Answer:
and 
Step-by-step explanation:
The ratios of sine and cos are defined as follows:
, and

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
Thus, we can now write:


The correct answer is the first answer choice.
Hello!
Since D is the midpoint and the two equations are and both sides of point D the equations equal each other
9x - 7 = 3x + 17
Now you solve it algebraically
Add 7 to both sides
9x = 3x + 24
Subtract 3x from both sides
6x = 24
Divide both sides by 6
x = 4
Now we put this into both equations and add them
9(4) - 7 = 29
3(4) + 17 = 29
29 + 29 = 58
The answer is 58 units
Hope this helps!
Answer:
The value of
is -30.
Step-by-step explanation:
Let
, we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:
(1)
(2)
(3)
From (3) we find the least root:
![x = \sqrt [3]{\frac{8}{27}}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%7B%5Cfrac%7B8%7D%7B27%7D%7D)

By (2) we have the value of
:

