You would have to find a common denominator
When you are finding 2 consecutive numbers that a square root falls between, you have to think about what the closest whole numbers are, for example, if you have the sq root of 17, it would fall between 4² (16) and 5² (25).
So, in this case, √105 would fall between 10² (100) and 11² (121)
Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
Answer:
R.H.S:
= cos ( 90 - theta )
= cos (90) cos(theta) + sin(90) sin(theta)
= 0 + sin(theta) =>[ cos(90) = 0 , sin(90) = 1]
= sin(theta)