Answer:
-2z+8
Step-by-step explanation:
![3z+2+(-5x)+6\\\\=3z+2-5x+6\\\\=(3z-5z)+(2+6)\\\\=(-2z)+(8)\\\\=-2z+8](https://tex.z-dn.net/?f=3z%2B2%2B%28-5x%29%2B6%5C%5C%5C%5C%3D3z%2B2-5x%2B6%5C%5C%5C%5C%3D%283z-5z%29%2B%282%2B6%29%5C%5C%5C%5C%3D%28-2z%29%2B%288%29%5C%5C%5C%5C%3D-2z%2B8)
This angle is "29 degrees 6 minutes 6 seconds".
-- There are 60 minutes in 1 degree.
So 1 minute = 1/60 degree.
-- There are 60 seconds in 1 minute.
So 1 second = 1/60 minute = 1/3600 degree.
29 6' 6" = (29)° + (6/60)° + (6/3600)°
= (29)° + (0.1)° + (0.001666...)°
= 29.101666...°
Rounded to the nearest thousandth of a degree: 29.102°
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Hello!
To solve this we use the equation sin60 = (s/2) / (d/2)
s is a side of the triangle
d is the diameter
sin60 = s/d
![\sqrt{3/4} =s/d](https://tex.z-dn.net/?f=%20%5Csqrt%7B3%2F4%7D%20%3Ds%2Fd)
![d=s/ \sqrt{3/4}](https://tex.z-dn.net/?f=d%3Ds%2F%20%5Csqrt%7B3%2F4%7D%20)
![d = s \sqrt{4/3}](https://tex.z-dn.net/?f=d%20%3D%20s%20%5Csqrt%7B4%2F3%7D%20)
![d = 2s/ \sqrt{3}](https://tex.z-dn.net/?f=d%20%3D%202s%2F%20%5Csqrt%7B3%7D%20)
put 6 in for s
![d=12/ \sqrt{3}](https://tex.z-dn.net/?f=d%3D12%2F%20%5Csqrt%7B3%7D%20)
![d = \sqrt{48}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B48%7D%20)
d = 6.9
The answer is C) 6.9
Hope this helps!