We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2
So,
cos 130 + cos 110 + cos 10
cos 130 + 2cos (110+10)/2 × cos( 110-10)/2
cos 130 + 2cos 60 × cos 50
cos ( 180 - 50 ) + 2cos60 cos 50
We know, cos ( 180 - A ) = -cos A
2cos 60 cos 50 - cos 50
Also, cos 60 = 0.5
2×0.5 cos 50 - cos50
cos 50 - cos 50
0 = RHS.
Hence proved
Answer:
The possible X values are the natural numbers.
RRL: X=3
AARRL: X=5
AARL: X=4
RRAL: X=4
ARL: X=3
Step-by-step explanation:
Since we are going to observe the cars and the experiment will end when one of them turns left, and X is the number of cars observed, the possible X values will be the natural numbers (1,2,3....). Clearly we can observe any number of cars before one of them turns left. We cannot observe negative numbers of cars, or zero cars (We are going to observe at least one car), or fractions of cars.
Given the outcomes below, find their associated X values:
For this part of the problem, we are going to count how many cars we observed in total and that will be the X value.
RRL: X=3
AARRL: X=5
AARL: X=4
RRAL: X=4
ARL: X=3
Mae walked 8 3/10 km on the last day.
If you add 4 2/5+5+7 3/10=16 7/10. Then you subtract 16 7/10 from the total, or 25 km and get 8 3/10 km. Hope this helped:)
Answer:
1 hour and 7.5 minutes or 67.5 per day will help him reach his goal of 9 hours per 8 days.
Step-by-step explanation:
9 hours
- 8 days
________
8 hours
1 hour left
1 hour is 60 minutes and 60/8 is 7.5 so each day will have added to it 7.5 minutes wish makes the answer 1 hour and 7.5 minutes or 67.5 minutes.
