Find the value of x round to the nearest tenth the diagram is not to scale.

6.6 cm

Step-by-step explanation:

The tangent function relates the 35° angle, the adjacent side 12 cm, and the unknown opposite side, x.

We can write tan 35° = opp / adj = x / (12 cm)

Multiplying both sides by 12 cm isolates (solves for) x:

(12 cm)(tan 35°) = x         Note that 35° is equivalent to 0.6109 radians.

Thus, x = (12 cm)(0.5484) = 6.58 cm, or 6.6 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).