If cos f° = four ninths and the measure of segment XW is 16 units, what is the measure of segment XY?

D. 36 units

Step-by-step explanation:

The description of the triangle is:

triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees

Therefore, side XY is adjacent to f and side XY is the hypotenuse

From definition:

cos(f) = adjacent/hypotenuse

Replacing:

cos(f) = XW/XY

4/9 = 16/XY

XY = 16*9/4

XY = 36 units

i used to know how to do this in 7th but i forget easily

step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).