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°
Answer for Problem 2:
x=61 degrees
Step-by-step explanation:
I'm not completely sure of problem 1, but I know what problem 2 is.
Tip: triangles always add up to 180 degrees.
1. 16+42= 58
2. 180-58= 122
3. 122 divided by 2= 61 degrees
ANSWER: x=61 degrees.
Answer:
78
Step-by-step explanation:
Mode = number that appears most in a set of numbers
The number that appears the most in this set is 78. So, the mode is 78. Hope it helps!
There are 45 numbers out of which 5 numbers are required to win an enormous sum of money
No of ways in which 5 numbers can be selected out of 45 numbers.
out of which there is only combination foe contest winning
When 100 different tickets are bought then
Probability of winning: 
Probably of winning≈0,000082
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P.S. Hello from Russia :^)
