Ariana is opening a new restaurant. She has six entrees. How many different orders can she list them on her menu?
1 answer:
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Answer:
The angle is in the second quadrant.
Step-by-step explanation:
The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as ,
.
Therefore, is equivalent to
.
Consider a unit circle centered at the origin. If the terminal side of angle intersects the unit circle at point
, then
, and
.
For angle ,
, meaning that the intersection is to the left of the
-axis.
, meaning that the intersection is above the
-axis.
In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.
Answer:
Hey!
To start this problem, we'll most likely need a calculator. Handling can get a little messy, and tricky.
(also note that "pie" is a food, the mathematical term , is pronounced "pie", but spelled "pi.")
Anyway, multiplying 3.14159265359..... ()
160 = 502.654824574...... going on and on.
In general, these types of problems are better for a calculator if you want an exact answer. Otherwise, just resort to estimation. is pretty close to 3.14.
160 3.14 = 502.4, which is decently close to our other answer.
Hope this helps!
- sahkfam