Question
The sum of the squares of three natural numbers is 342.
These numbers are in the ratio of 3:5:2. Determine the difference between the largest and smallest numbers.Solution
Let the three numbers be '3x', '5x', and '2x'.ATQ;(3x) 2 + (5x) 2 + (2x) 2 = 342Or, 9x2 + 25x2 + 4x2 = 342Or, 38x2 = 342Or, x2 = (342/38)So, x = ±9Since, the given numbers are natural we will take the positive root only. So, x = 3Smallest number = 2x = 2 X 3 = 6Greatest number = 5x = 5 X 3 = 15 Required difference = 15 - 6 = 9
The process involved in making soap is
A ray of light is incident on a transparent medium at an angle of 60°. The reflected ray of light is found to be completely Q.4 polarized. Then, the r...
A non-conducting sphere of radius R has a radially varying charge density ρ(r) = k•r. Find the electric field at a distance r < R.
A stream of water flowing horizontally with a speed of 20 m/s pushes out of a tube of cross-sectional area 10-1m2 and hits at a v...
What is the formula for density?
Which part of a plant is responsible for photosynthesis?
What is the wavelength of visible spectrum?
Energy that is produced commercially from coal is called –
The unit of measurement of noise is –
What is colour of light related to?