The answer is 1494.569444
You can answer this problem in two different ways: the first being (17 - 5) * x, and the second being 12 * x.
12
because it is the only number that appears more than once which is basically the definition of mode.
Answer:
x = 8
Step-by-step explanation:
0.4x - 1.2 = 0.15x + 0.8
0.4x - 1.2 + 1.2 = 0.4x
0.15x + 0.8 + 1.2 = 0.15x + 2
0.4x = 0.15x + 2
0.4x - 0.15x = 0.25x
0.15x + 2 - 0.15x = 2
0.25x = 2
0.25x / 0.25 = x
2 / 0.25 = 8
x = 8
The law of cosines for this particular situation is b^2 = a^2 + c^2 - 2ac cosB.
Filling in what you know, you have b^2 = 25 + 49 - [2(5)(7)-.1908], which simplifies to b^2 = 74 - 69.8092 which gives you a b^2 value of 4.1908, but you have to take the square root of that so you get a side value for b of 2.05.