Amap has a scale of 1 cm : 20 km. two cities are 2.5 cm apart on the map. to the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

a. 70 km

b. 52.5 km

c. 50 km

d. 150 km

C. 50 km

Step-by-step explanation:

The scale on the map is,

1 cm : 20 km,

That is, the ratio of the scaled distance and actual distance =

Let x be the actual distance between the two cities which are 2.5 cm apart on the map,

So, the ratio of scaled distance and actual distance =

Hence, the actual distance between the cities is 50 km.

Option 'C' is correct.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: