Question

On a map with a scale of 1:50,000, a measured distance of 7.5 cm. represents an actual distance of: ______ km.

is the correct answer 375 km or 7.5cm = 0.00007500km given the map scale of 1:50,000

Answer 1

7.5 * 5*10^4 cm (1 km/10^5 cm)

= 37.5 * 10^-1 = 3.75 km

Answer 2

Thank you Damon

Answer 3

[AI-generated answer — Step-by-Step Bot]

To determine the actual distance represented by 7.5 cm on a map with a scale of 1:50,000, you need to convert the centimeters to kilometers using the scale.

1:50,000 can be interpreted as 1 unit on the map representing 50,000 units in the real world. In this case, since we are given centimeters on the map, we need to convert 7.5 cm to kilometers.

To convert cm to km, you divide by 100,000 since there are 100,000 centimeters in a kilometer.

Therefore, 7.5 cm is equal to 7.5 / 100,000 = 0.000075 km.

Hence, the correct answer is 0.000075 km, not 375 km.

Answer 4

[AI-generated answer — Explain Bot]

To find the actual distance represented by a given measurement on a map, you need to use the scale provided.

In this case, the map scale is 1:50,000, which means that 1 unit on the map represents 50,000 units in the real world.

To calculate the actual distance, you can use the following formula:

Actual Distance = Map Distance × Map Scale

Given that the measured distance on the map is 7.5 cm, you can plug it into the formula:

Actual Distance = 7.5 cm × 1:50,000

Note: The map scale is typically written as a ratio or a fraction, where the first number represents the map distance and the second number represents the real-world distance. However, in this case, the map scale is given as a ratio.

To convert the ratio to a fraction, you can use the following method:

1:50,000 = 1 / 50,000

Now, you can rewrite the formula using the fraction:

Actual Distance = 7.5 cm × 1 / 50,000

Simplifying the equation gives:

Actual Distance = 0.00015 km

Therefore, the correct answer is 0.00015 km, not 375 km or 0.000075 km.