Answer:
![21^{\circ}](https://tex.z-dn.net/?f=21%5E%7B%5Ccirc%7D)
Step-by-step explanation:
The Law of Sines is given by
and works for every triangle.
Substituting given values, we have the following equation:
![\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2068%5E%7B%5Ccirc%7D%7D%7B18%7D%3D%5Cfrac%7B%5Csin%20C%7D%7B7%7D%2C%20%5C%5C%5C%5C%5Csin%20C%3D%5Cfrac%7B7%5Csin%2068%5E%7B%5Ccirc%7D%7D%7B18%7D%2C%5C%5C%5C%5CC%3D%5Csin%5E%7B-1%7D%280.36057149899%29%2C%5C%5C%5C%5CC%5Capprox%20%5Cboxed%7B21%5E%7B%5Ccirc%7D%7D)
*Note that because
, when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
Answer:
y = -3x + 5
Step-by-step explanation:
Find the graph attached
The standard form of calculating the equation of a line is expressed as;
y = mx+c
m is the slope
c is the intercept
Using the coordinate points (0, 5) and (1, 2)
m = 2-5/1-0
m = -3/1
m = -3
Get the intercept
Substitute m = -3 and (0,5) into y = mx+c
5 = -3(0) + c
5 = c
c = 5
Get the required equation
Recall that y = mx+c
Substitute the gotten values
y = -3x + 5
Answer:
A=73
Step-by-step explanation:
sum of interior angles is (n-2)*180
5 sides, so (5-2)*180 = 3x180=540
sum of current interior angles (118+96+115+104)=433
subtract 540-433=107
This is NOT "A", this is your final interior measurement.
To get "A", take 180-107=73
A=73 degrees
Answer:
11.4
Step-by-step explanation:
b/sinB = a/sinA
b/sin(42) = 17/sin(88)
b = 11.38215401