-2(1-7n)-5n=34
Multiply the bracket by -2
(-2)(1)=-2
(-2)(-7n)=14n
-2+14n-5n=34
-2+9n=34
Move -2 to the other side. Sign changes from -2 to +2.
-2+2+9n=34+2
9n=34+2
9n=36
Divide by 9 for both sides
9n/9=36/9
n=4
Answer: n=4
Answer:
37/100 and .37
Step-by-step explanation:
What you do is you put 37 over 100 to get 37/100 and that is your mixed number. How to get the decimal you divide to get .37.
Answer:
0.90
Step-by-step explanation:
090. = 0.90
30/2.80
28
00
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
