The width of a rectangle is 8 cm less than the length of the rectangle.
The perimeter of the rectangle is 54 cm.
Find the area of the rectangle

Answers

Answer 1

Answer:

166.25 cm²

Step-by-step explanation:

W = L - 8

2W + 2L = 54

2(L - 8) + 2L = 54

2L - 16 + 2L = 54

4L - 16 = 54

4L = 70

L = 17.5, W = 9.5

A = 17.5 x 9.5 = 166.25 cm²


Related Questions

Find the area of the figure. If needed, round to the nearest tenth.

Isosceles trapezoid
An isosceles trapezoid with bottom base length of 14 feet, top base of 7 feet, and height of 6 feet.
a.
63 sq. ft
b.
27 sq. ft
c.
49 sq. ft
d.
126 sq. ft


Answers

Answer:

a. 63 ft²

Step-by-step explanation:

A= 1/2(b1+b2)h

b1= 14 ftb2= 7 fth= 6 ftA= 1/2(14+7)*6= 63 ft²

Answer:

[tex]63 {ft}^{2} [/tex]

Answer A is correct

Step-by-step explanation:

[tex]area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (7 + 14) \times 6 \\ = \frac{1}{2} \times 21 \times 6 \\ = \frac{126}{2} \\ = 63 {ft}^{2} [/tex]

hope this helps

ahh please help me with this question!!!!

Answers

Answer: B. 2∛3

Step-by-step explanation:

[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.

                                                               24

                                                               /  \

                                                              2  12

                                                                  /  \

                                                                2    6

                                                                      /  \

                                                                    2    3  

From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.

We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).

Our final answer is 2∛3.

sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and dependent variables

Answers

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

Which statements are true? Check all that apply. Magnitude is never a negative value. The magnitude of –1.9 is |–1.9| which is 1.9. The absolute value of a number is greater than its magnitude. The numbers –4 and 4 have the same magnitude. The magnitude of Negative two-thirds is less than the magnitude of Two-thirds.

Answers

Answer:

A, B, D

Step-by-step explanation:

The options are:

A. Magnitude is never a negative value

This is true because the magnitude is only a representation of the numerical value of a number. It is the distance of the number from the 0 point on the number line. It is the absolute value of a number.

Hence, the polarity of the number is not necessary.

B. The magnitude of –1.9 is |–1.9| which is 1.9

This is true because they have the same numerical value.

C. The absolute value of a number is greater than its magnitude

This is false because absolute value and magnitude of a number are the same.

D. The numbers –4 and 4 have the same magnitude

This is true. They have the same absolute value, hence, they have the same magnitude.

E. The magnitude of -2/3 is less than the magnitude of 2/3

This is false as already explained in C above.

Answer:

a b d

Step-by-step explanation:

In A, tangent HF and chord EG intersect to form ZHEG. Find mZHEG.
A. 118°
B. 236°
C. 242°
D. 3540
Please select the best answer from the choices provided
B
D

Answers

I think it B or D they both gave me answers

Answer:

A.

Step-by-step explanation:

solve the equation x square - 9+20=0​

Answers

Answer:

[tex]\sqrt{11i}[/tex]

Step-by-step explanation:

x^2-9+20 = 0

x^2+11 = 0

x^2 = -11

x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]

Emily and Rachel had lunch at the mall. Emily ordered two slices of pizza and three cookies and her bill was $8. Rachel ordered one slice of pizza and four cookies and her bill was $9. What was the price of one slice of pizza? What was the price of one cookie?

Answers

Answer:

one slice of pizza: $1

one cookie: $2

Step-by-step explanation:

Emily: two pizzas (1+1)+three cookies (2+2+2)= 8

Rachel: one pizza (1)+four cookies (2+2+2+2)= 9

can i plz get brainilest? :)

Answer:

piza 1 buck

cooky 2 bucks

Step-by-step explanation:

i did not look at the other answer...

lol i copied the other answer

HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!
−→− bisects ∠DGF, m∠DGE=53∘. Find m∠DGF.

1. what is the measure of angle DBF? (image included below)

Answers

Answer:

Measure of angle DBF = 106°.

Step-by-step explanation:

Given in the question,

m∠DGE = 53°

and line segment GE is the angle bisector of ∠DGF.

Since segment GE is the angle bisector of ∠DGF that means it divides the angle DGF into two equal parts.

Therefore, m∠DGE ≅ m∠FGE

m∠DBF = m∠DGE + m∠FGE

m∠DBF = 2(m∠DGE)

             = 2(53)°

             = 106°

Therefore, measure of angle DBF = 106°.

Ay is any one down to work together on this? Not just this question but the whole unit of geometry

the lines shown below parallel. if the green line has a slope of -1, what is the slope of the red line

Answers

Answer:

-1

Step-by-step explanation:

Parallel lines have the same slope

If the green line has a slope of -1, the red line has a slope of -1

Define polynomial with some examples.

Answers

Answer:

A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.

Step-by-step explanation:

EXAMPLES :

x2 + 2x +5 Since all of the variables have integer exponents that are positive this is a polynomial.5x +1 Since all of the variables have integer exponents that are positive this is a polynomial.(x7 + 2x4 - 5) * 3x Since all of the variables have integer exponents that are positive this is a polynomial.5x-2 +1 Not a polynomial because a term has a negative exponent3x½ +2 Not a polynomial because a term has a fraction exponent(5x +1) ÷ (3x) Not a polynomial because of the division(6x2 +3x) ÷ (3x) Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation) [Polynomial Equation- is simply a polynomial that has been set equal to]
Polynomial

An algebraic expression is of the form of a0+a1x+a2x2+.........+anx^n,where n is positive integer and the coefficients a0,a1,A2,.......an are constants with an is not equal to 0 is called a polynomial of degree.

A polynomial in X is denoted by p(x),q(x),g(x) etc.

Examples:

p(X)=x^2-3x+2 is a polynomial in X.

Similarly,the polynomial in two variables X and y are generally denoted by p(x,y) and polynomial in three variables is denoted by p(x,y,z).

Hope it helps

Good luck on your assignment...

Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

B)

D)

Step-by-step explanation:

B) 1 and 13 are x intercepts so true

D) greatest profit is when price is 7; after that profit is getting smaller because function is decreasing

What’s 4x^2+28x+24 factored?

Answers

Answer:

[tex](4x + 4)(x + 6) \\ [/tex]

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 24 \\ 4 {x}^{2} + 24x + 4x + 24 \\ 4x(x + 6) + 4(x + 6) \\ (4x + 4)(x + 6)[/tex]

hope this helps you.

brainliest appreciated

good luck!

have a nice day!

Need some help with a few consecutive integer word problems, tysm if you do :)

The sum of three consecutive odd integers is -57. Find the integers.

A. -19, -17, -15

B. -19, -21, -23

C. -21, -19, -17

D. -21, -23, -25


Three times the greater of two consecutive odd integers is 5 less than 4 times the smaller. Find the integers.

A. 8, 9

B. 7, 9

C. 11, 13

D. 3, 5

Five times the smaller of two consecutive odd integers is 11 more than 4 times the greater. Find the integers.

A. 13, 15

B. -7, -5

C. -7, -9

D. 19, 21

Answers

Answer:

Answers are: A,D, and  A

Step-by-step explanation:

I hope these are right

a car is drawn with a scale of 1 in: 4 yards. find the actual length of the car if the drawing if the car has a length= 3in

Answers

Answer:

So since you have the ratio of 1 : 4

we need to find 3 : x

since 1*3 = 3. We multiply all by 3

4*3 =12.

Answer is 12

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.

What is the median of the data? *

Answers

Answer:

15

Step-by-step explanation:

First you have to order the numbers from least to greatest

13, 13, 15, 20, 24

Then you find the value in the middle.

You have five numbers so your middle value is the number between the the two numbers on the left and the two numbers on the right which is 15.

Wendy and her friend Sandra went to dinner. Their total food bill was $25.00. The tax was 7%. How much was the tax? How much was the bill including the tax?

Answers

Answer:

the answer is 175

Step-by-step explanation:

you will do 2500*7/100

A piece of rope measuring 4m is cut into 8 equal lengths. How long will each piece be?​

Answers

Answer:

each piece will be half a metre long

Step-by-step explanation:

4m into cm is 400cm

400 divided by 8 is 50cm

in metres this would be 0.5m a.k.a half a metre

1. Using the figure below, what is the measure of angle ABE?

Answers

Answer:

see below

Step-by-step explanation:

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ABE and CBD are opposite vertical angles so they have the same measure of angles.

Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)
0 = 4x
8 = 4x
4 = -4x
16 = -4x

Answers

Answer:

8 = 4x OR 0 = 4x

Step-by-step explanation:

I not %100 sure or it could be 0 = 4x

EITHERONE

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 1.x - 3 y - 7 = 2.x - 3 y + 7 = 0 3. 3 x - y - 7 = 0

Answers

Answer:

x- 3y - 7=0

Step-by-step explanation:

the line in the slope-intercept form:

y= mx+b

m= 1/3 and point given (1, -2) by using which we find y-intercept:

b= y-1/3xb= -2- 1/3*1= - 7/3y= 1/3x- 7/3

General form of a line is: ax+by+c= 0

converting:

y= 1/3x- 7/3  ⇒  3y= x- 7  ⇒  x- 3y - 7=0

Answer:

x- 3y - 7=0

Step-by-step explanation:

Mark me BRAINLIEST please

plz answer as fast as possible

What is the value of 3/7 * 0.1 / 5/21?

Answers

Answer:

B

Step-by-step explanation:

3/7 * 1/10 * 21/5

=63/350

=9/50

EB and DA are diameters of circle Y. What is the measure of arc EDC?

Answers

Answer:

Option (D). 110°

Step-by-step explanation:

Since EB and AD are diameter,

[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°

[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)

And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]

180° = 40° + [tex]m(\widehat{BCD})[/tex]

[tex]m(\widehat{BCD})[/tex] = 140°

Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]

[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]

[tex]m(\widehat{BC})[/tex] = 70°

From equation (1),

[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{EDC}})[/tex] = 180°- 70°

Therefore, measure of arc(EDC) = 110°

Option (D) will be the answer.

Carol is y years old and her daughter is 25 years younger.find carols present age if sum of ages in 6 years time is 75

Answers

38? Present 44 in 6 years
Carol’s present age = y years
Her daughter’s present age = 25 years

After 6 years
Carols age =y+6
her daughters age=y-25+6=y-31

According to the condition
y+6+y-31
2y-13 = 75
Transporting -13
2y=75+13
2y=88
y=88/2
y=44




***please mark my answer as brainlist****

A triangle on a coordinate plane is translated according to the rule T-8,4(x,y). Which is another way to write this rule

Answers

Answer:

(x, y) → (x + 8, y + 4)

Step-by-step explanation:

Answer: C

Step-by-step explanation

Just took the test

answer quick pls ill give 10

Answers

Answer:

60

Step-by-step explanation:

360-95-120-85=60

Please Help ASAP!
Select the situations that represent a function. (A,B,C,D)

Answers

Answer:

A and B both have an input that has multiple outputs so the answer is C and D.

1⁄7 + 1⁄2 + 3⁄4 =jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answers

Answer:j=39/28 or 1.392857 or 1 11/28

Step-by-step explanation:

I assume that you are looking for j

1⁄7 + 1⁄2 + 3⁄4=j

9/14+3/4

39/28

A high school graduating class is made up of 351 students. There are 73 more girls than boys. How many boys are in the class?

Answers

Answer:

let x be the number of boys

given, the number of girls are 73 more than the number of boys, meaning number of girls is x + 73

also given is that x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students

let x be the number of boys.

Given, that the number of girls is 73 more than the number of boys, meaning the number of girls is x + 73

also given is that

x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students.

What is the term for graduating high school?

To graduate means to successfully complete your schooling, to become "a graduate." When you graduate from high school, you become a high school graduate and congratulations are in order. A graduate is someone who has received a degree from a school.

Learn more about graduating high school here: https://brainly.com/question/14862649

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the base of a pyramid is equilateral triangle of side 8cm long. If the altitude of the pyramid is 15cm ,find it's volume​

Answers

Answer:

V = 80√3 cm³

Step-by-step explanation:

V = Ab×h/3

Ab = l²√3/4 = 64√3/4 = 16√3 cm²

V = 16√3cm²×15cm/3

= 16√3cm²×5cm

= 80√3 cm³

Answer:

138.56cm2

Step-by-step explanation:

B.a×hx1/3

B.a=1/2×8×8sin60=27.71cm2

1/3×27.71×15=138.56cm2

Find the slope of this graph.

Answers

Answer:

WERE THE GRAPH

Step-by-step explanation:

Where is the graph we’re supposed to look at?
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