Three grams for one penny. three times eight (pennies)=24 grams
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)
The volume of the tuna can is 663.66 cm^3.
Hope that helps!
Because 16/5 and 48/15 are equivalent fractions
They all have to have common denominators
The common denominator is 32
3/4= multiply by 8/8= 23/32
3/16= multiply by 2/2= 6/32
11/32. Is. 11/32
1/8 multiply by 4/4 =. 4/32
Smallest to greatest is 1/8. 3/16. 11/32. 3/4
