Equilateral triangle abc has a perimeter of 96 millimeters. a perpendicular bisector is drawn from angle a to side line segment b c at point m.

what is the length of line segment m c?

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe

Write the equations in logarithmic form 7^3=343