SahelO698444 SahelO698444
  • 03-11-2022
  • Mathematics
contestada

the scale of a map say that 4 cm represents 5km what distance on the map in cm represents an actual distance of 10 km

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LeydiM426053 LeydiM426053
  • 03-11-2022

We can do as follow s

centimeters km

4 5

x 10

which is the same as saying that 4 centimeters are 5km, so x centimeters are 10 km. We want to find the value of x. To do so, we use the fact that this is a proportion, so it must happen that

[tex]\frac{4}{5}\text{ = }\frac{x}{10}[/tex]

So if we multiply on both sides by 10, we get

[tex]x\text{ = }\frac{4_{}\cdot10}{5}\text{ = }\frac{40}{5}=8[/tex]

So 8 cm represent 10 km.

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