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a map has a scale of 3cm 18 km if riverside and smithville are 54 km apart then they are how far apart on the map

1 Answer

1 vote

Answer:

9cm

Explanation:

To find the distance between Riverside and Smithville on the map using the given scale, you can use the proportion:

Scale on Map (in centimeters) / Actual Distance (in kilometers) = Scale Factor

In this case:

Scale on Map = 3 cm

Actual Distance = 54 km

Scale Factor = 3 cm / 18 km

Now, set up the proportion and solve for the distance on the map (let's call it "x"):

3 cm / 18 km = x cm / 54 km

Now, cross-multiply and solve for x:

3 cm * 54 km = 18 km * x cm

162 km cm = 18 km x

To find x (the distance on the map), divide both sides by 18 km:

x cm = (162 km cm) / 18 km

x cm = 9 cm

So, Riverside and Smithville are 9 centimeters apart on the map.

User Thomas Neitmann
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