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
Answer:
48π
Step-by-step explanation:
Volume of cylinder = πr^2l
Answer:
20% probability
Step-by-step explanation:
First, we need to calculate the area of all the figures inside the rectangle.
Area of triangle= 1/2 BH
So, 3x2=(6)
Area of Square= L^2
3x3=(9)
Area of rectangle= LxW
=60.
60+9+6= 75.
75 is the total area.
Now, lets find the added area of only the triangle and square.
9+6= 15
The probability will be 15/75=
Convert into percent form
= 20%
Hope this helps and please mark me brainliest :)
Answer:
how to solve it is in the question above I hope it helps
Answer:
14
Step-by-step explanation:
it is 14 because when you divide 40 to 14 it is ...