Answer:
3
Step-by-step explanation:
P is the in-center
⇒PA=PE=PD because they are in-radius of the in-circle
We know that, tangent segments drawn from a point outside the circle are always equal in length
⇒DK=EK=7.2
In right triangle PKE,
using Pythagoras' Theorem : 
⇒
⇒
⇒
⇒
Therefore, 
0.0340909091 is the answer
72/4 = 18 (18)(2/3) = 12. The answer is $12.00 per hour
Step-by-step explanation:
1.


Therefore,

2.


Use the identity

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

Solving for tan x:


If

and

share no common elements, then

, which means

On the other hand, if the smaller set is entirely contained within the larger set, i.e.

, then

, and so

.