Answer: East
Step-by-step explanation:
Given
A spinner initially pointing towards west is made to move [tex]2\frac{1}{4}[/tex] revolutions clockwise and [tex]3\frac{3}{4}[/tex] revolutions counterclockwise.
After one complete revolution pointer points at the same direction.
So, the net movement of the spinner is
[tex]\Rightarrow 3\dfrac{3}{4}-2\dfrac{1}{4}\\\\\Rightarrow \dfrac{15}{4}-\dfrac{9}{4}\\\\\Rightarrow \dfrac{15-9}{4}\\\\\Rightarrow \dfrac{6}{4}\ \text{or}\ 1\dfrac{2}{4}\ \text{CCW}[/tex]
That is 1 and half-revolution counter clockwise
After 1 revolution, direction is same, but after half revolution it points towards east.
The final direction is east.
