A flagpole at a right angle to the horizontal is located on a slope that makes and angle of 10 degrees with the horizontal. The flagpole casts a 30-meter shadow down the slope when the angle of elevation of the sun is 25 degrees. What is the length of the flagpole to the nearest tenth of a meter?

The sales totals at macy's food store have increased exponentially over the months. which of these best shows the sales in the first three months?

Which of the statements about the graph of the function y = 2x are true? check all of the boxes that apply. the domain is all real numbers x because the exponent of 2 can be any real number when the x-values increases by 1 unit, the y-value multiplies by 2. the y-intercept is (0, 1). the graph never goes below the x-axis because powers of 2 are never negative. the range is all real numbers.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?