Let the initial quantities of alcohol and water be 3x and 2x liters, respectively. When 15 liters of water is added, the new ratio becomes 3:5: (3x) / (2x + 15) = 3/5 Cross-multiply: 5 × 3x = 3 × (2x + 15) 15x = 6x + 45 9x = 45 x = 5 Initial alcohol = 3x = 15 liters Correct answer: d) 15 liters
If cot5A = tan(3A-14˚), find the value of A? Given that 5A and 3A-14˚ are acute angles.
If tan 3.5θ x tan 6.5θ = 1 then the value of tan 5θ is
If cos² x + sin x = 5/4, then find the value of 'sin x'.
If A and B are complementary angles, then the value of-
sin A cos B + cos A sin B – tan A tan B + sec 2
If cot2A = tan(A+6˚ ) , find the value of A? Given that 2A and A+6˚ are acute angles.
sin2 7˚ + sin2 9˚ + sin2 11˚ + sin2 12˚ + ……… + sin2 83˚ = ?
If sin x + cos x = √2 sin x, then the value of sin x - cos x is:
Simplify: sin 780° sin 480° + cos 120° sin 30°
