Respuesta :

Answer:

1 Millimeter: 1 meter

Step-by-step explanation:

a)  the scale is [tex]\frac{1}{100}[/tex]

That means ----> 1 unit in the drawing represent 100 units in the actual

b) the scale is  [tex]\frac{1}{1}\frac{mm}{m}[/tex]

Remember that

1 m=1,000 mm

substitute

[tex]\frac{1}{1,000}\frac{mm}{mm}=]\frac{1}{1,000}[/tex]

That means ----> 1 unit in the drawing represent 1,000 units in the actual

c) the scale is  [tex]\frac{1}{10}\frac{in}{ft}[/tex]

Remember that

1 ft=12 in

substitute

[tex]\frac{1}{10}\frac{in}{ft}=]\frac{1}{120}[/tex]

That means ----> 1 unit in the drawing represent 120 units in the actual

Example

If we would like to draw a segment that in reality measures 1000 units, then

with scale a) [tex]\frac{1}{100}[/tex]

The length of the drawing is 1,000/100=10 units

with scale b) [tex]\frac{1}{1,000}[/tex]

The length of the drawing is 1,000/1,000=1 unit

with scale c) [tex]\frac{1}{120}[/tex]

The length of the drawing is 1,000/120=8.3 units

therefore

The smallest drawing is with the scale of  [tex]\frac{1}{1,000}[/tex]

so

1 Millimeter: 1 meter