Answer:
see explanation
Step-by-step explanation:
Using the subtraction identity for sine
sin(a + b) = sinacosb - cosasinb
Given
sin(360 - Θ)°
= sin360°cosΘ° - cos360°sinΘ°
= (0 × cosΘ ) - (1 × sinΘ)
= 0 - sinΘ
= - sinΘ ← as required
6.43125...
To the nearest cent, I'm assuming they mean, 6.43, since there is no 5 or higher number in the thousandths place...
Answer: His average speed for his total journey from York to Blackpool is approximately 61.41 km/h.
Step-by-step explanation:

Since, The distance covered by him from York to Leeds = 45 km,
The speed when he covered this distance = 54 km/ h
Thus, the time taken by him in travelling from York to Leeds = 45/54 hours (Because, Time = Distance/speed)
Now, The distance covered by him from Leeds to Blackpool = 42 km,
The time taken by him in travelling from Leeds to Blackpool = 35 minutes = 35/60 hours
Hence, the total time taken by him in this journey
hours
And, the total distance he covered= 45 + 42 = 87 km
Thus, His average speed
Answer: 2/5 is the closest one.
Step-by-step explanation:
1/3 (0.333,,,) is 0.05666... away from 0.39 .
2/5 (0.4) is 0.01 away .
3.8 (0.375) is 0.015 away .
9/25 (0.36) is 0.3 away .
2/5 is the closest one.