First we need to see in which quadrant 11pi/6 lies And it lies in fourth quadrant. And to find the reference angle in the fourth quadrant, we need to subtract the given angle from 2 pi . For e.g if the angle is 5pi/3, then the reference angle is 2pi - (5pi/3) = pi/3 .
So for the given question, reference angle of 11pi/6 is
And that's the required reference angle .
Step-by-step explanation:
1)ab-c
=2(3)-4
=6-4
=2
2)6c-2b
=6(4)-2(3)
=24-6
=18
3)a+b-c+5
=2+3-4+5
=10-4
=6
5)7c-2a
=7(4)-2(2)
=28-4
=24
4 Aces, 4 2's, 4 3's 4 4's
= 16 cards total out of 52 cards
so probability would be 16/52 which reduces to 4/13
Answer: 8 members of the science group decided to watch the science fiction movie
Step-by-step explanation:
When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie. This means that the total sum of the members of the group that decided to watch the science fiction movie and the members that did not watch the science fiction movie is 40.
If 1/5 of the group decides to watch a science friction movie, that means that 1/5 of 40 watched the science fiction movie. It becomes
1/5 × 40/= 40/5 = 8
8 members of the science group decided to watch the science fiction movie.
14.99*.12=1.80
14.99-1.8=13.19
13.19*.0625=.94
13.19+.94=14.13
final price 14.13
