Answer:
108
Step-by-step explanation:
9514 1404 393
Answer:
2x² +5x -12 = 0
Step-by-step explanation:
When p and q are roots of a quadratic, its factored form can be written as ...
(x -p)(x -q) = 0
Here, the roots are given as -4 and 3/2, so the factored form would be ...
(x -(-4))(x -(3/2) = 0
Multiplying by 2 gives us ...
(x +4)(2x -3) = 0
Expanding the product, we find the desired quadratic is ...
2x² +5x -12 = 0
We have been given a right angled triangle, hypotenuse is known, and angle has been given. we need to find the adjacent side to the angle.
we use trigonometry ratios.
the ratio where we relate the hypotenuse and adjacent side is the cosine.
cos θ = adjacent side / hypotenuse
where θ = 39°
hypotenuse - 17 m
adjacent side - x
we need to solve for x
cos 39° = x / 17
cos 39° = 0.77
0.7771 = x/17
x = 0.7771 x 17
x = 13.21 m
distance from Roman's feet to the base of the pole is 13.21
Answer:


Step-by-step explanation:
Given [Missing from the question]
Equation:

Interval:


Required
Determine the values of 
The given expression:

... shows that the value of
is positive
The cosine of an angle has positive values in the first and the fourth quadrants.
So, we have:

Take arccos of both sides

--- In the first quadrant
In the fourth quadrant, the value is:


So, the values of
in degrees are:

Convert to radians (Multiply both angles by
)
So, we have:



