Viola drives 2 kilometers up a hill that makes an angle of 9 with the horizontal. to the nearest tenth of a kilometer, what horizontal distance jade she covered?

cosine ( CAH) = Adjacent/ hypothenus

cos9 = x/ 2

let x represent the horizontal distance

2 cos 9  = x

x = 2 (0.98768834)

x = 1.975

x = 1.97

therefore the horizontal dstance jade covers is 1.97km

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

  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).