2 cities have nearly the same north-south line 90° W. The latitude of the first city is 23°N, the latitude of the second city is 36° N. Approximate the distance between the cities if the average radius of earth is 6400 km. The cities are approximately

The cities are approximately 1452 km apart

Step-by-step explanation:

The two cities are on the same Longitude 90°W therefore the distance between them is on a great circle

Latitude of the first city = 23°N

Latitude of the second city = 36° N

Because their latitude are on the same polar axis, we subtract to get the angular difference

Angular Difference = 36 -23 =13°

where

The cities are approximately 1452 km apart

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

the answer is 24

step-by-step explanation: