Question

use the map shown below to find the distance between cities a and b to the nearest tenth. the distance is (round to the nearest tenth as needed.)

Explanation:

Step1: Identify coordinates

Let point A have coordinates $(0,0)$ and point B have coordinates $(6,4)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 0,y_1 = 0,x_2=6,y_2 = 4$, so $d=\sqrt{(6 - 0)^2+(4 - 0)^2}=\sqrt{36 + 16}=\sqrt{52}$.

Step3: Simplify and round

$\sqrt{52}\approx7.2$.

Answer:

$7.2$