A car covers a distance of 240 km at a speed of 60 km/h. It then covers another 180 km at a speed of 90 km/h. What is the average speed of the car for t...
If sec x - tan x = 1/3, find sec x + tan x:
A vessel contains a mixture of milk and water in the ratio 3: 2. If 10 liters of the mixture are taken out and replaced with 10 liters of water, the rat...
765 ÷ 25 × 100 ÷ 20 + 13 = x3 + 41, find 'x'
Two points A and B are located such that the distance between them is 100 meters. If point A is at the origin and point B is at an angle of 30 degrees f...
Prove the identity: tan² θ + 1 = sec² θ
If a + b + c = 0, find the value of a³ + b³ + c³ .
An amount of ₹10000 is invested in two parts at 8% and 6% per annum simple interest. If the total interest earned after 3 years is ₹2070, determine ...
A rectangle has a perimeter of 60 cm, and the ratio of its length to its width is 3:2. Find the length of its diagonal.
A cylindrical tank has a radius of 4 meters and a height of 6 meters. Calculate the total surface area of the tank.
