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zepelin [54]
3 years ago
14

Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second

map is 6 cm.
(a) 1 cm on the first map represents 2 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail?
(b) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.
Mathematics
2 answers:
sergij07 [2.7K]3 years ago
6 0

Answer:

Given:  

Two trail maps:

Trail on the first map = 8 cm

Trail on the second map = 6 cm

Scale on first map = 1 cm : 2 km

A) What is the scale factor from the map to the actual trail?  

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km.  

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm  

B) The length of the actual trail is 16 kilometers.  

Step-by-step explanation:

spayn [35]3 years ago
4 0

Answer:

Two trail maps:

Trail on the first map is 8 cm

Trail on the second map is 6 cm

Scale on first map is 1 cm : 2 km

A. What is the scale factor from the map to the actual trail? 

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km. 

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm 

B. The length of the actual trail is 16 kilometers. 

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