Answer:
26.8°
Step-by-step explanation:
The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.
If cos B = 0.8926
then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.
B = cos-1 0.8926
= 26.8°
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Answer:
A.Because ,center is (3,2)and point is (-2-3) .
and answer is (x-3)2+(y+2)2=52.
Add 13 to both sides
13 = 2x + 15x
Simplify right side
13 = 17x
Divide through by 17
13/17 = x
Answer:
5/V2=2.5×V2
Step-by-step explanation:
This is an isoscelle right triangle:
x²+x²=5²
2x²=5²
x=5/V2=5×V2/2=2.5×V2
where V2=sqrt(2)