Answer:
464 in²
Step-by-step explanation:
Surface area of a figure is the total area of its sides.
We shall assume that the shape is a solid.
2 × (5 × 10) = 2 × 50 = 100
2 × 1/2 × 4(10+16) = 4 × 26 = 104
10 × 10 = 100
10 × 16 = 160
Total area = 100 + 104 + 100 + 160
= 464 in²
-1 because it goes from quadrant 4 to quadrant 2
Answer:
Traffic traveling north on Main Street must make a 125° turn onto the new road. This is the angle between where the traffic was originally headed and where it is headed after it makes the turn. Traffic on 2nd Street is traveling south, the opposite direction.
Step-by-step explanation:
I haven't used distance formula or Pythagoras theorem, not sure why that's given at the bottom of your question. check the image. that is how I solved it
Let 
, so that differentiating both sides wrt 
gives
If 
and 
, the above reduces to
This is the slope of the tangent line, which has equation
