The solution is the point where the two graphed lines cross each other.
The solution is (0,5)
Answer:
62.5
Step-by-step explanation:
Let unknown number be represented as X
80/100 ×X=50
80X/100=50 cross multiply
80X=5000 divide both side by 80
X=62.5
The number is 62.5
Answer: 12) 34° 13) 90°
<u>Step-by-step explanation:</u>
![\text{Law of Sines:}\quad \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}](https://tex.z-dn.net/?f=%5Ctext%7BLaw%20of%20Sines%3A%7D%5Cquad%20%5Cdfrac%7B%5Csin%20A%7D%7Ba%7D%3D%5Cdfrac%7B%5Csin%20B%7D%7Bb%7D%3D%5Cdfrac%7B%5Csin%20C%7D%7Bc%7D)
12) Given: a = 10.2, b = 6.8, A = 122°
![\dfrac{\sin 122^o}{10.2}=\dfrac{\sin B}{6.8}\\\\\\\dfrac{6.8\sin 122^o}{10.2}=\sin B\\\\\\\sin^{-1}\bigg(\dfrac{6.8\sin 122^o}{10.2}\bigg)=B\\\\\\34.4^o=B](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin%20122%5Eo%7D%7B10.2%7D%3D%5Cdfrac%7B%5Csin%20B%7D%7B6.8%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B6.8%5Csin%20122%5Eo%7D%7B10.2%7D%3D%5Csin%20B%5C%5C%5C%5C%5C%5C%5Csin%5E%7B-1%7D%5Cbigg%28%5Cdfrac%7B6.8%5Csin%20122%5Eo%7D%7B10.2%7D%5Cbigg%29%3DB%5C%5C%5C%5C%5C%5C34.4%5Eo%3DB)
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Law of Cosines: a² = b² + c² - 2bc · cos A
<em>Note: The letters can be swapped</em>
13) Given: a = 3, b = 4, c = 5, C = ???
3² = 4² + 5² - 2(4)(5) · cos C
9 = 16 + 25 - 40 cos C
9 = 41 - 40 cos C
-32 = -40 cos C
0.8 = cos C
90° = C
Ming-Li had $75 to begin with. Just add all the numbers