If theta is the smallest angle in a right triangle with side lengths of 3,4, and 5 units, then what does sin(theta) equal? 3/4 3/5 4/5 5/3

Step-by-step explanation:

Givens

From this information, we can deduct that the hypothenuse is 5 units long, and legs are 3 and 4 units long.

So, if theta is the smallest angle, then

Because this relation gives the following angle

Which is the smallest angle, because the other one is

Therefore, the right answer the second choice.

  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).

cut 138 centimeters off

step-by-step explanation:

250-112 = 138