Since y must equal both 3x+2 and x-4, we deduce that 3x+2 and x-4 must equal each other. So, we have

Answer:
- 150π ft²
- 10π ft.
Step-by-step explanation:
Area of the sector :

Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
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Length of the arc :

Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

Teresa gave away 8 baseball cards and has 4 left. 8 plus 4 means she originally had 12. Right now she has 4 out of her original 12 cards remaining. This gives us 4/12. We can simplify this by dividing our greatest common factors. 4 goes into both parts of our fraction, when we divide each part by 4 we end up with 1/3. Since we are unable to simplify this problem any further, this means our solution and fraction is 4/12 aka 1/3.