Two functions are graphed on the coordinate plane. On a coordinate plane, a curved line with an upward arc, labeled g of x, cros
ses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A straight horizontal line, labeled f of x, crosses the y-axis at (0, 4). Which represents where f(x) = g(x)? f(4) = g(4) and f(0) = g(0) f(–4) = g(–4) and f(0) = g(0) f(–4) = g(–2) and f(4) = g(4) f(0) = g(–4) and f(4) = g(–2)
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<h3>Answer: angle B = 47 degrees</h3>
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Work Shown:
Use law of cosines to find angle B
b^2 = a^2 + c^2 - 2*a*c*cos(B)
9^2 = 6^2 + 12^2 - 2*6*12*cos(B)
81 = 36 + 144 - 144*cos(B)
81 = 180 - 144*cos(B)
81 - 180 = -144*cos(B)
-99 = -144*cos(B)
-144*cos(B) = -99
cos(B) = (-99)/(-144)
cos(B) = 0.6875
B = arccos(0.6875)
B = 46.5674634422102
B = 47 when rounding to the nearest whole number
Make sure your calculator is in degree mode.
arccos is the same as inverse cosine often labeled on calculators.