Answer:
hmm bro it's kinda blurry can u retake the pic? i will help u to solve it
Answer:
26 2/3 mph
Step-by-step explanation:
time = distance/speed
speed = distance/time
Use the first of these relations to find Aidan's time getting to school:
time = 16 mi/(40 mi/h) = 16/40 h = 0.4 h
Then the time Aidan takes to get home is 0.6 hours, and his average speed for that trip home is ...
speed = 16 mi/(0.6 h) = 26 2/3 mi/h
Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) =
= 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven