Answer:
35 kilometers
Step-by-step explanation:
In a map scale of 1 : 1,000,000, it means that 1 unit on the map represents 1,000,000 units in reality. In this case, the unit is centimeters.
So, if the distance between the two cities on the map is 3.5 cm, the actual distance between the cities would be:
[tex]\begin{aligned}\textsf{Actual Distance} &= \textsf{Map Distance} \times \textsf{Map Scale}\\\\&= 3.5 \;\textsf{cm} \times 1,000,000\\\\&= 3,500,000 \; \textsf{cm}\end{aligned}[/tex]
To convert centimeters to kilometers, we divide the number of centimeters by 100,000, since 1 kilometer = 100,000 centimeters:
[tex]\begin{aligned}\textsf{Actual Distance in Kilometers} &= \dfrac{3,500,000 \;\textsf{cm}}{100,000 \;\textsf{cm/km}}\\\\&=35\;\sf km\end{aligned}[/tex]
Therefore, the actual distance between the two cities is:
[tex]\huge\boxed{\boxed{\sf35 \;kilometers}}[/tex]
Answer:
35 kilometers
Step-by-step explanation:
To find the actual distance between the cities in kilometers:
Use the map scale:
The scale is 1:1,000,000, meaning 1 cm on the map corresponds to 1,000,000 cm in reality.
Convert map distance:
The map distance is 3.5 cm.
Multiply by the scale factor:
Actual distance = 3.5 cm × 1,000,000 cm/1 cm
= 3,500,000 cm.
Convert to kilometers:
To convert to kilometers, divide by 100,000 cm/km.
Actual distance = 3,500,000 cm / 100,000 cm/km
= 35 km.
Therefore, the actual distance between the two cities is 35 kilometers.
