Using the trigonometric ratio to find the side length in a right triangle ‼️‼️ round to the nearest 10th ‼️ ❓

Step-by-step explanation:

Cos Q = adj/hyp

Cos 66 = x/13

x = 13 × cos 66

x = 13 × 0.4067

x = 5.287

x = 5.3

x ≈ 5.3

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos66° = =

Multiply both sides by 13

13 × cos66° = x, thus

x ≈ 5.3 ( to the nearest tenth )

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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  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).