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PLEASE HELPP!!

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


Sagot :

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:

In this exercise we have to use the knowledge of distance to calculate the value of the length, like this:

A) 1 cm

B) 16K

some of the information given in the statement was from:

  • Trail on the first map = 8 cm
  • Trail on the second map = 6 cm
  • Scale on first map = 1 cm : 2 km

A) So to calculate the scale, you will need:

[tex]1 cm: 2km\\8 centimeters * 2 kilometers = 16 km\\16 km / 6 cm = 2.67 km : 1 cm[/tex]

B) So from the previous calculations we find the value of the length which is 16 kilometers.

See more about distance at brainly.com/question/989117