Use green's theorem to evaluate c f · dr. (check the orientation of the curve before applying the theorem.) f(x, y) = x + 10y3, 10x2 + y c consists of the arc of the curve y = sin(x) from (0, 0) to (π, 0) and the line segment from (π, 0) to (0, 0)

The hawaiian alphabet has 12 letters. how many permutations are posible for each number of letters?

When a rectangle is dilated, how do the perimeter and area of the rectangle change?

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.