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:
b and d
Step-by-step explanation:
parallel means go in the exact same direction and if they never ended, they would never touch
Answer:
-1.53 , 1.53
Step-by-step explanation:
It is basically asking you to find the percentiles. so for the bottom 6.3% you would type into your calculator 2nd, VARS, invNorm, area: .063, mean: 0, and Standard Deviation: 1 which gives you -1.53.
for the upper 6.3% you have to take 1-.063=.937 to get the upper percentile. now type into your calculator 2nd, VARS, invNorm, area: .937, mean: 0, and Standard Deviation: 1 which gives you 1.53.
I hope I helped :D
Answer:
A. 0.7 x 80
Step-by-step explanation:
At the beginning of the month, there is 100% remaining of the peanut butter. 100% = 80 oz. After eating 30%, that's 100%-30%=70%. 70%=0.7
Answer:
I cannot view the picture so I will tell you the formula
Step-by-step explanation:
Multiply the base by the height and divide the product by two.
