MATHEMATICS ENCYCLOPEDIA

If the given expression is Find the value of m-n Solving the above expression

Projectile  is the name given to a body which, after having been given an initial velocity, is allowed to move under the influence of gravity alone. A body projected from a height h with velocity u at an angle θ with the horizontal

Projectile  is the name given to a body which, after having been given an initial velocity, is allowed to move under the influence of gravity alone. A body projected from the ground with a velocity u at an angle θ with the horizontal.

Projectile is the name given to a body which, after having been given an initial velocity, is allowed to move under the influence of gravity alone. A body projected horizontally with a velocity u from a height h Horizontal and vertical distances covered in time t are Differentiating above equations with respect to time t, we get the horizontal and vertical velocities Equation of trajectory Time of flight  Horizontal range Magnitude of resultant velocity at time t  The angle α which the resultant velocity vector subtends with the vertical is given by 

AB and CD intersect each other at O. Given ∠EOA = 90°, ∠EOC = x, ∠BOC = y and ∠BOD = 2y + 30. Find the value of x and y and ∠AOD Since CD is a straight line, therefore the sum of 2y + 30 and y must be 180 degree Hence, 2y + 30 + y = 180 3y + 30 = 180 3y = 150   y = 50° Also AB is a straight line therefore the sum of angles EOA, EOC and BOC must be 180 degree. Hence, 90 + x + y = 180 90 + x + 50 = 180  x + 140 = 180 x = 40° Therefore, x = 40° and y = 50°.

Find a, b and c from the following figure below Since CD is a straight line, therefore the sum of angles 4x, 3x and 5x must be 180° Hence, 4x + 3x + 5x = 180 →  12x = 180 →  x = 15 ° Now, we see that following are the equal angles because they are vertically opposite, hence  a = 5x  b = 3x  c = 4x Therefore,    a = 5x = 5*15 = 75°   b = 3x = 3*15 = 45 °  c = 4x = 4*15 = 60 °

The magic hexagon, the following is the only known magic hexagon ever. There are no other magic hexagon of any size. Size of the magic hexagon Properties of the magic hexagon