A scale model of a rectangular living room is 6 3/4 inches by 5 1/2 inches. If 1 inch represents 3 feet of the actual room, find the area of the actual room.

Answers

Answer 1

The actual area of the room after unit conversion will be equal to 334 1/8 feet².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the data mentioned in the question,

Let the length of the room, l = 6 3/4 inches = 27/4 inches

1 inch = 3 feet

27/4 inch = 81/4 feet

Let the width of the room, w = 5 1/2 inches = 11/2 inches

1 inch = 3 feet

11/2 inches = 33/2 feet

Now, use the formula of the area of the rectangle,

A = wl

A =  33/2 × 81/4  

A = 2672/8 feet²

Or, it can be written in mixed fraction form as 334 1/8 feet².

To know more about the area:

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Related Questions

Can you please help me

Solve for x

Answers

Answer:

x = 11°

Step-by-step explanation:

Because of Alternate Exterior Angles, 5x - 12 = 43. Now, let's solve.

=> 5x - 12 = 43

=> 5x = 55

=> x = 11°

Hoped this helped.

Answer:

  x = 11

Step-by-step explanation:

Alternate exterior angles are congruent where a transversal crosses parallel lines. That means ...

  (5x -12)° = 43°

  5x = 55 . . . . . . . divide by °, add 12

  x = 11 . . . . . . . . . divide by 5

-8 = x divided by 4 + 3

Answers

Answer:

x = -44

Step-by-step explanation:

-8 = x/4 + 3

-8 - 3 = x/4 + 3 - 3

-11 = x/4

-11 x 4 = (x/4) x 4

-44 = x

If Mt. Everest was 29,035 ft above sea level in 1999 and has been growing 2.4 inches each year, how tall do you think it should be today?

Answers

Step-by-step explanation:

you basically have to multiply 29,035 by 2021 i think

ans=58,679,735

Step-by-step explanation:

29,035 ft in 1999.

today is 2021. the difference is 22 years.

the growth rate is 2.4 inches per year.

so, in 22 years it grew 2.4×22 = 52.8 in

1 ft = 12 in

52.8 in = 4 ft 4.8 in = 52.8/12 ft = 4.4 ft

so, it should be now 29,039.4 ft above sea level.

I am in desperate need of the answer to this:
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first. Find the measure of the third angle

Answers

Answer:

120°

Step-by-step explanation:

The sum of all angle measurements for the interior of the angle is 180°.

Let the first angle measurement be denoted as "x".

The second angle measurement is twice that of the first, or "2x".

The third angle measurement is six times of that of the first, or "6x".

Set the equation:

x + 2x + 6x = 180

Simplify. Combine like terms. Like terms are terms with the same, as well as same amount of said variable:

(x + 2x + 6x) = 180

(9x) = 180

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 9 from both sides of the equation:

(9x)/9 = (180)/9

x = 180/9 = 20

x = 20

Next, plug in 20 for x for the third measurement:

6x = 6 * (20) = 120°

120° is your answer.

~

What is the difference between a square and a cube?

Answers

Answer:

A square is two dimentional, whereas, a cube is 3d.

Step-by-step explanation:

the first attachment below is a square and the second is a cube

I need help with this question!

Answers

Answer:

y=58

x=32

Step-by-step explanation:

two remote interior angle is congruent, equal, to the exterior angle. so 50+88 is equal to y+86. add the two numbers and set the equations equal to each other. 138=y+86. then subtract 86 from both sides. y=58. knowing that y is 58 we can now solve for x. the interior angles of a triangle always equal 180. 58+90, the right angle, equals 148. 180-148=32 therefor x=32

somebody help please i'll mark brainliest

Answers

Answer:

The answer is B, the second one.

The answer is B I had this one before

how do I solve this QUESTION

Answers

Step-by-step explanation:

just click on the right statement (-_-)

Select all ratios equivalent to 3:6.

A: 6:3
B: 24:48
C: 5:9

Answers

Answer:

B. 24:48

Step-by-step explanation:

3:6 is equivalent to 1:2 which is also equivalent to 24:48.

Order these numbers from least to greatest!

14, |25|, -16, |-2|

Answers

Answer:

-16, [-2], 14, [25]

Step-by-step explanation:

I know the absolute value brackets aren't the same! I couldn't find the straight line on this keyboard! But that would be the order!

What is the greatest common factor of 4 and 6?​

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 = 1, 2 4

6 = 1, 2, 3, 6

both share 2, therefore that's your final answer.

They also share a prime factor (in this case 4's prime number is 2, 6's prime numbers are 2 and 3).

f(x) = 2x2 + 4x – 5

g(x) = 623 – 2x2 + 3

Find (f – g)(x).

A. (f - g)(x) = –6x3 + 4x2 + 4x – 2

O B. (f – g)(x) = -63+ 4x2 + 4x – 8

c. (f - g)(x) = 63

4x2

42 + 8

D. F -

*) = 6x3 + 4x – 2

Answers

Step-by-step explanation:

f(x) = 2x² + 4x - 5

g(x) = 6x³ - 2x² + 3

(f-g)(x) = f(x) - g(x)

= (2x² + 4x - 5) - (6x³ - 2x² + 3)

= -6x³ + (2 + 2)x² + 4x + (-5 - 3)

= -6x³ + 4x² + 4x - 8

Option → B

Find the distance between the origin and the point (-12,5).
A. 12
B. 7
C. 6
D. 13

Answers

Answer:

The answer is 13!!!!........

Answer:

A. 12

Step-by-step explanation:

cus its at -12


(7x4 – 18x3 + 10x2
18x3 + 10x² – 11x + 10) = (x - 2)

Answers

Answer:

6789.....8790654655578

Write the slope intercept form of the equation of the line perpendicular to the graph of 4x-y=12 that passes through (8,2)

Answers

Answer:

y= -1/4x + 4

Step-by-step explanation:

4x-y = 12

4x - 12 = y

Slope = 4

Slope of the perpendicular line: -1/4

Point (8,2)

y-intercept: 2 - (-1/4)(8) = 2 + 2 = 4

10.
Which equation is represented by the graph?



A. y = x^2 − 1

B. y = 2x^2 − 1

C. y= 1/2x^2 + 1

D. y = 2x^2 + 1

Answers

Answer:

A. y = x^2 − 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

7

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

9

8

x

y

2

7

1

1

0

1

1

1

2

7

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

2

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

2

x

y

2

3

1

3

2

0

1

1

3

2

2

3

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

9

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

7

8

x

y

2

9

1

3

0

1

1

3

2

9

hola follow my yeabdagod ​

Answers

Answer:

Hola

Step-by-step explanation:

Answer:

thx sa points

Step-by-step explanation:

have a great day

Find the distance between (4, 8) and (7,4)

Answers

Answer: distance is 5

Step-by-step explanation:

d=√(7−4)2+(4−8)2

d=√(3)2+(−4)2

d=√9+16

d=√25

d=5

What is the size of the angle, below?
please help me

Answers

Answer:

it is an obtuse angle that means it's more than 180°

The size of the given angle is approximately 200°

What is measure of angle?"It is the measurement of the angle formed by the two rays or arms at a common vertex"Angles are measured in degrees using a protractor.

For given question,

We need to find the size of angle.

We know, the sum of all angles on either side of the line is 180°

If we continue the straight line towards right, then the part of the angle above line must be 180°

To find the angle below straight line,

Put the protractor at the vertex of both the line segments and measure the angle.

The angle must be within the range 15° - 25°.

Let the angle below straight line is 20°

So, the total angle is 180° + 20° = 200° (approximate size)

Therefore, the size of the given angle is approximately 200°

Learn more about the size of the angle here:

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Can yall uelp me solve this equation
y + 9 = 2 (x + 5)​

Answers

Answer:

Here is how to solve the problem step by step! :)        https://www.symbolab.com/solver/step-by-step/y%20%2B%209%20%3D%202%20%5Cleft(x%20%2B%205%5Cright)%E2%80%8B?or=input

Step-by-step explanation:

[tex]-2\leq 3x+1[/tex]

Answers

Answer:

[tex]x\geq -1[/tex]

Step-by-step explanation:

I couldn’t figure out how to type your answer out but here is the answer and explanation \/

Select the number that correctly shows the calculation for (-3).

Answers

Answer:

3

Hope it helps you, tell me if im wrong pls, BE SAFE! :D

4. Which of the following equation represent quadratic?
A. The cost of each pen is Php 8.50. How many pens can be bought by Php 850?
B. The length of a field is 2 m more than twice its width and its area is 24 m2.
C. The length of the rectangular room is 3 more than the width and its area is at least 56m2.
D. The length of a wall is 8 m more than its width. If the area of the wall is less than 40 m2.

5. What are the dimensions of the largest rectangular field that can be enclosed with 100 m of wire?
A. 24 m x 26 m
B. 25 m x 25 m
C. 50 m x 50 m
D. 50 m x 25 m​

Answers

Answer:

Step-by-step explanation:

4) B ,  C and  D represents the quadratic equation.

B)  width = w

length = l = 2w + 2

Area  = 24 square m

l *w = 24

(2w + 2)*w = 24

2w*w + 2w = 24

2w² + 2w - 24 = 0

Divide the entire equation by 2

w² + w  - 12 = 0

C) width = w

Length = w + 3

Area = 40 m²

(w + 3 ) *w = 56

w*w + 3*w = 56

w² + 3w  - 56 = 0

D) Width = w

Length = w + 8

Area = 40

(w + 8)*w = 40

w² - 8w - 40 = 0

5)  B) 25 * 25

25 *25 gives the largest area that has its perimeter 100

Put the given function into vertex form. Fill in the blanks to complete the function below.

Function: f(x)=x2−6x+13

Vertex Form: f(x) = (x
)2

Answers

I’m sorry if this isn’t much help but i think it’s: Y=(x+3)2−22

This table represents the number of inches, n, a plant grows after m, months in a new pot.

When graphed, all of the points in the table lie on the same line.

Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?

Question 1 options:

Slope = -2, y-Intercept = -4


Slope = 1, y-Intercept = 2


Slope = -1, y-Intercept = 2


Slope = 2, y-Intercept = -4

Answers

The slope of the line is 1 and the y intercept is 2.

The linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

Let n represent the number of inches a plant grows after m months.

Taking two points (0, 2) and (6, 8), the equation is given by:

[tex]n-n_1=\frac{n_2-n_1}{m_2-m_!} (m-m_1)\\\\n-2=\frac{8-2}{6-0}(m-0) \\\\n=m+2[/tex]

Therefore the slope of the line is 1 and the y intercept is 2.

Find out more at: https://brainly.com/question/13911928

For each point, identify the axis or quadrant where the point is located.

Drag and drop the choices into the boxes to complete the table.

x-axis y-axis Quadrant I Quadrant II Quadrant III Quadrant IV

Answers

Answer:

5,0 gose in the x axis and the 0,6 goes in the y axis and then the -1, 10 goes in q1 and then 5,-2 goes in q2 then 8.7,2.3 goes in q3 then -1/4,-6 1/2 goes in qlv

Step-by-step explanation:

i hope this helps

Answer:

x-axis: (5,0)

y-axis: (0,6)

Quadrant I: (8.7,2.3)

Quadrant II: (-1,10)

Quadrant III: (- 1/4, -6 1/2)

Quadrant IV: (5,-2)

I need the slope of this graph

Answers

Answer:

3/2

Step-by-step explanation:

Pick two points on the graph

(-1,2) and (3,8)

We can use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 8-2)/(3 - -1)

   = (8-2)/(3+1)

   = 6/4

  = 3/2

DEAR GOD PLEASE HELP ME I HAVE ZERO IDEA WHAT THIS IS I NEED HELP ASAP PLEASE HELP ME

Answers

The steepness of a line/the rate of change
The steepness of a line/Rate of change

The sum of 8 and t please

Answers

Answer:

Um 8t I think, your answer isn't very descriptive but I still want to help you. But by what your asking it would most likely be 8t.

Step-by-step explanation:

Anyways have a nice day/night :)

the angles of a triangle are in the ratio of 7:6:2. find the measure of each angle.
A. 84, 72, 24.

B. 56, 48, 16.

C. 90, 80, 10,

D. 42, 36, 12

Answers

Answer:

A. 84, 72, 24

Step-by-step explanation:

Let the angles be - 7x 6x and 2x

7x + 6x + 2x = 180° (angle sum property)

15x = 180°

x = 180° ÷ 15 = 12

Therefore, the angles are : 7x = 7 × 12 = 84

6x = 6 × 12 = 72

2x = 2 × 12 = 24

Hope it helps:)

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