A scale drawing of an office space uses a scale of 2 in. : 3 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?

Answers

Answer 1

Answer: The area of the actual office space = 18 sq. yards

Step-by-step explanation:

Formula : Image length = Scale factor x original length

Given: A scale drawing of an office space uses a scale of 2 in. : 3 yd.

i.e. scale factor = [tex]\dfrac23[/tex]

The scale drawing has an area of 12 square inches.

i.e.   [tex]\text{12 sq. inches}=\dfrac23\times\text{area of the actual office space }[/tex]

[tex]\Rightarrow\ \text{Area of actual office space}=\dfrac{3}{2}\times12=18\text{ sq. yards}[/tex]

Hence, the area of the actual office space = 18 sq. yards


Related Questions

What transformation is represented by the rule (x, y) —>(-x, y)?

Answers

Answer:

This would result in a 90º rotation

Step-by-step explanation:

This is due to the values of x being negative and changes it to a 90º rotation.

Which statements are true regarding the diagram?

Answers

Answer:

the true statement is

A it is true

B it is false

C it is true

D it is true

E it is false

Step-by-step explanation:

if you didn't understand express in comment and good luck

The options 1, 3 and 4 are true statements.

What are complementary angles?

Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).

From the diagram,

1) ∠GNH+∠HNJ=90°

So, ∠GNH and ∠HNJ are complementary angles

2) ∠JNK+∠KNL≠180°

∠JNK and ∠KNL are not supplementary angles

3) ∠KNL+∠LNM=90°

So, ∠GNH and ∠HNJ are complementary angles

4) m∠HNK+m∠KNL=180°

∠HNK and ∠KNL are supplementary angles

5) m∠MNG+m∠GNH=90°

So, ∠MNG and ∠GNH are not complementary angles

Therefore, options 1, 3 and 4 are correct.

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If you get this please help me

Answers

Dude I am so sorry but I'm just as confused as you are-

Answer:

36 in.

Step-by-step explanation:

the perimeter of the square is 4s and the perimeter of the triangle is 3(s+3).

since the perimeters are the same you can set them equal to each other and solve.

you should get s=9

substitute 9 into the square perimeter equation to get 36 in.

Find the perimeter of a rectangle with Area = x^2 + 8x + 12

Answers

Answer:

(x+6)*(x+2)

step-by-step explanation:

identify the slope, x intercept, and the y intercept of the following:
5x+12y=24​

Answers

Answer:

slope = -5/12x

x intercept = 24/5

Step-by-step explanation:

Answer: 0,-2

Step-by-step explanation:

Write the equation, in slope intercept form, for the line shown in the graph below.​

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

The slope-intercept form is y = mx + b

m is the slope

b is the y-intercept

those are the only things you need to find when doing slop-intercept form.

Slope: Find 2 points on the line

ex. (0,3) ; (3, -3) I just chose ones that were not decimals

To find slope you need to do this :  y - y / x - x

you can chose any order, as long as the pairs are together, either first or second.

3 - (-3) / 0 - 3 is one way

6 / -3 is the slope

-3 - 3 / 3 - 0 is another

-6 / 3 is the slope

They are essentially the same.

you can simplify them to get -2

Y-Intercept:

this is really easy, just find where the line touches the y-axis

y-intercept = (0,3)

We have: slope = -2

               y-intercept = 3

Now, replace the m and b in the equation-

y = -2x + 3

hope this helps :)

Explain how the sun sustains life on Earth. Write at least 2 complete sentences

Answers

Answer: The Sun helps sustain life by providing warmth to Earth so we are not an ice-cold planet. The Sun provides sunlight that helps plants to grow which humans and animals eat. (Third Optional sentence) The Sun also helps us by helping plants grow which provides oxygen for us.

Answer:

the sun sustains life on Earth by keeping us warm. the sun is basically a huge fireball positioned far enough away it keeps us warm but not too warm and keeps us from freezing to death.

Step-by-step explanation:

hope this helps :)

My teacher didn't go over this and we have to show work

Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42.

Answers

Answer:

The three consecutive even integers are 6, 8, 10

Step-by-step explanation:

The difference between each two consecutive even numbers is 2Assume that the first number is x, then the other two numbers are x + 2 and x + 4

∵ The three consecutive even numbers are x, x + 2, x + 4

∵ The smallest number is x

∴ Twice the smallest number = 2x ⇒ (1)

∵ The largest number is x + 4

∴ Three times the largest number = 3(x + 4) = 3(x) + 3(4)

∴ Three times the largest number = 3x + 12 ⇒ (2)

∵ The sum of twice the smallest number and three times the largest is 42

→ Add (1), (2) and equate the sum by 42

2x + 3x + 12 = 42

→ Add the like terms

∴ 5x + 12 = 42

→ Subtract 12 from both sides

∴ 5x + 12 - 12 = 42 - 12

∴ 5x = 30

→ Divide both sides by 5

∵ [tex]\frac{5x}{5}=\frac{30}{5}[/tex]

x = 6

∴ The smallest integer is 6

∴ The middle integer is 6 + 2 = 8

∴ The largest integer is 6 + 4 = 10

The three consecutive even integers are 6, 8, 10

Ms. Wells is going to order 4 large cheese pizzas for a class pizza party at the end of the school year. She expects she'll spend at least $40 on the pizzas.

Answers

Answer:

10 for each pizza

Step-by-step explanation:

40/4

The correct inequality for this statement is,

⇒ 4x ≤ $40.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Ms. Wells is going to order 4 large cheese pizzas for a class pizza party at the end of the school year.

And,  She expects she'll spend at least $40 on the pizzas.

Now, Let the cost of each pizza = x

So, We can formulate;

⇒ 4x ≤ $40

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The complete question is this,

Ms. Wells is going to order 4 large cheese pizzas for a class pizza party at the end of the school year. She expects she'll spend at least $40 on the pizzas.

a) 4x ≥ 40

b) 4x > 40

c) 4x ≤ 40

What is the slope and the perpendicular slope on the points given?

Answers

Answer:

The slopes are:

blue: 4/3 = 1⅓

green: -4/3 = -1⅓

I used rise over run to work these out

Answer:

- [tex]\frac{4}{3}[/tex] and [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2-y_{1} } }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (4, - 8) ← 2 points on green line

m = [tex]\frac{-8-8}{4+8}[/tex] = [tex]\frac{-16}{12}[/tex] = - [tex]\frac{4}{3}[/tex]

Repeat with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (4, 2) ← 2 points on the blue line

m = [tex]\frac{2+1}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]

Since the product of the slopes = - [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{4}[/tex] = - 1

Then the lines are perpendicular

helppp pleaseeeee ❤️ !!​

Answers

Answer:

0.71. ,14%. ,7/40

Step-by-step explanation:

At first we have to find value of 14% and 7/40

which is 14/100=0.14 and

7/40 = 0.175.

so arranging in descending order which is bigger value to smaller value so,

0.71. , 0.14. , 0.175

Rudy took a test and earned a 92%. Camilo earned 88% on the same test. If Rudy answered 46 questions correctly, how many more questions did he answer correctly than Camilo?

Answers

Answer:

Rudy answered 2 questions more than Camilo.

Step-by-step explanation:

Match each polynomial to its factored form.
x^2+8x +16
x^3-64
x^2-16

(x-4)(x^2+4x+16)
(x+4)^2
(x-4)(x+4)

Answers

Answer:

x^2+8x +16 >> (x+4)^2

x^3-64 >> (x-4)(x^2+4x+16)

x^2-16 >> (x-4)(x+4)

Step-by-step explanation:

Each polynomial is matched to its factored form. These are the correct answers. I did this on EDGE!

Polynomial is an expression that consists of indeterminates(variable) and coefficients.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

To know which polynomial to match, solve the factors.

A.) (x-4)(x²+4x+16)

[tex](x-4)(x^2+4x+16)\\\\=x(x^2+4x+16)-4(x^2+4x+16)\\\\= x^3 + 4x^2 + 16x - 4x^2-16x-64\\\\=x^3 -64[/tex]

Hence, (x-4)(x²+4x+16) will match x³-64.

B.) (x+4)²

[tex](x+4)^2\\\\= x^2+8x+16\\[/tex]

Hence, (x+4)² will match x²+8x+16.

C.) (x-4)(x+4)

[tex](x-4)(x+4)\\\\ = x^2-16[/tex]

Hence, (x-4)(x+4) will match x²-16.

Learn more about Polynomial:

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Fun Station is having a sale. Video games are 20% off, board games are 50% off, and basketballs are $12. Let v represent the original price of a video game. Let b represent the original price of a board game. Write an equation to find the total sale price of 2 video games, 3 board games, and 1 basketball.

Answers

Answer:

y=1.6v+1.5b+12

Step-by-step explanation:

Let v represent the original price of a video game.

Let b represent the original price of a board game.

let y be the total

y=v+b+12

Video games are 20% = 100-20= 80%= 0.8v

 board games are 50% =100-50=50%= 0.5b

the total is now

y=0.8v+0.5b+12

the expression for the total sale price of 2 video games, 3 board games, and 1 basketball

y=2(0.8v)+3(0.5b)+12

y=1.6v+1.5b+12

WHAT IS 389.649 ROUNDED TO THE NEAREST TENTH

Answers

Answer:

389.6

Step-by-step explanation:

389.649 rounded to the nearest tenth is 389.6

Answer:400.000

Step-by-step explanation:ezez

how do you get that answer​

Answers

By paying attention in your school np
The answer is the 3rd option:)

I need help on this one can some help me

Answers

Answer:

the answer is yes I think

Step-by-step explanation:


"Glenn has 4 less than twice as many hats as Mia."
1. 2h - 4
2. 2h <4
3. h² – 4
4. 4 - 2h

Answers

I’m not sure if I’m right but I think it’s 4.

What's the equation of (-4,-6) and (-2,-7)

Answers

Answer:

y=-1/2x-8

Step-by-step explanation:

Use the formula y2-y1/x2-x1

-7 - (-6)= -1

-2 - (-4) = 2

-1/2 is the slope

Plug it in

-6=-4(-1/2)+b

-6=2+b

b=-8

Please help, Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−1, −6)

(−3, 3)

(7, 0)

(11, 3)

Answers

(-1, -6) and (11, 3) would both be correct

I WILL GIVE BRAINIEST IF CORRECT
Tucker measured the auditorium and made a scale drawing. The scale he used was 1 inch : 3 feet. The stage is 57 feet long in real life. How long is the stage in the drawing?

Answers

Answer:

19 inch

Step-by-step explanation:

57÷3=19

19 inches as the ratio is 1:3


Pleaseeeee helpppppp!!!!!

Answers

Answer: A, D, and E

Step-by-step explanation: you can solve them just by adding with no additional steps

A .. D .. E , hope that helped u out :)

A man has two more nickels than dimes, and has $1.15 in total. How many coins of each kind does he have?

Answers

Answer:

9 nickels and 7 dimes

Step-by-step explanation:

Found the answer off some other dude

9 Nickles and 7 dimes!! i rly hope this helps!!! :))

what y = mx + b for m?

Answers

answer : m would be the slope



m = rise over run

Answer:

Answer:

y - mx = b ( second choice )

Step-by-step explanation:

given y = mx + b

Isolate b by subtracting mx from both sides

y - mx = b

Step-by-step explanation:

$2.98 for 15.5 ounces of oreos

Answers

Answer:

$46.19

Step-by-step explanation:

SOMEONE PLZ HELP WILL GIVE BRAINLIEST

Answers

Answer:

Pre-Algebra, Algebra I, Algebra II, Geometry: homework help by free math tutors, solvers, lessons.Each section has solvers (calculators), lessons, and a place where you can submit your problem to our free math tutors. To ask a question, go to a section to the right and select "Ask Free Tutors".Most sections have archives with hundreds of problems solved by the tutors.

Step-by-step explanation:


help i’ll give u brainlest and lots of points

Answers

Answer: try answer c

Step-by-step explanation:

Answer:

I think the answer is d

Step-by-step explanation:

[tex] \frac{3 - ( -1)}{ - 4 - 2} = \frac{4}{ - 6} [/tex]

simplify it and the final answer will be -2/3

Please help me!!!!!!!!

Answers

Answer:

WITH WHAT? IM WILLING TO HELP

Step-by-step explanation:

A girl's club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl's club? The percent change is 0.38%. The percent change is 0.6%. The percent change is 38%. The percent change is 60%.

Answers

Answer:

The percent change is 60%.

Step-by-step explanation:

given that the old amount is

$600

also the new amount is $960

the change is 960-600= $360

therefore the expression for percent change is given as

%change= new-old/old

%change= final-initial/initial

%change= 960-360/360

%change= 360/600

%change= 0.6

0.6*100

=60%

The percent change is 60%.

Answer:

D

Step-by-step explanation:

this is algebra 1 9th grade

Answers

I’m in 7th grade but learned this in 5th. I’m pretty sure it is option 4. Let me know if I am correct.
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