Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
Mean, or average, is solved by adding all the numbers and dividing by the number of numbers. The answer is 88.
Answer:
42$
Step-by-step explanation:
The person pays 33$ for a membership,and then visits the museum 9 times.So 33+(9*1)=42
Answer:
11x(7 - 3x)
Step-by-step explanation:
77x - 33x² ← factor out 11x from each term
= 11x(7 - 3x)
