Question
180 litres of a mixture is made up of juice and soda in the
ratio of 4:5, respectively. If 36 litres of the mixture is withdrawn and replaced with the same amount of juice, what will be the new ratio of juice to soda?Solution
ATQ,
Remaining quantity of the original mixture = 180 – 36 = 144 litres
Quantity of juice in final mixture = 144 × (4/9) + 36 = 64 + 36 = 100 litres
Quantity of soda in final mixture = 144 × (5/9) = 80 litres
Ratio of juice and soda in the final mixture = 100:80 = 5:4
If cos θ + sec θ = √5, then the value of cos³ θ+ sec³ θ is:
If 17sin A = 8, where 0
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 (3cos A - sin A) = 2 cos (90° - A), then find the value of cot A.
What is the simplified value of the given expression?
2(sin² 15° + sin² 75°) + 4sin 30° - (2sec 60° + cot 45°)
If sec2 θ = 4, then find the value of sin2 θ + cosec (90 - θ) where 0o < θ < 90o.
...- Find the simplified value of the expression:sin 2 45 o  + sin 2 60 o  - (1/3) X tan 2 60 o
If sin(x-y) = 1  and cos(x+y) = 1 /√2  then what is measure of angle x.
