Karl: k hours
Ryan: r hours
r+k=14 hrs
r = 2k-1 hrs
Then (2k-1) + k = 14 hours; 3k -1 = 14 hours; 3k = 15 hours; k = 5 hours.
Karl worked 5 hours; Ryan worked 2(5 hours) -1 hour = 9 hours.
Cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12
tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5
2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26
sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26
sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5
Answer: a) (5 - 7)²
<u>Step-by-step explanation:</u>
g(x) = x^2 h(x) = x - 7
h(5) = 5 - 7
g(h(5)) = g(5 - 7) = (5 - 7)² <em>Replace the x in g(x) with (5 - 7)</em>
