Answer:
you must add 2 to the equation
Step-by-step explanation:
Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)
![b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7Ba%5E%7B2%7D%2Bc%5E%7B2%7D-2%5Ccdot%20a%20%5Ccdot%20c%20%5Ccdot%20%5Ccos%20B%7D)
![b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7B16%5E%7B2%7D%2B12%5E%7B2%7D-2%5Ccdot%20%2816%29%5Ccdot%20%2812%29%20%5Ccdot%20%5Ccos%2063%5E%7B%5Ccirc%7D%7D)
![b \approx 15.022](https://tex.z-dn.net/?f=b%20%5Capprox%2015.022)
Angle A (Law of Cosine)
![\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}](https://tex.z-dn.net/?f=%5Ccos%20A%20%3D%20-%5Cfrac%7Ba%5E%7B2%7D%20-%20b%5E%7B2%7D-c%5E%7B2%7D%7D%7B2%5Ccdot%20b%20%5Ccdot%20c%7D)
![\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}](https://tex.z-dn.net/?f=%5Ccos%20A%20%3D%20-%20%5Cfrac%7B16%5E%7B2%7D-15.022%5E%7B2%7D-12%5E%7B2%7D%7D%7B2%5Ccdot%20%2815.022%29%5Ccdot%20%2812%29%7D)
![\cos A = 0.315](https://tex.z-dn.net/?f=%5Ccos%20A%20%3D%200.315)
![A= \cos^{-1} 0.315](https://tex.z-dn.net/?f=A%3D%20%5Ccos%5E%7B-1%7D%200.315)
![A \approx 71.639^{\circ}](https://tex.z-dn.net/?f=A%20%5Capprox%2071.639%5E%7B%5Ccirc%7D)
Angle C (Sum of internal angles in triangles)
![C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}](https://tex.z-dn.net/?f=C%20%3D%20180%5E%7B%5Ccirc%7D%20-%2063%5E%7B%5Ccirc%7D%20-%2071.639%5E%7B%5Ccirc%7D)
![C = 45.361^{\circ}](https://tex.z-dn.net/?f=C%20%3D%2045.361%5E%7B%5Ccirc%7D)
Hence, the right answer is B.
Answer:
4 and 5 hope this helps
Step-by-step explanation:
Answer:
11th number is 6
Step-by-step explanation: