Dado el conjunto A = {x ∈ N / x es divisor de 48}, determina, en cada caso, un conjunto B tal que se cumplan las condiciones indicadas.

a. A U B = {1, 2, 3, 4, 6, 8, 12, 16, 20, 24, 28, 48}

b. A ∩ B = {1, 2, 3, 6}

c. A U B = {1, 2, 3, 4, 5, 6, 8, 12, 16, 24, 40, 48}

d. A ∩ B = ∅

Find the equation of a line whose slope is 2/5 and y- intercept is 2.write your answer in the form 1) ax+by+c=02) x/a+y/b=1

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. your data indicates that of twenty-one days with less than three inches of snow, five were snow days, while of the eight days with more than three inches of snow, six were snow days. if all you know about a day is that it is snowing, what is the probability that it will be a snow day?

Prove sin2a + cos2a - 1 / sin2a + cos2a + 1 = 1 - tana / 1 + cota