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°.
A
a) y+6x=5 if x= -1 then y+6(-1)=5 then y = 11
b) same thing if x = 3 then y+6(3)=5 y+18=5 subtract both sides by -18 and leave y on left then add 5+(-18)= 13 then y=13
B same as above
question (a) asks you to solve for y because x is -2
(b) asks you to solve for x because y is known
3x+2y=-6 if y = 3 you write 3x+2(3)=-6 3x+6=-6 move the +6 over to right side by subtracting 6 from both side 3x=-6 + -6 so 3x=-12 to get rid of the 3 and only leave the x you want to divide both side by 3 then x= -12/3 then the answer would be x=-4
Answer:
10^6*10000=10,000,000,000
Step-by-step explanation:
Answer:
it is the first one yy,yg,yb,gb,gg,and bb
your welcome
Step-by-step explanation:
Answer:


Step-by-step explanation:
Given;
(a) y = tan(5t)

Solving for (a)
y = tan(5t)
let u = 5t
⇒y = tan(u)
du/dt = 5
dy/du = sec²u


Solving for b;
let u = 5 - v²
du/dv = -2v
let v = 5+ v²
dv/du = 2v

