Answer:
<h2>Z = 19/56</h2>
<h2>OR Z = 0.34</h2>
Step-by-step explanation:
The steps in the photo above
I hope that is useful for you :)
Answer:
BC = 26
Step-by-step explanation:
since B is the midpoint of AC, then AB = BC
AC = 8x - 20 & AB = 3x - 1
AC = AB + BC or 2AB
8x - 20 = 2(3x - 1)
8x - 20 = 6x - 2
subtract 6x form each side
2x - 20 = -2
add 20 to each side
2x - 20 + 20 = -2 + 20
2x = 18
x = 9
BC = 3x - 1
BC = 27 - 1
BC = 26
AC = 52
Step-by-step explanation:
(cos 10° − sin 10°) / (cos 10° + sin 10°)
Rewrite 10° as 45° − 35°.
(cos(45° − 35°) − sin(45° − 35°)) / (cos(45° − 35°) + sin(45° − 35°))
Use angle difference formulas.
(cos 45° cos 35° + sin 45° sin 35° − sin 45° cos 35° + cos 45° sin 35°) / (cos 45° cos 35° + sin 45° sin 35° + sin 45° cos 35° − cos 45° sin 35°)
sin 45° = cos 45°, so dividing:
(cos 35° + sin 35° − cos 35° + sin 35°) / (cos 35° + sin 35° + cos 35° − sin 35°)
Combining like terms:
(2 sin 35°) / (2 cos 35°)
Dividing:
tan 35°