Let's call the smaller angle x
let's call the larger angle 8x
the two added together must be equal to 90 degrees
therefore x is equal to 10 degrees
Answer:
A Standard Drink
Step-by-step explanation:
1/3 = 0.33
1 is 33% of 3 bigger than any other one.
For this case we have the following exponential function:

Evaluating the function for x = -1 we have:

By power properties we can rewrite the function.
We have then:
Answer:
The value that completes the table when x = -1 is:
D. 2
Answer:
30.51 meters
Step-by-step explanation:
Given that:
The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.
According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°
Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B
To find B, since the angle between the height of the tower and the base is 90°, we use:
B + 36° + 90° = 180° (sum of angles in a triangle)
B + 126 = 180
B = 180 - 126
B = 54°
Therefore using sine rule:

The height of the tower is 30.51 meters
Step-by-step explanation:
- in order to know if the the point is on the line plug in the x coordinate to check if it gives you the y coordinate as an output.
- If you plug in the x coordinate and it gives you the given y coordinate then the point is on the given line
- Now let us plug in the value of x=-3

- now if you check plugging in the given x coordinate it does not give you the given y coordinate but -2
- therefore the point(-3,7) is not in the line but (-3,-2) is the point in the line.