Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Use the Power Rule Law:</u>
<u>Use the Quotient Rule Law:</u>
<u>Use the Product Rule Law:</u>
<u>Simplify:</u>
Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
48 is greater than or equal too 40in I think so < with a little line under it
Answer: 40,320
Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!
The only irrational numbers are the ones with a square root. A rational number is a whole number, a fraction (unless the denominator is 0), a mixed number, or a decimal number. If you had the square root of 4, that would be rational because it can be simplified to 2 or -2. so there for it is a rational number I hope this is what you are looking for.
