Answer:
<em>(d).</em>
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). <em>3 miles; it represents the original distance of the bird from its nest</em>
Answer:
D) cot(C) = 1/2.
Step-by-step explanation:
We can go through each choice and examine is validity.
Choice A)
We have:

Recall that secant is the ratio of the hypotenuse to the adjacent.
With respect to B, the adjacent is 6 and the hypotenuse is 7.
Therefore, sec(B) should be 7/6 instead.
A is incorrect.
Choice B)
We have:

Cotangent is the ratio of the adjacent side to the opposite.
With respect to B, the adjacent side is 6 and the opposite side is 3.
Therefore, cot(B) = 6/3 = 2.
B is incorrect.
Choice C)
C is incorrect for the reasons listed in A.
Choice D)
We have:

Again, cotangent is the ratio of the adjacent side to the opposite.
With respect to C, the adjacent side is 3 and the opposite side is 6.
So, cot(C) = 3/6 = 1/2.
Therefore, D is the correct choice!
Pounds is more if you do the math
Alright, so we know that there are 7 days a week with 24 hours per day.
24x7= 168 hours a week.
Convert the problem to an equation using the percentage formula: P% * X = Y.
Let's take the 40% that is Sleep and use it in the percentage formula with the 168 hours.
40%x168= roughly 67 hours.
Hope this helped!