To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6
Answer:
Part A
Martha is incorrect because she will pay 1/4 of the cost.
40%+0.35
0.40+0.35
0.75
0.25=25/100=1/4
Part B
Renee-$340
Susan-$297.50
Martha-$212.50
the answer is C
the dependent variable is distance, equation is y = 22x
N+n<8
is that what you are looking for?