2x + 3y = 26 -- equation 1
3x + 5y =40 -- equation 2
(Equation 1) * 3
6x + 9y = 78 -- equation 3
(Equation 2) * 2
6x + 10y = 80 -- equation 4
(Equation 4) - (Equation 3)
y = 2 -- equation 5
(Equation 5)'s value of y into (Equation 1)
2x + 3(2) = 26
2x = 20
x = 10
Thus x = 10 and y = 2
Hope that helps!
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:
Hence, the angle W is approximately 7°.
Answer:
-3 < x < -2
Step-by-step explanation:
Here, we want the interval in which g is increasing
The interval are the point in which we have an upward curve
From the given graph, we can see an upward curve at -3 < x < -2
And that is our answer
You subtract the intial from the final. your answer is0.94grams
