Answer:
√(2 + √3)/4
Step-by-step explanation:
Sine 5π/12 = Sine (5π/6)/2
Recall
π = 180°
Thus,
Sine (5π/6)/2 = Sine (5×180 /6)/2
= Sine 150/2
Recall
Sine θ/2 = √(1 – Cos θ)/2
Thus,
Sine 150/2 = √(1 – Cos 150)/2
But, Cosine is negative in the 2nd quadrant. Thus,
Cos 150 = – Cos 30 = –√3/2
Thus,
√(1 – Cos 150)/2 = √(1 – –√3/2 )/2
= √(1 + √3/2 )/2
= √[(2 + √3)/2 ÷ 2]
= √[(2 + √3)/2 × 1/2]
= √(2 + √3)/4
Therefore,
Sine 5π/12 = √(2 + √3)/4
He sold one half of the pie because if you do it in your head split one half into 3 and get one sixth, then that slit in two is 1 twelfth so if he sold six pieces and six is one half of twelve then you get one half.
Answer:
-75 and -77
Step-by-step explanation:
This can be wrote as
. Combine like terms and subtract 2 from both sides to get
. Divide by two to get
and then add two to get -75.
Answer:
160
Step-by-step explanation:
15% + 5% = 20%
80%=0.8
200x0.8=160
Answer:
Step-by-step explanation:
Volume of the cube = s^3
s = 9cm
V = 9 * 9 * 9
V = 729 cm^3
d = mass / volume
d = 3645 / 729
d = 5 grams / cm^3