000 CL =
_ dal
33,000 dal
33 dal
330 daL
3,300 dal

Answers

Answer:

33 ooo dal answer sir beucase I think so

Step-by-step explanation:

Answer:

330 dal. 330,000/1,000 = 330. hope this helps

Step-by-step explanation:

- Zombie

The points B, C, D and E all lie on the same line segment, in that order, such that the ratio of BC:CD:DEBC:CD:DE is equal to 2:4:5.2:4:5. If BE=44,BE=44, find CD.CD.

Answers

Recta: es una sucesión infinita de puntos. No tiene comienzo ni fin.

Segmento: es una porción de línea definida por sus puntos extremos. Tiene una longitud determinada.

Rayo: es aquella línea que tiene punto de partida en un extremo, pero en el otro se proyecta hasta el infinito. espero que te sirve

Step-by-step explanation:

estellita por favor

Answer:

Answer is 16 i just got it right!

Step-by-step explanation:

When one number is divided by another, the result

Answers

80 is diviser , 240 is dividend and 3 is quotient

Solve the following inequality. Write the solution set using interval notation.
- 2x +22-2
HER
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.)
O B. The solution set is Ø.

(Answer quickly)

Answers

Answer:

[tex] - 2x + 2 \geqslant - 2[/tex]

subtract 2 from either sides:

[tex]( - 2x + 2) - 2 \geqslant - 2 - 2 \\ - 2x \geqslant - 4[/tex]

divide either sides by -2 [ division rule of equality ]

[tex] \frac{ - 2x}{ - 2} \geqslant \frac{ - 4}{ - 2} \\ \\{ \boxed{ \boxed{ x \leqslant 2}}}[/tex]

how to round 11,295 to the nearest ten thousand?

Answers

you round it by looking at the number at the left, if it is higher then 5 it would be 12,000 but if it’s lower then 5 it would be 10,000

Which of the following statements correctly illustrate the addition property of equality?
Check all of the boxes that apply.
If a = b, then a + c = b + c.
ООО
If x = y, then x + 2 = y-2.
If W + 2 = 7, then w + 2-2 = 7-2.
If z-z = 9,then z-**3=9-
DONE

Answers

Answer:

x - y + z = 8

2x +3y -z= -2

3x - 2y -9z = 9

Step-by-step explanation:

[1 - 1  1  8]

[2  3  -1 -2]

[3 -2 -9  9]

Jim is running a race against his best friend Ryan. Jim runs at a rate of 18 miles in 3 hours

Answers

Answer:

Speed of Jim=18miles/3hours=6miles/hour

Explain why a set of points that defines a plane cannot be collinear

Answers

Answer:

Three non-collinear points determine a plane.

Step-by-step explanation:

This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is

Complete the number sentence:
7 2/5 + ___ = 8

Answers

Answer:

3/5

Step-by-step explanation:

7 2/5 + ___ = 8

(As on left side there is 7 2/5 on right side it will be -7 2/5)

=> ____ = 8 - 7 2/5

(Converting - 7 2/5 to improper fraction that is -37/5)

=> ____ = 8 - 37/5

=> ____ = (40 - 37)/5

=> ____ = 3/5

Hence,

3/5 is the answer

(b) 3 hour 45 minute

Answers

Answer:

165 minutes

Step-by-step explanation:

please mark me brainliest please I will follow you

which is small 1.2 or 1.7​

Answers

Answer:

1.2 is less so your answer should be 1.2.

= 1.2

If you're measuring mountains, they're both huge.

If you're measuring green peas, they're both small.

Either way, 1.2 is smaller than 1.7 .

Which of these numbers is the greatest

A. 3,213,213
B. 7.8 x 10^5
C. 6.3 x 10^6
D. 11,014,114

Answers

Answer:

D

Step-by-step explanation:

A= 3,213,213

B= 780,000

C= 6,300,000

D= 11,014,114

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