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:
9 x 10 = 90
Step-by-step explanation:
Answer would be 7.33 Since the last digit 5 is rounded up
so each ticket costs 12 dollars multiply that bye 5 you get 60
each bucket of popcorn costs 4.50 then multiply that bye 2 you get 9
then all five girls get a soda which costs 4.75 so you would multiply 4.75 bye 5 which is 23.75
so in total you would get B.92.75
Answer:
The correct option is 1.
Step-by-step explanation:
The given parent function is

1. Domain of the function is all positive real number including 0.
2. Range of the function is all positive real number including 0.
3. It is an increasing function. It increases at decreasing rate.
First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.
Second graph is a parabola, so it is the graph of a quadratic function.
Third graph is a rectangular hyperbola, so it is the graph of a rational functions.
Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.
Therefore options 2, 3 and 4 are incorrect.