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Mental Math Strings. Mentally:. Start with the number of sides in a pentagon. Add the number of sides in a triangle. Divide by the number of sides in an octagon. Multiply by the number of diagonals in a rectangle. Add the minimum number of points needed to determine a line.
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Mentally: Start with the number of sides in a pentagon. Add the number of sides in a triangle. Divide by the number of sides in an octagon. Multiply by the number of diagonals in a rectangle. Add the minimum number of points needed to determine a line. Add the square of the number of angles in a parallelogram. Divide by the square root of the number of sides in a trapezoid.
Using Pencil and Paper: Consider y = 6x + 12. Write down the y-intercept. Add the slope of the line. Divide that by the x-intercept. Add the value of y when x = ½ . Add the value of x when y is 6. Multiply that by the square of the zero of the function.
Write down the tan 45° . Divide that by the sin 30° . Cube this value. Multiply that result by cos 120° . Add the sin 270° . Multiply by cos 180° . Multiply by 5π/4 . Call that result “x” and find tan(x).