Answer:
(a) 
(b) Domain:
<em>(See attachment for graph)</em>
(c) 
Step-by-step explanation:
Given



Solving (a): A function; l in terms of w
All we need to do is make l the subject in 
Divide through by 2

Subtract w from both sides


Reorder

Solving (b): The graph
In (a), we have:

Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be 
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To check this
When 



When 


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<em>See attachment for graph</em>
<em></em>
Solving (c): Write l as a function 
In (a), we have:

Writing l as a function, we have:

Substitute
for l in 
becomes

Answer:
37.3 miles
Step-by-step explanation:
180 - 59.83 - 55.54 = 64.63°
39/sin64.63 = X/sin59.83
X = 37.3157217 miles
Answer:
Yes, it could be a probability
Step-by-step explanation:
The probability of an event HAS to be between the numbers 0 and 1. Not less than 0, not greater than 1. The number 0.12 is between 0 and 1, thus, making it a valid probability.
ANSWER
See attachment
EXPLANATION
The given inequality is

This implies that,

Multiply both sides of the second inequality by -1 and reverse the inequality sign.

The graphical solution to this inequality is shown in the attachment.