A scale drawing of an office space uses a scale of 1 in : 4 yd. The scale drawing has an area of 12 square inches.The area of the office space is ____ square yards

Answers

Answer 1

The scale factor of area of the drawing to the area of the office is the

square of the scale factor of the length of the drawing.

The area of the office space is 192 square yards.

Reasons:

The given parameters are;

1 inch in the scale drawing = 4 yd. in actual dimension

4 yd. = 144 inches

Therefore;

1 inch in the scale drawing = 144 inches in actual dimension

The scale factor of  length of the drawing, s = 1:144

The scale factor of area = s²

Therefore, we have;

[tex]\dfrac{Drawing \ area}{Actual \ area} =s^2[/tex]

Therefore, we have;

[tex]\dfrac{Drawing \ area}{Actual \ area} =\dfrac{12}{A} = s^2 = \left( \dfrac{1}{144} \right)^2[/tex]

Where;

A = The actual office space area

There fore;

12 × 144² = A × 1²

A = 12 × 144² = 248,832 in.²

1 yd.² = 1,296 in.²

[tex]248,832 \, in.^2 = \dfrac{248,832}{1,296} \, yd.^2 = 192 \, yd.^2[/tex]

The area of the office space is 192 square yards.

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Related Questions

ANSWER THE QUESTION FOR BRAINLIEST

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4th answer -3,0,1,2,3

Is the first one correct and what are the ages?

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For the first question (10a) I think 4x - 4 = 64 could also model the situation. For the ages, Ari is 17, Bill is 34, and Chris is 13. To check, we add them up and get a total of 64. Hope this helps.

Is the following statement true or false?
A parabola opens up when a is positive.
A True
B False

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Answer:

trueeeeeeeeeeeeeeeee3

Answer:

if a is positive the parabola opens up to the right and it's a negative it opens down

1) you deposit $2,300 in a bank account. find the balance after 5 years for each of the following situations: is) the account pays 2.5% annual interest compounded monthly.

Answers

Answer:

Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.

But 5 years with interest you'd have 5750$ in the bank.

Step-by-step explanation:

With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.

With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.

Write an equivalent expression for h + h + h + n + r + r + n

Answers

Answer:

h3 + r2 + n2

Step-by-step explanation:

Answer:

3h+2n+2r

Step-by-step explanation:

I believe you just combine like terms. Since there are 3 hs, 2 ns, and 2 rs, you just them all up and you get 3h+2n+2r.

I hope this helped you!

A researcher wishes to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. A suitable hypothesis test will be conducted to test the claim that there is no difference in the average age of each group. Find the test statistic. g

Answers

Answer:

F- test

Step-by-step explanation:

Testing the hypothesis about the equality of  k (k>2) population means

Test statistic F is used to find the whether there is no difference in the average age of each group.

Test statistic to be used

F= Between Mean Square/ Within Mean Square

F= s1²/s2²   where s1 and s2 are  independent unbiased estimates of the variance and their values do not differ greatly.

Which have  v1= k-1 and v2= n-k degrees  of freedom

The analysis of variance F -t est is always a one tailed test with rejection region located in the right tail of the F- distribution.

There are 31 motor scooters on a used car lot, along with 67 other vehicles.
What is the probability that a randomly selected vehicle will be a motor scooter?
Write your answer as a fraction or whole number.

Answers

Answer:

31/98

Step-by-step explanation:

31 motor scooters

67 other vehicles

31 + 67 total vehicles

31 + 67 = 98

The probability is motor scooters/total vehicles

31/98 is the answer.

The first sequence follows the rule add 5. The second sequence follows the rule add 3. Both sequences start from 2. Select the option that correctly shows the first 5 terms for each sequence. Question 1 options: First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 5, 8, 11, 14 First sequence: 0, 5, 10, 15, 20 and second sequence: 0, 2, 4, 6, 8 First sequence: 2, 6, 10, 14, 18 and second sequence: 2, 5, 8, 11, 14 First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 6, 10, 14, 18

Answers

Option 1 because they both need to start sequence from 2

Find the measure of angles T and V.

Answers

W is 90

Full equation

90+ 2x +3x =180

5x = 180-90

5x = 90

X= 90/5

X= 18

T = 3 (18)

T= 54

V=2(18)

=36

Which statement is true about the relationship between the height of the plant and the number of days? This relationship is a function because the plant can only be one height at a time. This relationship is not a function because the plant can only be one height at a time. This relationship is a function because the plant can be more than one height at a time. This relationship is not a function because the plant can be more than one height at a time.

Answers

Answer:

This relationship is a function because the plant can only be one height at a time.

Step-by-step explanation:

Functions occur when the recorded x-value is varied each time. Since the height of the plant (the x-value) varies each day, it is a function.

Kim and Steven went to dinner. Kim had a coupon for a 25% discount off the price of all meals, not including tax and tip, if the original price of meals was $75.00, what is the discounted price, not including tax and tip?

Answers

Answer:

The discounted price, not including tax and tip is $56.25.

2. Change the fraction to a decimal.
a. 6/100
b. 43/100
c. 3/10
d. 4 23/4,000
How would I do this?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a-0.06

b-0.43

c-0.3

d-I don't know what u were asking 423/4,000 is 0.10575

Step-by-step explanation:

Finding decimals from fractions is easy just divide the top number by the bottom a fraction sign is the same as a division sign I don't know why you use the other one with the dots on both sides instead of just always using this one.

draw the graph of y=3-1/2x​

Answers

Answer:

how do i draw the graph

Step-by-step explanation:

Answer:

I attached my sketch of it. Notice how as the y value goes down 1, the x value goes to the right 2.

I would appreciate Brainliest but no worries.

Choose all the weights that are equal to 1 ton 200 pounds.

A.
35,000 ounces

B.
1,200 pounds

C.
2,200 pounds

D.
1,200 pounds 100 ounces

E.
1 ton 100 pounds 1,600 ounces please answer this

Answers

Answer:

C. and E. i did the test

Step-by-step explanation:

The only options that are equal to 1 ton 200 pounds are C and E.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We are given that;

1 ton 200 pounds.

Now,

We can compare this value with the given options and see which ones are equal to it. We can use the conversion factors from the search results34 to convert ounces to pounds. We get:

A. 35,000 ounces = 35,000 / 16 pounds 35,000 ounces = 2,187.5 pounds This is not equal to 2,200 pounds.

B. 1,200 pounds = 1,200 pounds This is not equal to 2,200 pounds.

C. 2,200 pounds = 2,200 pounds This is equal to 2,200 pounds.

D. 1,200 pounds 100 ounces = (1,200 + (100 / 16)) pounds 1,200 pounds 100 ounces = (1,200 + 6.25) pounds 1,200 pounds 100 ounces = 1,206.25 pounds This is not equal to 2,200 pounds.

E. 1 ton 100 pounds 1,600 ounces = ((1 x 2,000) + (100 + (1,600 / 16))) pounds 1 ton 100 pounds 1,600 ounces = (2,000 + (100 + 100)) pounds 1 ton 100 pounds 1,600 ounces = (2,000 + 200) pounds 1 ton 100 pounds 1,600 ounces = 2,200 pounds This is equal to 2,200 pounds.

Therefore, by the conversion the answer will be 1 ton 200 pounds are C and E.

Learn more about the unit conversion here:

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#SPJ3

What’s 86.53052229 rounded to the nearest tenth ?

Answers

Answer:

86.5

Step-by-step explanation:

5 or higher round up

4 or lower round down

3 is lower than 4

Answer:

90.

Step-by-step explanation:

A tenth is 10,20,30,40,50 etc..

So if you have over 85 then it would be 90. But if you have like 84 then it would be 80.

Issac’s paper airplane flew 5 2/12 feet. Lillian’s paper airplane flew 5 5/12 feet. How much farther did Lillian’s paper airplane fly?

Answers

Answer:

Hi! The answer to your question is Lillian's paper flew [tex]\frac{1}{4}[/tex] feet further than Issac's

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Answer:

3/12 or 1/4 foot.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

(Middle school) I’ll give brainliest

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Answer:

150.72 units^3

Step-by-step explanation:

Formula: πr2h

3.14 x 4^2 x 3 = 150.72 units^3

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Steven jogs around a circular field with a diameter of 70 yd. Find the area of the field.

Answers

Answer:

3848.46 :)

Step-by-step explanation:

Area: 3848.4510006475

1225π

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

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Answer:

$10.10

Step-by-step explanation:

0.25 × 27 = 6.75

0.10 × 26 = 2.60

0.05 × 15 = 0.75

6.75 + 2.60 + 0.75 = $10.10

You pick a card at random. 5 6 7 8 What is P(divisor of 8)? 11% 83% 25%​

Answers

Answer:25%

Step-by-step explanation:

You have a 25% (1 in 4) to pick 8

If cosx=-3/7, find the value for cos4x

Answers

Answer:

cos ( 4 x ) = - 479 / 2401

Step-by-step explanation:

:D

Is the point (-4, 1/2) on the graph of y= 1\2 x-4 ? How do you know? Show your work/thinking.

Answers

9514 1404 393

Answer:

  no, when x is even, y will be an integer, not a fraction

Step-by-step explanation:

We observe that the coefficient of x is 1/2, so the x-term will be an integer only if x is a multiple of 2 (even). If the x-term is an integer, y will be an integer.

The given point has x even (-4), so we expect y to be an integer. The given point has y=1/2, not an integer, so the point will NOT be on the graph.

helppppppppp m eeeee plzzzzzzz

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the answer is c, have a great day

Need help

1. 15% of what number is 6?

2. 25 is 10% of what number

3. 49 is 35% of what number

4. What is 310% of 65

Thanks

Answers

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

John can polish 42 tables in 6 hours. What is the ratios of the number of hours to tables?

Answers

Answer:

1 : 7

Step-by-step explanation:

Answer:

7:1

Step-by-step explanation:

divide 42 by 6 to get how many he can do in one hour

42/6=7

7:1

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Answers

The Slope will be -1

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Step-by-step explanation:

Answer:

take hints and don't be confused on such question

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Answer:

2+2 is 4

Step-by-step explanation:

plz mark me brainest answer

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Answers

The answer is 79

145-66=79
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