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Formula to calculate trangle volume?
The volume of a triangle can be calculated with the formula: volume=1/2*length*width*height.
What is the discriminant for this equation 4x2-3x-8 equals 0?
The coefficients are a = 4, b = -3, c = -8. The discriminant is calculated with the formula b2 - 4ac, so just replace the coefficients in this formula.
What is the area of the triangle ABC with vertices A at -1 4 B at 1 -2 and C at 5 1?
The area is calculated easily using the determinant of the matrix of coordinates, or Heron's formula and is 15 square units.
What is the formula of cross sectional area for a coin?
Well, honey, the formula for the cross-sectional area of a coin is just π times the radius squared. So, measure that radius, square it, multiply by π, and voilà, you've got your cross-sectional area. Just don't go spending all that knowledge in one place, now.
Why does the formula for standard deviation have a square root in it?
The formula for standard deviation has both a square (which is a power of 2) and a square-root (a power of 1/2). Both must be there to balance each other, to keep the standard deviation value's magnitude similar to (having the same units as) the sample numbers from which it's calculated. If either is removed from the formula, the resulting standard deviation value will have different units, reducing its usefulness as a meaningful statistic.
