Answer:
![\sin(\alpha+\beta) = -0.153](https://tex.z-dn.net/?f=%5Csin%28%5Calpha%2B%5Cbeta%29%20%3D%20-0.153)
Step-by-step explanation:
Let determine the angles behind each trigonometric expression:
![\cos \alpha = -\frac{8}{17}](https://tex.z-dn.net/?f=%5Ccos%20%5Calpha%20%3D%20-%5Cfrac%7B8%7D%7B17%7D)
![\alpha = \cos^{-1}\left(-\frac{8}{17} \right)](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%28-%5Cfrac%7B8%7D%7B17%7D%20%5Cright%29)
Given that
, the value of
is:
![\alpha \approx 241.928^{\circ}](https://tex.z-dn.net/?f=%5Calpha%20%5Capprox%20241.928%5E%7B%5Ccirc%7D)
![\sin \beta = -\frac{4}{5}](https://tex.z-dn.net/?f=%5Csin%20%5Cbeta%20%3D%20-%5Cfrac%7B4%7D%7B5%7D)
![\beta = \sin^{-1}\left(-\frac{4}{5} \right)](https://tex.z-dn.net/?f=%5Cbeta%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%28-%5Cfrac%7B4%7D%7B5%7D%20%5Cright%29)
Given that
, the value of
is:
![\beta \approx 306.870^{\circ}](https://tex.z-dn.net/?f=%5Cbeta%20%5Capprox%20306.870%5E%7B%5Ccirc%7D)
The sine function of the sum of angles can be determined by the following identity:
![\sin(\alpha + \beta)=\sin \alpha \cdot \cos \beta + \sin \beta \cdot \cos \alpha](https://tex.z-dn.net/?f=%5Csin%28%5Calpha%20%2B%20%5Cbeta%29%3D%5Csin%20%5Calpha%20%5Ccdot%20%5Ccos%20%5Cbeta%20%2B%20%5Csin%20%5Cbeta%20%5Ccdot%20%5Ccos%20%5Calpha)
If
and
, then:
![\sin (241.928^{\circ}+306.870^{\circ}) = (\sin 241.928^{\circ}) \cdot (\cos 306.870^{\circ}) + (\sin 306.870^{\circ})\cdot (\cos 241.928^{\circ})](https://tex.z-dn.net/?f=%5Csin%20%28241.928%5E%7B%5Ccirc%7D%2B306.870%5E%7B%5Ccirc%7D%29%20%3D%20%28%5Csin%20241.928%5E%7B%5Ccirc%7D%29%20%5Ccdot%20%28%5Ccos%20306.870%5E%7B%5Ccirc%7D%29%20%2B%20%28%5Csin%20306.870%5E%7B%5Ccirc%7D%29%5Ccdot%20%28%5Ccos%20241.928%5E%7B%5Ccirc%7D%29)
![\sin(241.928^{\circ}+306.870^{\circ}) = -0.153](https://tex.z-dn.net/?f=%5Csin%28241.928%5E%7B%5Ccirc%7D%2B306.870%5E%7B%5Ccirc%7D%29%20%3D%20-0.153)
To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2<span> by </span>x2<span>, you add the exponents to get </span>x4<span>. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an </span>x4<span> term, an </span>x3<span> term, an </span> x2<span> term, an </span>x<span> term, and a constant term. </span>
The divisibility rule
For example
The divisibility rule for three is adding the number together
1+8+6+4+2+6= 27
And 3 is divisible by 27
And for nine
It’s similar to three
Answer:
Many ways.
They can vote on it.
They can elect a council that will choose all the positions.
One person can just declare himself a position.
For 1 hour = $12
for 2 1/4 OR 9/4 hour, it would be = 12*9/4 = $27
so, your answer is $27