Answer:
17.11 meters
Step-by-step explanation:
You are using trigonometry in this problem.
The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.
The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> to the given angle.
Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.
Tan(angle) = opposite / adjacent
If we plug in what we know into that equation: <em>tan(42 degrees) = h / 19</em>
This means that <em>your answer = 19 * tan(42) = 17.11</em> meters
Part A)
Recall that:
1) The function represented by the graph of the function f(x) translated vertically n units up and horizontally m units left is:
2) The function represented by the graph of the function f(x) reflected over the x-axis is:
Now, notice that g(x) is the function f(x) reflected over the x-axis and then translated vertically 6 units up and horizontally 4 units left.
Answer Part A:
Options B, C, and D.
Part B) To graph g(x) we will reflect the graph of f(x) over the x-axis and then we will translate it vertically 6 units up and horizontally 4 units left.
We know that the graph of f(x)=|x| is:
The above graph reflected over the x-axis is:
Finally, the above graph translated vertically 6 units up and horizontally 4 units left is:
Answer part B:
Answer:
Function 1: None of the Above
Function 2: Quadratic
Function 3: Linear
Step-by-step explanation:
Function 1: It isn't linear because the y-axis doesn't go up or down at a constant rate, it isn't quadratic because it doesn't have a vertex, and it isn't exponential because it doesn't continue going up.
Function 2: It has a vertex-(6,32)
Function 3: The y-axis goes up at a constant rate of 6.
(Oya-hopes this helps.....)
16 liters of fruit juice and 24 liters of lemonade.
