#4 Find value of x. Round answer to nearest tenth. Help please.

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is x

With ∠33 as the reference angle,

The adjacent side of the right angle triangle is 15

The unknown side is the opposite side of the right angle triangle.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 33 = 15/x

x = 15/Cos 33 = 15/0.839

x = 17.9 to the nearest tenth

  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).

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!