On a map with a scale 1: 100,000 the distance between two cities is 12cm. what would be the distance between these two cities on a different map with a scale 1: 300,000?

Part 1)

we have

the scale is

the distance on a map is

we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

In this part we have

Find the value of y

Substitute the values

Convert to kilometers

Part 2)

In this part we have

Find the value of x

Substitute the values

Convert to centimeters

therefore

the answer is

The distance is

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blogan.20174

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet