The perimeter of a rectangle is 32 cm. The width is 7 cm. What is the area of the rectangle? Will mark brainliest.

Answers

Answer 1

Given :

[tex]\begin{lgathered}\bullet\:\:\textsf{Perimeter of reactangle = \textbf{32 cm}}\\\bullet\:\:\textsf{Width = \textbf{7 cm}}\end{lgathered}[/tex]

[tex]\rule{130}1[/tex]

Solution :

[tex]:\implies\sf Perimeter\:of\: rectangle = 2 (Length + Breadth) \\\\\\:\implies\sf 32 = 2 (l + 7)\\\\\\:\implies\sf 32 = 2l + 14\\\\\\:\implies\sf 32 - 14 = 2l\\\\\\:\implies\sf 2l = 18\\\\\\:\implies\underline{\boxed{\sf Length = 9\:cm}} [/tex]

[tex]\rule{170}2[/tex]

[tex]\dashrightarrow\sf\:\:Area\:of\: rectangle = Length \times Breadth\\\\\\\dashrightarrow\sf\:\: Area\:of\: rectangle = 7\:cm \times 9\:cm\\\\\\\dashrightarrow\:\:\underline{\boxed{\sf Area\:of\: rectangle = 63\:cm^2}}[/tex]

[tex]\therefore\:\underline{\textsf{The area of reactangle is \textbf{63}}\:\sf{cm^2}}.[/tex]

Answer 2

Answer:

Area of the rectangle is 63 cm².

Step-by-step explanation:

Given :-

The perimeter of a rectangle is 32 cm.The width is 7 cm.

To find :-

The area of the rectangle.

Solution :-

Consider,

Length of the rectangle = x cm

width = 7 cm

Formula used :-

[tex]{\boxed{\sf{Perimeter of rectangle=2(Length+breadth)}}}[/tex]

According to the question ,

2(x+7) = 32

→ x+7 = 32/2

→ x +7 = 16

→ x = 16-7

→ x = 9

★ Length = 9 cm

Area of the rectangle ,

= length × Breadth

= 9 × 7 cm²

= 63 cm²

Therefore, the area of the rectangle is 63 cm².


Related Questions

What’s the Y-intercept of the parabola with the equation y= x^2 - 4x-10?

Answers

Answer:

-10

Step-by-step explanation:

Plug in 0 to the equation ('cause y-intercept is found when "x" =0), and u get -10.

The constant is typically the y-intercept.

Given: g (x) = StartFraction 1 Over x + 2 EndFraction and h (x) = 3 x Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.

Answers

Answer:2/3 is the same

Step-by-step explanation:

Which number is closest to √18

Answers

Answer:

4.2 or 4

Step-by-step explanation:

√18 = 4.24264068712

or 4.2

or 4

janine estimated that the square of 4.1 is approximately 16. Justify her estimate and then find the exact value

Answers

Answer:

16.81

Step-by-step explanation:

Given:

Number = 4.1

Find:

Square of the given number

Computation:

[4.1]²

⇒ [4.1] × [4.1]

16.81

If Janine square 4.1 by assuming (round off) 4 as an integer number then gets 16, which means Janine's estimate would be considered appropriate.

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday? 15 h + 9 less-than-or-equal-to 110 15 h + 9 greater-than-or-equal-to 110 9 h + 15 greater-than-or-equal-to 110 9 h + 15 less-than 110

Answers

Answer:

The answer is  15 h + 9 greater-than-or-equal-to 110

Step-by-step explanation:

For us to represent the inequality of the equation for the number of hours worked. let us identify the parameter involved the.

daily earnings in tips = $15

normal daily pay=>$110

number of hours worked is represented by h

Hence the equation for the pay is

15 h + 9 >=110

Note: we use the >= symbol in the equation because $110 is the minimum amount Serena will always receive any amount she must receive must always be greater than $110

Answer:

c just took the test 100 % sure

Step-by-step explanation:

Find m 15 points to correct answer!

Answers

Answer:

Hello!

Step-by-step explanation:

you know 3x = 4x-24

simplify

x=24

so thats x

now idk what you want me to find but

3x = 72

Ok, now I understand the question, mRST = 72

who discovered America?

Answers

Answer:

Christopher Columbus

Step-by-step explanation:

According to the hystoriartors:

Christopher Columbus

Answer:

[tex]Christopher[/tex] [tex]Columbus[/tex] [tex]and[/tex] [tex]Leif Eriksson[/tex]

Step-by-step explanation:

[tex]we[/tex] [tex]celebrate[/tex] [tex]columbus[/tex] [tex]day[/tex]

Columbus Day is for Christopher Columbus, who had discovered America.

Leif Eriksson was the first one who found America. While most people think it might have been Columbus. In conclusion, Leif Eriksson discovered America (well, Columbus gets some credit too for finding America.)

The answer to your question: Leif Eriksson, or Columbus.

Leif Eriksson found America Half a millennium before Columbus.

So let’s just take it as... that they both were one of the ones to find America :)

Hope this helps!

subtract -11 from -7 ​

Answers

Answer:

[tex]\Huge \boxed{4}[/tex]

Step-by-step explanation:

-11 is subtracted from -7.

Subtracting a negative number from another number means there will be a minus sign followed by another negative sign from that negative number.

[tex]\Rightarrow -7-(-11)[/tex]

Distribute negative sign.

[tex]\Rightarrow -7+11[/tex]

Adding.

[tex]\Rightarrow 4[/tex]

change 25/6 to mixed fraction​

Answers

Answer:

[tex]4\frac{1}{6}[/tex]

Step-by-step explanation:

To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is [tex]4\frac{1}{6}[/tex].

Answer:

4\frac{1}{6}      

;-)

Step-by-step explanation:

plz crown   'o'

Find the value of x
Pls help me :(

Answers

Answer:

i think is 10

Step-by-step explanation:

.............e

Grace needs 16 ribbons that are each 13.2 inches long for the craft she is making. How much ribbon does Grace need in all?​

Answers

Answer:

211.2 inches of ribbon

Step-by-step explanation:

She needs 16 pieces of 13.2 inch ribbons.

That means that Grace needs:

16*13.2

=211.2 inches of ribbon.

Hope this helps!

211.2 inches of ribbon

Find the ratio in which y-axis divides the line segment joining the points A(5, -6), and B (-1, -4). Also find the coordinates of the point of division.

Answers

Answer:

Something like this

Step-by-step explanation:

distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32

slope = 2/-6 = -1/3

distance (-1,-4) to (0, -4.63)

√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18

6.32 - 1.18 = 5.14

1.18 : 5.14

Answer:

ratio 5:1

coordinates (0,-13/3)

Step-by-step explanation:

let any point on y-axis  (0,y)  divides the join of A(5,-6) and B(-1,-4) in the ratio k:1

[tex]0=\frac{-1(k)+1(5)}{k+1} \\or~0=-k+5\\or~ k=5\\\therefore ~y-axis~ divides ~A,B~in~the~ratio~5:1\\y=\frac{5(-4)+1(-6)}{5+1} =\frac{-26}{6} =-\frac{13}{3}[/tex]

so coordinates of point of intersection are (0,-13/3)

Carlos Gonzales, the left fielder for the Colorado Rockies, a major league baseball team, played in 135 games in 2012 and hit 22 home runs. If he plays a total of 1075 games in his career, approximately how many home runs he will hit.

Answers

Answer: About 175 homeruns

Step-by-step explanation:

For every 135 games played, he hit 22 home runs, which makes an average of 1 home run every 6.136 games. Take that number and divide 1075 by it.

1075 / 6.136 = about 175.

Carlos Gonzales hits 175 runs in his total of 1075 games in his career.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Number of games played by Carlos Gonzales = 135.

And runs hit by Carlos Gonzales = 22 runs.

To find the runs hit by Carlos Gonzales in 1075 games,

Use ratio property,

In 135 games = 22 runs hit,

in 1 game = 22 / 135 runs hit,

In 1075 games = (22/135)x1075 = 175.18 = 175 (approx)

The runs hit by Carlos Gonzales in 1075 games is 175.

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PLEASE HELP WILL MARK BRAINLIEST! Find the value of x. A. 40 B. 95 C. 45 D. 22.5

Answers

Answer:

D. 22.5

Step-by-step explanation:

By the property of intersecting tangent and secant outside of the circle, we have:

x° = 1/2[(4x+5)° - 50°]

2x° = [(4x+5)° - 50°]

2x° = (4x-45)°

2x = 4x - 45

45 = 4x - 2x

45 = 2x

x = 45/2

x = 22.5

It cost 13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets.what was the cost for each ticket

Answers

Answer:

Each ticket cost 4.05

Step-by-step explanation:

Start by finding what is 60% of 13.50 = 0.6 * 13.50 = 8.10

since this is what both tickets cost, then one ticket for the theater was half of this value, that is: 8.10 / 2 = 4.05

What are the coordinates of the point 3/4 of the way for A to B

Answers

Answer:

Coordinates of the point P are [tex](-\frac{29}{7},-1)[/tex]

Step-by-step explanation:

If a point P(x, y) divides the line AB into the ratio of m : n, coordinates of this point will be,

x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

y = [tex]\frac{my_2+ny_1}{m+n}[/tex]

In the given question m : n = 3 : 4

And the coordinates of A and B are (-5, -4) and (-3, 3) respectively.

x = [tex]\frac{3(-3)+4(-5)}{3+4}[/tex]

x = -[tex]\frac{29}{7}[/tex]

y = [tex]\frac{3(3)+4(-4)}{3+4}[/tex]

y = -1

Therefore, coordinates of the given point P are [tex](\frac{29}{7},-1)[/tex].

3 less than g is greater than or equal to 17

Answers

Answer:

Step-by-step explanation:

g - 3 >= 17

g >= 20

The inequality for the given statement 3 less than g is greater than or equal to 17 can be represented as g - 3 ≥ 17.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given statement is,

3 less than g is greater than or equal to 17.

To write inequality for the Statement,

Let g is variable,

3 less than g =  g - 3

g -3 is greater than or equal to 17,

Implies that,

g - 3 ≥ 17.

The required inequality is g - 3 ≥ 17.

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why do you need definitions to write proofs?

Answers

Answer:

BECAUSE YOU ARE TRYING TO BE CONVINCE THAT THE PROOF IS TRUE,AND IT IS EASIER TO JUSTIFY

Step-by-step explanation:

Are these expressions equivalent? Explain why or why
not.
42 + 35
76+5)

Answers

No, because 42+35 equals 77 and 76+5 equals 81 which are two different numbers

In the matrix shown, which element is A1,2?

Answers

Answer:

B. 2

Step-by-step explanation:

a1,1=1

a1,2=2

a1,3=3

a2,1=4

a2,2=5

a2,3=6

a3,1=7

a3,2=8

a3,3=9

The expression a₁₋₂ represents the term present in the first raw and the second column which is 2. Then the correct option is B.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The dimensions of a matrix are the product of the number of raw and the number of columns, which is known as a dimension of a matrix.

The matrix is given below.

[tex]\rm A = \begin{bmatrix}1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\end{bmatrix}[/tex]

The 'i' represents the number of raw and 'j' represents the number of columns. Then the matrix is given as,

In the grid, a₁₋₂ addresses the term present in the primary crude and the second segment which is 2. Then, at that point, the right choice is B.

More about the matrix link is given below.

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Ernie is interested in going to see other of the top-earning movies. Assuming he pays the average ticket cost, how much would it cost for him to go see movies B, D, and E?

Answers

Answer: The sum of the average ticket prices for movies B, D and E is $25.75.

Step-by-step explanation:

$7.57 + $8.46 + $9.72 = $25.75.

If 1 inch on a map represents y miles, how many miles are represented by x feet on the same map?​

Answers

Answer:

1 inch represents 1 mile

66330 inches represent 1 mile

Convert to feet = 5280 feet for every mile

So if the map shows y = 1 1/4  then this means 1 1/4 miles

which would make the decimal of y = 1.25

which makes x = 5280 x 1.25 = 6600

We can just convert to decimalization the ' length of y in inches' and multiply by 5280 to find our answer.

= y * x   = (1 .) + additional)  * 1 * 5280

Not forgetting the above decimal if under 2 inches.

Or in any measure including if over 2 inches we can use

= measure of y  * 5280  = (  ) answer

If [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.

What is map ?

A map is a visual representation of an entire area or a part of an area, typically represented on a flat surface.

What is mile?

Mile is a measure of length, in one mile there 1.6 kilometers.

We  have,

[tex]1[/tex] inch [tex]=y[/tex] miles

Then,

[tex]x[/tex]  feet will represent miles on map will be as

We know that,

[tex]1[/tex] feet [tex]=12[/tex] inch

So,

According to question,

Miles represented by [tex]x[/tex] feet [tex]=12y[/tex] miles

Because according to the above given statement we came to know that in [tex]1[/tex] feet there are [tex]12[/tex] inches.

Hence, we can say that if [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.

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NEED HELP ASAP
algebra 2​

Answers

Answer:

x = sqrt(17)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2

Let the unknown side be x

8^2 + x^2 = 9^2

64 + x^2 = 81

Subtract 64 from each side

x^2 = 81-64

x^2 =17

Taking the square root of each side

x = sqrt(17)

Answer:

x = √17

Step-by-step explanation:

Your question have a right triangle.

So, we could use the Pythagorean Theorem.

Pythagorean Theorem is a² + b² = c².

So, 8² + n² = 9².

8² is 64, and 9² is 81.

So, 'n' is 81 - 64.

Let's see... 81 - 64 is 17.

So, It is √17.

Because when you use the Pythagorean Theorem, it is 8² + (√17)² = 9².

Otherwise, 64 +  (√17)² = 81.

And, √17 is 4.12 when rounding to a hundredth.

Hope it helps!

Bye!

Three fair, standard six-sided dice are rolled. What is the probability that the sum of the numbers on the top faces is 18? Express your answer as a common fraction.

Answers

Answer: 1/216

Explanation:

There is only one way to get a sum of 18 and that is rolling three '6's to get 6+6+6 = 18.

There are 6*6*6 = 216 different ways to roll three dice.

Divide the two values to get 1/216

A 5 gram ball has a volume of 2.5 milliliters. What is the density of the ball?

Answers

Answer:

2gramm/millimeters

Step-by-step explanation:

From the question we were given 5

gram ball with a volume of 2.5 milliliters.

Then What is the density of the ball?

Density of a substance is the mass of the substance per it's unit volume

It can be expressed below as

Density= mass/ volume

Mass= 5gram

Volume= 2.5millimetre

Then substitute we have

Density=5/2.5

=2g/mm

Therefore, density of the ball is 2gramm/millimeters

-0.38 repeating written as a fraction is _____. -7/18 2/5 -15/36

Answers

Answer:

  -7/18

Step-by-step explanation:

You know that 8/9 = 0.888.... repeating, so this value is effectively ...

  [tex]-0.3\overline{8}=-\left(\dfrac{3}{10}+\dfrac{8}{90}\right)=-\dfrac{3(90)+10(8)}{(10)(90)}=-\dfrac{350}{900}=\boxed{-\dfrac{7}{18}}[/tex]

__

Of course, you can use your calculator to determine which answer choice has the given decimal equivalent.

Which number is greater -4 or 8

Answers

Answer:

8

Step-by-step explanation:

think about this: which number has the bigger distance from 0 on a number line.

-4  -3  -2  -1  0  1  2  3  4  5  6  7  8

You can see the distance between -4 and 8. Because 8 is eight spaces away from zero, and -4 is 4 spaces away from zero, we can see that 8 is bigger

The 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.

To compare the numbers -4 and 8, we can use the number line or basic numerical comparison. On the number line, -4 is to the left of 8, indicating that 8 is greater. Additionally, we can verify this by subtracting -4 from 8, which gives us 12 (8 - (-4) = 12). Since 12 is positive, 8 is indeed greater than -4.

In numerical comparison, when a positive number is compared to a negative number, the positive number is always greater. This is because negative numbers are "less than" zero, and positive numbers are "greater than" zero.

In conclusion, 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.

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Which of the following statements is not true concerning the equation x^2 - c = 0 for c > 0 A. A quadratic system in this form can always be solved by factoring. B. This equation is not considered to be a quadratic equation because it is not in the form ax^2 + bx + c = 0 C. The left-hand side of this equation is called a difference of two squares D. A quadratic equation in this form can always be solved using the square root property.

Answers

Answer:

[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]

Step-by-step explanation:

The equation is in the form ax² + bx + c = 0.

x² - c = 0

1x² + 0x + -c = 0

Where : a = 1, b = 0, and c = -c

c > 0

The quadratic equation can always be factored if c is a square number

c can be a square number and the quadratic equation can be solved by using the difference of two squares formula.

x is squared so it can be solved by isolating x on one side by adding c to both sides and using the square root property.

Answer:

[tex]\huge\boxed{Option \ B}[/tex]

Step-by-step explanation:

[tex]x^2 - c = 0[/tex]

This equation is in a quadratic form since:

=> It has the highest power of x as 2. Those equations are quadratic equations in which the highest power of x is 2.

=> However, Those quadratic equation in which b = 0 , and they are like either [tex]ax^2 + c = 0 \ OR \ ax^2-c = 0[/tex], They are called pure quadratic equation.

So, [tex]x^2 - c = 0[/tex] is a quadratic equation.

Evaluate.
3/8 -(-1/12)

Answers

okay so first..

eat a cookie and then you will be come smart

then...

Learn to use a calculator

Then...

Give up and realize that u too stoopid and cant find the answer

Finally...

Gimme da Brainlyest

UwU

oh btw..

If u r still reading this...

the answer is...

知りません

try translating it lol

hint: its da bootifull language of Anime hehe...

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{ \frac{11}{24} }}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{3}{8} - ( - \frac{1}{12} )}[/tex]

We know that , [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \frac{3}{8} + \frac{1}{12} }[/tex]

Take the L.C.M ( Least Common Multiple )

L.C.M of 8 and 12 = 24

⇒[tex] \sf{ \frac{3 \times 3 + 1 \times 2}{24} }[/tex] { 24 ÷ 8 = 3 , ∴ 3 × 3 and 24 ÷ 12 = 2 ,∴ 1 × 2 }

Multiply the numbers

⇒[tex] \sf{ \frac{9 + 2}{24} }[/tex]

Add the numbers

⇒[tex] \sf{ \frac{11}{24} }[/tex]

Hope I helped !

Best regards!

Classify the polynomial by the number of terms
-5x + 13

•monomial
•binomial
•trinomial

Answers

This would be a binomial because there are 2 terms
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