Answer:
○![\displaystyle -\frac{2\sqrt{3}}{3}\:[or\:-\frac{2}{\sqrt{3}}]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D%5C%3A%5Bor%5C%3A-%5Cfrac%7B2%7D%7B%5Csqrt%7B3%7D%7D%5D)
Step-by-step explanation:
You have to know the Unit Circle on this one. So, to start off, in the degree-angle range from 180° - 270° [Quadrant III], you must figure out the cosine value that gives you −½, and according to the graph, <em>theta</em><em> </em>will be represented as 240°. So, now that we have our <em>θ</em>, looking at the <em>y-value</em><em> </em>240°, since we want the <em>cosecant</em><em> </em>function, all we have to do is take the multiplicative inverse of
which gives you 
Extended Information

![\displaystyle -\frac{2\sqrt{3}}{3} = [-\frac{\sqrt{3}}{2}]^{-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D%20%3D%20%5B-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5D%5E%7B-1%7D)
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<u>Answer:</u>
1130400 km
<u>Step-by-step explanation:</u>
We know the formula for circumference of a circle:
<em>Circumference =
</em>
So we need the radius of Saturn ring to calculate its circumference.
We are given Saturn's diamter which is 120,000km; and know that Saturn's ring extends for about 120,000 km from the circumference of the Saturn.
Therefore, the radius of Saturn's ring will be 120000 km plus half of the diameter of Saturn:
Radius of Saturn's ring = 120000 + (120000/2) = 180000 km
Circumference of Saturn's rings = 2 x 3.14 x 180000 = 1130400 km
based on graph
domain left to right (-2π,2π)
range bottom to top [-2,2]
Answer:
y=8
Step-by-step explanation:
SR=2×SG
AND SG=GR
3y-16=2×4
3y-16=8
3y=8+16
3y=24
y=8