7/8 / 11/12. First get the reciprocal of 11/12 (which is 12/11). Then multiply by the reciprocal. 7/8 * 12/11 = 84/88
don't forget to simplify
21/22
Jeff can travel 2 miles in one hour
Answer:
8:24
Step-by-step explanation:
since 1:3 is already given to you
and 8:_ needs to be found
you know that the new ratio is 8 times bigger than the original one
multiply 1 by 8 and you get 8
multiply 3 by 8 and you get 24
Let w = cos(x)
The given equation turns into -5w^2 + 4w + 1 = 0. Use the quadratic formula to find that the two solutions, in terms of w, are:
The solution w = 1 leads to cos(x) = 1 which then becomes x = 0, x = 2pi, x = 4pi, etc. The general way to write this is x = 2pi*n where n is any integer. These angles are in radian mode.
The solution w = -0.2 leads to cos(x) = -0.2 which becomes x = arccos(-0.2) = 1.77215 approximately assuming your teacher wants the angle in radian mode. Unfortunately, I don't know the exact value of x here. There may not be an exact value, or finding this exact value may be well beyond the scope of this course.
K²+11k+30
(k+5)(k+6)
k=-5,-6
