The order of operations helps keep answers for multi-step equations similar. If the proper order of operations are not followed, then answers may vary. To show an example:
4 / 2 - 1
The proper order of operations would be:
Divide first, before subtracting
4 / 2 - 1
2 - 1
1
But if subtracting was done before dividing:
4 / 2 - 1
4 / 1
4
So not following the proper order would yield different and erroneous answers.
Answer:
11. A. 
12. D. 
Step-by-step explanation:
11: Sin is just the side opposite of the angle divided by the hypotenuse of the triangle
Opposite of A = 36
Hypotenuse of the triangle = 39
36/39 = 
12. Tan is the side opposite of the angle divided by the side adjacent to the angle
Opposite of C = 35
Adjacent to C = 12
35/12 = 
Hope this helps!
1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer.
2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people.
In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression

We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:
Therefore, the approximate distance to the horizon for the person will be 64.81 km