Question

Please help me on #5. Both parts of possible please. Thank you for helping!

Answer 1

5) No

The actual distance between the drone and the fossil is
`32(3)/(4)` ft

Explanation:

3) A. -2/9

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

4) d.
`0.\overline {90}`

10/11 = 0.9090909...

∴ 10/11 =
`0.\overline {90}`

5) The height of the drone is flying above the ground =
`25(1)/(2)` ft.

The location of the fossil below the ground =
`7(1)/(4)` ft.

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

The location of the drone relative to the ground = +
`25(1)/(2)` ft. (The positive sign for a point above the origin)

The location of the fossil relative to the ground =
`-7(1)/(4)` 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 =
`25(1)/(2) - \left(-7(1)/(4) \right)`

`25(1)/(2) - \left(-7(1)/(4) \right) = 25(1)/(2) + 7(1)/(4) = 32(3)/(4)`

The distance between the drone and the fossil =
`32(3)/(4)` ft.

Therefore;

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