<em>θ</em> is given to be in the fourth quadrant (270° < <em>θ</em> < 360°) for which sin(<em>θ</em>) < 0 and cos(<em>θ</em>) > 0. This means
cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1 ==> sin(<em>θ</em>) = -√[1 - cos²(<em>θ</em>)] = -3/5
Now recall the double angle identity for sine:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
==> sin(2<em>θ</em>) = 2 (-3/5) (4/5) = -24/25
Answer:
209.44
Step-by-step explanation:
V=pie r square h by 3
=
π
r
2
h
3
20 beacause 120 divided by 6 equals 20 so 60x20=120
Answer:
(x + 2)² = 8
Step-by-step explanation:
To complete the square, write the equation standard form.
-4 + 4x + x² = 0
x² + 4x - 4 = 0
Take the middle term 4x and divide the coefficient in 2 and square it. Here it is 4/2 = 2. 2² = 4. Add 4 to both sides.
x² + 4x + 4 - 4 = 0 + 4
(x + 2)² - 4 = 4
(x + 2)² = 8
Ginny is correct. Five quarters makes it $1.25 plus three dimes which is $.30 makes it $1.55