Answer:
x = 89. 98⁰
Step-by-step explanation:
tan(x) = 29/ 14
x = tan-¹ (29/14)
x = 89. 98⁰

> 0
First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:

= 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <


< x < 5
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <

:
Let's pick x - 0. Then,

> 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval

< x < 5:
Let's pick x = 2. Then,

> 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,

> 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <

and x > 5
Answer: x <

and x > 5
we have

we know that
<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.
So
in this problem
the constant term is equal to 
and the first monomial is equal to
-----> coefficient is 
So
possible values of p are 
possible values of q are 
therefore
<u>the answer is</u>
The all potential rational roots of f(x) are
(+/-)
,(+/-)
,(+/-)
,(+/-)
,(+/-)
,(+/-)
Answer:
33.85 units^2
Step-by-step explanation:
you must first draw the triangle on the plane using the equations (see
attached file), you will have a right angle triangle with a height of 192 and a base of 6.
then you calculate the angle with the tangent function = 88.21
Then you use the small triangle to find the value of a (see attached file).
Finally, you propose an equation for X to find one of the sides of the triangle, once you have x squared it, and you already have the area,
i attached procedure