X= pi/4 +k(pi)
(This may not be correct sorry)
Answer:
Decimal 1/20= .05
Percent 1/20= 5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
x =(7-√193)/18=-0.383
x =(7+√193)/18= 1.161
Answer:
![C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83](https://tex.z-dn.net/?f=C%3D25%5E%7B%5Ccirc%7D%2C%5C%5Ca%5Capprox%2010.72%2C%5C%5Cb%5Capprox%2011.83)
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be
.
In any triangle, the Law of Sines is given by
.
Therefore, we have:
![\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2090%5E%7B%5Ccirc%7D%7D%7Bb%7D%3D%5Cfrac%7B%5Csin%2025%5E%7B%5Ccirc%7D%7D%7B5%7D%2C%5C%5C%5C%5Cb%3D%5Cfrac%7B5%5Csin90%5E%7B%5Ccirc%7D%7D%7B%5Csin%2025%5E%7B%5Ccirc%7D%7D%3D11.8310079158%5Capprox%20%5Cboxed%7B11.83%7D)
![\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B%5Csin%2065%5E%7B%5Ccirc%7D%7D%3D%5Cfrac%7B5%7D%7B%5Csin25%5E%7B%5Ccirc%7D%7D%2C%5C%5Ca%3D%5Cfrac%7B5%5Csin%2065%5E%7B%5Ccirc%7D%7D%7B%5Csin25%5E%7B%5Ccirc%7D%7D%3D10.7225346025%5Capprox%20%5Cboxed%7B10.72%7D)