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°
What are the numbers? I can't really see them.
Answer:
150
Step-by-step explanation:
30 + 30 + 45 + 45 = 150
10% turned into a decimal is .1 because to turn a percent into a decimal you need to move the decimal 2 places to the left. Now that you know that you take 110*.1=11.
Enjoy!=)
Answer:
9 hours babysitting
3 hours landscaping
Step-by-step explanation:
Since Maya worked 3 times as many hours in babysitting than landscaping
so landscape hours is x and babysitting is 3x so
3(7)+11=
21+11=32
so each hours she works landscaping and for 3 hours of babysitting she earns $32
96/32=3 so
9 hours babysitting
3 hours landscaping