Answer:
The length of the third side of given triangle lies between 6.5 and 19.9.
Step-by-step explanation:
The law of cosine is as follows
---------------1
⇒ a and b are the given sides of the triangle and c is the third side, and 
is the angle between a and b .
In equation 1 , the maximum and minimum values of 
are 1 and -1.
so the value of c lies in between
⇒ 
and 
= 
Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|
so the third side lies between 6.5 and 19.9
Answer:
x = 42 degrees.
Step-by-step explanation:
We see a cyclic quadrilateral, so by the cyclic quadrilateral theorem we notice that the angle marked with x degrees is equal to the angle marked with 42 degrees. Hence, x = 42 degrees.
Answer:
Step-by-step explanation:
Answer:
x ∈ (-∞ , -2) ∪ (1, 3)
Step-by-step explanation:
The expression is already factored. Note that for the polynomial that appears in the numerator 
there are 2 roots:
For the polynomial that appears in the denominator there is 1 root:
Note that does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.
With these three roots we do the study of signs to find out when 
Observe the attached image
Note that:
when 
when 
when 
Finally, we have the solution:
x ∈ (-∞ , -2) ∪ (1, 3)
