<u>Answer:</u> 40
<u>Reasoning:</u> 34/.85= 40
40x.85=34
The sin ratio is the side opposite the reference angle over the hypotenuse. If Z is our reference angle, then the side opposite it has a length of 32. The hypotenuse has a length of 40. Therefore, the sin of Z = 32/40. We will reduce that to sin Z = 4/5. First choice above.
Answer:
The correct option is 4.
Step-by-step explanation:
The given function is

Where f(x) is height of the ball and x is the distance.
It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

Factorize the given function.





Put f(x)=0 to find the x intercepts.

Equate each factor equal to 0.

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.
Distance cannot be negative, therefore the reasonable domain must be positive.

Therefore the reasonable domain is
and option 4 is correct.
Answer: x+y
Step-by-step explanation: 4x-4y-3x-3y
4x-3x is x
4y-3y is y