Respuesta :
Answer:
1 cm : 40 km.
Step-by-step explanation:
We are asked to find the scale factor of a map, when 3 cm on the map correspond to 120 km in the actual distance.
To find scale of the map, we will divide actual distance by distance on map as:
[tex]\frac{\text{ 120 km}}{\text{3 cm}}=\frac{\text{40 km}}{\text{cm}}[/tex]
Since 1 cm on map corresponds to 40 km in the actual distance, therefore, the scale is 1 cm : 40 km.
The scale is 1 cm : 40km
The map is a scale drawing
A scale drawing is a reduced image of another image.
Scale of the map = dimensions of the scale drawing / dimensions of actual image
3cm /120 km
To simplify, divide both sides of the equation by 3
1 cm : 40km
To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults