Answer:
See below
Step-by-step explanation:
<u>Part A</u>
A vertical stretch takes place when
given that 
<u>Part B</u>
A vertical compression takes place when
given that 
<u>Part C</u>
A vertical stretch is different than a horizontal compression:
- In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
- In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor
<u>Part D</u>
A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of
must be negative such that
as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.
The horizontal distance to the control tower is approximately 18506.83m
Data;
- distance from the ground = 3900m
- angle of elevation = 11.4 degrees
- horizontal distance = ?
<h3>Trigonometric Ratio</h3>
To solve this problem, we need to use trigonometric ratio SOHCAHTOA.
In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

The horizontal distance to the control tower is approximately 18506.83m
Learn more on trigonometric ratio here;
brainly.com/question/4326804
Answer:
D, the observed frequency of landing heads up gets closer to the expected frequency based on the probability of the coin landing heads up.
Step-by-step explanation:
As of now, the observed frequency states that the coin will land on heads 4/12 times. The expected frequency states that the coin will land on heads 50% of the time, or 6/12 times. As the number of trials increases, the observed frequency will get closer to the expected frequency.