If 180° < <em>θ</em> < 270°, then 90° < <em>θ</em>/2 < 135°, which places <em>θ</em>/2 in the second quadrant so that sin(<em>θ</em>/2) > 0 and cos(<em>θ</em>/2) < 0.
Recall that
cos²(<em>θ</em>/2) = (1 + cos(<em>θ</em>))/2
==> cos(<em>θ</em>/2) = -√[(1 + (-15/17))/2] = -1/√17
and
sin²(<em>θ</em>/2) = (1 - cos(<em>θ</em>))/2
==> sin(<em>θ</em>/2) = +√[(1 - (-15/17))/2] = 4/√17
Then
tan(<em>θ</em>/2) = sin(<em>θ</em>/2) / cos(<em>θ</em>/2)
… = (4/√17) / (-1/√17)
… = -4
The annual interest rate will be $705.60
$29 + $4.50x = $42.50
$29-29 + $4.50x = $42.50-$29
$4.50x = $13.50
$4.50x/$4.50 = $13.50/$4.50
x = 3
She can buy 3 bracelets.
Answer:
200 tickets
Step-by-step explanation:
I hope this helps you :)
<em><u>-KeairaDickson</u></em>
Answer:
Yes
Step-by-step explanation:
All of these numbers are real numbers. None of them are complex numbers or irrational like <em>i</em>, s the answer is yes.
I have provided a chart to help you out with this topic.
Hope this helps! :)