Answer:

Step-by-step explanation:
Recall the negative angle identity for the sine function:
Then, we can find the value of
:

Now recall the definition of the tangent function:

Therefore, now that we know the value of
, we can solve in this equation for 

Answer:
Yes.
Step-by-step explanation:
Well if the sum of the angles is equal to 180, then it's a triangle. Since
, a triangle with the measures 52°, 18°, and 110° is possible. Hope this helps!
Answer:
The solution for the given algebraic equation is 
Step-by-step explanation:
Given algebraic equation as :
( x - 8 ) + 1 = 2 ( 18 x - 1 )
Now solving the equation while opening the brackets
So,
× x -
× 8 + 1 = 2 × 18 x - 2
Or,
-
+ 1 = 36 x - 2
or,
- 4 + 1 = 36 x - 2
or,
- 3 = 36 x - 2
or,
- 36 x = - 2 + 3
Or,
- 36 x = 1
or,
= 1
or,
= 1
∴ 71 x = - 2
I.e x = 
Hence The solution for the given algebraic equation is
Answer
This problem is mainly concerned with setting up an equation.
let's add the interest rates times their respective investment amounts:



simplify:

sum of interest:

1780 = (9000+x) 0.10 + x 0.06 + (11000-2x)0.08


solution:
He does not have any invested in the 6%, while he has 9000 invested at 10% and 11,000 invested at 8%
to check:


So this ended up being a trick problem because he does not actually have any invested in the 6% option.