Express the following upto three significant places :
the height of a man, 5 feet 9 inches in centimetres (1 inch = 2.54 cm)

Express the following matrices as the sum of a symmetric and a skew symmetric matrix: : [[1,5],[-1,2]]

Sand is pouring from a pipe at the rate of 1 2 cubic cm./sec. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. At what rate is the height of the sand-cone increasing when the height is 3.5 cm. ?

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case: 2x + 3y =9.3bar5

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (1/5+2/5i)-(4+5/2i) .

Express the following matrices as the sum of a symmetric and a skew symmetric matrix : (ii) [{:(5,1),(7,0):}] (iii) [{:(2,1),(3,0):}]

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (5+9i) div (-3+4i) .

Express the following linear equation in the form ax + by + c = 0 and indicate the values of a, b and c in each case. 2x+3y=9.3overline5 .

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (5+ sqrt2 i)/(1-sqrt2 i) .