Step: 1

1 ft = 12 in.

Step: 2

The height of building in inches

12 x 2000 = 24000 in.

[Conversion of feet to inches.]

Step: 3

The scale used by binoculars = The image height of building / The actual height of building20 24000 = 1 1200

[Finding the scale used in binoculars.]

Step: 4

The scale used by the binoculars is 1 1200 .

Correct Answer is : 1 1200

Step: 1

Let n be the length of Honda bike cardboard model.

Step: 2

[Write a proportion.]

Step: 3

[Write the cross products.]

Step: 4

[Simplify the expression.]

Step: 5

The length of the Honda bike cardboard model is 10 ft.

Correct Answer is : 10 ft

Step: 1

Let x be the actual length of the car.

Step: 2

[Use scale transformation to represent the actual length of the car.]

Step: 3

[Simplify.]

Step: 4

The actual length of the car is 126 in.

Correct Answer is : 126 in.

Step: 1

Scale factor = (length of enlarged square side) / (length of original square side)

Step: 2

= 9 3

[Substitute the values.]

Step: 3

= 9÷3 3÷3 = 3 1 = 3

[Divide numerator and denominator by their GCF, 3 and simplify.]

Step: 4

The scale factor is 3.

Correct Answer is : 3

Step: 1

As,1 feet = 12 inches, the actual height of Harry potter = 4 feet 4 inches = (4 x 12) + 4 inches = 52 inches

[Convert feet to inches.]

Step: 2

The height of toy of Harry potter = 1 feet 1 inch = (1 x 12) + 1 = 13 inches.

Step: 3

Scale = the height of toy of Harry potter/the actual height of Harry potter = 13 52 = 1 4

Step: 4

The scale factor used is 1 4.

Correct Answer is : 1/4

Step: 1

Scale factor = (length after projection) / (actual length)

Step: 2

= 3 0.9 = 3.3

[Substitute the values and simplify.]

Step: 3

The scale factor of the projector is 3.3.

Correct Answer is : 3.3

Step: 1

1m = 100 cm, 4.5 m = 4.5 x 100 = 450 cm.

Step: 2

The scale = the length of the model/the actual length of the car = 200cm 450cm = 4 9

Step: 3

The scale used to make the model is 4 9 .

Correct Answer is : 4 9

Step: 1

Scale factor = (size of the cell through the microscope) / (actual size of the cell)

= 1.2 0.04

[Substitute the values.]

Step: 2

= 120 4

[Multiply and divide by 100 to remove the decimal in the denominator.]

Step: 3

= 30

[Divide.]

Step: 4

The scale factor is 30.

Correct Answer is : 30

Step: 1

Scale factor = (reduced length of the photograph) / (actual length of the photograph)

= 0.5 2.5 = 1 5

[Substitute the values and simplify.]

Step: 2

The scale factor is 1 5 .

Correct Answer is : 1 5

Step: 1

Scale factor = (height of the enlarged logo) / (actual height of the logo)

= 15 12 = 5 4 = 1.25

[Simplify.]

Step: 2

The scale factor is 1.25.

Correct Answer is : 1.25

Step: 1

New length = (actual length of the logo) x (scale factor)

= 20 x 1 4 = 5 inches

[Substitute the values and simplify.]

Step: 2

The new length of the logo is 5 inches.

Correct Answer is : 5 inches

Step: 1

Scale factor = (length of the logo after reduction) / (actual length of the logo)

= 3.5 17.5 = 1 5

[Substitute the values and simplify.]

Step: 2

The scale factor is 1 5 .

Correct Answer is : 1 5

Step: 1

Scale factor = (height of the toy) / (actual height)

= 2.4 6 = 2 5

[Substitute the values and simplify.]

Step: 2

The scale factor is 2 5 .

Correct Answer is : 2 5

Step: 1

Let n be the height of the actual Eiffel Tower.

Step: 2

[Write the scale and its related proportion.]

Step: 3

[Write the cross products.]

Step: 4

[Multiply.]

Step: 5

The actual height of the Eiffel Tower is 328 y d .

Correct Answer is : 328 y d

Step: 1

Let, n be the actual height of the statue.

Step: 2

[Write a proportion.]

Step: 3

[Write a cross product.]

Step: 4

[Multiply.]

Step: 5

So, the height of the statue in reality is 450 meters.

Correct Answer is : 450 meters

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