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)
Answer:
2 11/15
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=2.73¯¯¯(1)
With 1 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 101 = 10
Equation 2:
10X=27.33¯¯¯(2)
Subtract equation (1) from equation (2)
10XX9X===27.33...2.73...24.6
We get
9X=24.6
Solve for X
X=24.69
Multiply to eliminate 1 decimal places.
Here you multiply top and bottom by 1 10's
= 101 = 10
24.69×1010=24690
Find the Greatest Common Factor (GCF) of 246 and 90, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,
246÷690÷6=4115
Simplify the improper fraction,
=21115
In conclusion,
2.73¯¯¯=2 11/15
B. Fiscal Policy. Hope that helps you.
Answer:
x = 52
Step-by-step explanation:
Vertical angles are angles that are opposite from each other.
According to the vertical angles theorem, vertical are are congruent. Therefore, if the angles opposite of x is 52 degrees, angle x also equal 52 degrees.
