Sin (x + y) = sin x cos y + cos x sin y
<span>sin 255 </span>
<span>= sin (210 + 45) </span>
<span>= sin 210 cos 45 + cos 210 sin 45 </span>
<span>= (-1/2)(√(2)/2) + (-√(3)/2)(√(2)/2) </span>
<span>= -√(2)/4 + (-√(6)/4) </span>
<span>= -√(2)/4 - √(6)/4 </span>
<span>= (-√(2) - √(6)) / 4</span>
Answer:
Step-by-step explanation: Convert the fractions to make all the denomitors /45 then add them together then you have your answer
<span>y - 6 = 5(x - 2)
As you know y - y1 = m(x - x1) where m = slope
in this case </span>y- 6 = 5(x - 2), m = 5
Answer: Slope m = 5
Answer:
The volleyball travel high enough to clear the top of the net.
Step-by-step explanation:
The height of a volleyball, h, in feet, is given by h = −16t² + 11t + 5.5, where t is the number of seconds after it has been hit by a player.
Now, for h = 7.3 feet, we can write
7.3 = - 16t² + 11t + 5.5
⇒ 16t² - 11y + 1.8 = 0
Using the quadratic formula we get,

⇒ 
⇒ t = 0.27 or t = 0.42
Therefore, for the two real positive values of t the volleyball travel high enough to clear the top of the net. (Answer)
M = Monthly Allowance.
N = 5/7 of M (Monthly Allowance)
5/7 of 5/7 of M = 9.60
5/7 * 5/7 * M = 9.60
Rearrange the formula to find M
M = 9.60 / (5/7) / (5/7) = 18.816
<h2>Monthly Allowance = $18.816</h2>