Answer:
The angle W is approximately 7°.
Step-by-step explanation:
Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:
(1)
Where:
- Side lengths, in centimeters.
- Angle, in sexagesimal degrees.
If we know that
,
and
, then the length of the side x is:


By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:
(2)

![W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]](https://tex.z-dn.net/?f=W%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%5B%5Cleft%28%5Cfrac%7Bw%7D%7Bx%7D%20%5Cright%29%5Ccdot%20%5Csin%20X%5Cright%5D)
If we know that
,
and
, then the angle W is:
![W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]](https://tex.z-dn.net/?f=W%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%5B%5Cleft%28%5Cfrac%7Bw%7D%7Bx%7D%20%5Cright%29%5Ccdot%20%5Csin%20X%5Cright%5D)

Hence, the angle W is approximately 7°.
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Answer:
6 phones and 18 accessories
Step-by-step explanation:
12P + 3.50A = 135
A = 12 + P
12P + 3.50(12 + P) = 135,
12P + 42 +3.50P = 135
15.50P = 93
P = 6 phones
A = 12 + 6 = 18 accessories
Answer:
C
Step-by-step explanation:
It is C because multiplying exponents means you add the top number while dividing means subtract.