MATHEMATICS HIGH SCHOOL

A scale drawing of an office space uses a scale of 2 inches in 3 yards the scale drawing has an area of 16 in.² what is the area of the actual office space

Answers

Answer 1
Answer:

Answer:

36 Square Yards

Step-by-step explanation:

The Scale Drawing uses a ratio

2 Inches : 3 Yards

Therefore,

1 Inch = 3/2 Yards

If the area of the scale drawing is 16 Inch²

To get the area of the actual office, we multiply by the square of the scale factor.

Scale Factor=3/2

Therefore:

The area of the actual office space

=16X(3/2)² Square Yards

=36 Square Yards
Answer 2
Answer:

Answer:

36 square yards.

Step-by-step explanation:

This question is solved with rule of three and ratios

We know that 2 inches is equivalent to 3 yards, and the area in the drawing is 16 square inches.

so if

2 inches ---- 3 yards then 1 inch is 3/2 yards.

Let's say that the office is 8 inches x 2 inches = 16 squared inches

Then, if we convert it to yards,

8 inches would be: 8((3)/(2))=12 yards

and 2 inches would be: 2((3)/(2))=3 yards

Then, the area of the office would be 12 x 3 = 36 squared yards.

Related Questions

Please answer as soon as possible! will give branliest! worth 50 points
Factor the polynomial. 7x^2 + 68xy - 20y^2
Which is the solution to the equation 2x+ 4= -8? A.) x= -2B.) x= -8 C.) x= -6D.) x= -1
What type of line is the graph of x = −2?
What are the roots of 12x = 9 + 5x2?

The breakfast special served at Pancake Heaven includes 2 eggs and 1 waffle. Last week, 333 people were served the breakfast special. Based on that amount, how many eggs are needed for the number of breakfast specials that will be served during a 1-year period (52 weeks)?

Answers

34,632 eggs, because 333 people with two eggs per person is 666 eggs, and 666 times 52 is 34,632

21.034.005.023 word form

Answers

Answer:

twenty-one and thirty-four million five thousand twenty-three billionths

Step-by-step explanation:

Graph the line for this problem:    y=3x+6

Answers

y=3x+6\n\nfor\ x=0\to y=3\cdot0+6=6\to A(0;\ 6)\n\nfor\ x=-2\to y=3\cdot(-2)+6=-6+6=0\to B(-2;\ 0)
y=3x+6 \n \nx=0 \n \ny=3*0+6\n \ny=6 \n \nA(0,6)


y=0 \n \n0=3x+6\n \n3x=-6/:3\n \nx=-2 \n \nB(-2,0)

Graph each pair of parametric equations.
x = 3 sin^3t
y = 3 cos^3t

Answers

Answer with explanation:

We are given a parametric equation as:

           x=3 \sin^3 t

and      y=3 \cos^3 t

Hence, we can represent our equation as:

\sin^3 t=(x)/(3)\n\n\n\sin t=((x)/(3))^{(1)/(3)}\n\n\nHence,\n\n\sin^2 t=((x)/(3))^{(2)/(3)}\n\nand\ similarly\n\n\cos^3 t=(y)/(3)\n\n\cos t=((y)/(3))^{(1)/(3)}\n\nHence,\n\n\cos^2 t=((y)/(3))^{(2)/(3)}

As we know that:

\cos^2 t+\sin^2 t=1

Hence, on putting the value in the formula we get the equation in rectangular coordinates as:

((x)/(3))^{(2)/(3)}+((y)/(3))^{(2)/(3)}=1

Hence, this is a equation of a  ASTROID.
Hello,

This is an astroïde.

(x/3)^(2/3)+(y/3)^(2/3)=1

Johnny Barber took golf lessons. His clubs cost $425, balls cost $12.50, shoes cost $49.50, his golf shirt was $37, and his glove was on sale for $19.95. He paid 5% sales tax on his purchase. His lessons cost $20.00 per lesson for 12 lessons. What is the total cost of his purchase and lessons?A. $811.15
B. $780.70
C. $603.15

Answers

Answer:

The total  cost of the Johnny Barber purchase and lessons is $811.15 .

Option (A) is correct .

Step-by-step explanation:

As given

Johnny Barber took golf lessons.

Johnny Barber clubs cost $425, balls cost $12.50, shoes cost $49.50, his golf shirt was $37, and his glove was on sale for $19.95.

Total purchase cost =  Johnny clubs cost +  Balls cost + Shoes cost + Golf shirt cost + Glove cost

Put all the values in the above

Total purchase cost =  425 +  12.50 + 49.50 + 37 + 19.95

                                 = $ 543.95

As given

Johnny Barber paid 5% sales tax on his purchase.  

5% is written in the decimal form

= 0.05

Thus

Sales tax = 0.05 × Total purchase cost

               = 0.05 × 543.95

               = $ 27.1975

As given

Johnny Barber  lessons cost $20.00 per lesson for 12 lessons.

Total cost of the lesson = 12 × Cost per lesson

                                        = 12 × 20

                                        = $ 240

Thus

Total cost of the Johnny Barber purchase and lessons = Total purchase cost + Sales tax + Total cost of the lessons

Put all the values in the above

Total cost of the Johnny Barber purchase and lessons =  $ 543.95  + $ 27.1975  + $ 240

Total cost of the Johnny Barber purchase and lessons =  $ 811.1475

Total cost of the Johnny Barber purchase and lessons =  $ 811.15 (Approx)  

Therefore the total  cost of the Johnny Barber purchase and lessons is $811.15 .

Option (A) is correct .                                                        
425+49.50+12.50+37+19.95= $543.95

543.95x0.05= $27.20        total= $571.15

12 lessons x $20= $240

grand total of $ 811.15

The product of a number w and 737

Answers

Given that the number is w ...so the product of w and 737 would be w × 737...=>737w....Hope it helps!!!
Other Questions
Amir owns and operates a clothing store. He sells a shirt for $59.95. He Originally bought the shirt for $40.50. What is the buying price as a percent of his selling price?
Solve for L.P = 2L + 2W
A circular cylinder has a radius between 5.50 and 6.00 cm and a volume of 225 cm3. Write an inequality that represents the range of possible heights the cylinder can have to meet this criterion to the nearest hundrenth of the centimeter.
3/8 +1/5 equals what it is on my homework and I'm struggling