Respuesta :

Answer:

5) No

The actual distance between the drone and the fossil is [tex]32\dfrac{3}{4}[/tex] ft

Step-by-step explanation:

3) A. -2/9

(2/3 - 5/6)/3/4 = (-1/6)/(3/4) = (-1/6) × (4/3) = -2/9

4) d. [tex]0.\overline {90}[/tex]

10/11 = 0.9090909...

∴ 10/11 = [tex]0.\overline {90}[/tex]

5) The height of the drone is flying above the ground = [tex]25\dfrac{1}{2}[/tex] ft.

The location of the fossil below the ground = [tex]7\dfrac{1}{4}[/tex] ft.

Taking the ground level as the origin on a number line, we have;

The location of the drone relative to the ground =  + [tex]25\dfrac{1}{2}[/tex] ft. (The positive sign for a point above the origin)

The location of the fossil relative to the ground = [tex]-7\dfrac{1}{4}[/tex] ft. (The negative sign for a point below the origin)

Therefore;

The distance between the drone and the fossil = The difference between the location of the drone and the fossil

The distance between the drone and the fossil = [tex]25\dfrac{1}{2} - \left(-7\dfrac{1}{4} \right)[/tex]

[tex]25\dfrac{1}{2} - \left(-7\dfrac{1}{4} \right) = 25\dfrac{1}{2} + 7\dfrac{1}{4} = 32\dfrac{3}{4}[/tex]

The distance between the drone and the fossil = [tex]32\dfrac{3}{4}[/tex] ft.

Therefore;

The distance between the drone and the fossil > 32 ft.