2cos^2 x + 3sin x = 0
2(1 - sin^2 x) + 3sin x = 0
2 - 2sin^2 x + 3sin x = 0
2sin^2 x - 3sin x - 2 = 0
Let sin x = m, then
2m^2 - 3m - 2 = 0
2m^2 + m - 4m - 2 = 0
m(2m + 1) - 2(2m + 1) = 0
(m - 2)(2m + 1) = 0
m = 2 or m = -1/2
Now, sin x = -1/2
Therefore, x = 1/6(12nπ - π) and 1/6(12nπ + 7π)
Conner played a total of 6 +3 + 6 = 15 games. He won or tied 6+ 3 = 9 games.
His percentage is 9/15 = 0.6 x 100 = 60%
April played 5+7+4 = 16 games and won or tied 5 +7 = 12 games.
Her percentage is: 12/16 = 0.75 x 100 = 75%
Tony played 20 games and won or tied 14.
His percentage is: 14/20 = 0.7 x 100 = 70%
April has the highest percentage so she is the one who should play.
Package A = $276 for 12 tickets (2 x 6) // 276 divided by 12 = $23 per ticket
Package B = $336 for 16 tickets (2 x 8) // 336 divided by 16 = $21 per ticket
$23 - $21 = $2
Package A charges $2 more per ticket.
Answer: 1/2 times 6x equals 3x and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.
Step-by-step explanation:
Answer:
£78.4
Step-by-step explanation:
Since he earns £9.80 per hour, we multiply this by how many hours there are. So £9.80 times 8 is £78.4. I hope this helps!
