11. Solve for the value of x in the triangle shown below. Show your work! (1 point for equation, 1 point for answer)
1 answer:
You might be interested in
Answer:
- The graph is attached below.
Step-by-step explanation:
Given : A sine function has the following key features:
Period = π , Amplitude = 2, Midline: y = -2 , y-intercept: (0,-2)
The function is a reflection of its parent function over the x-axis.
To plot the graph :
Solution :
General form of sin function is
Where A is the amplitude
C is the midline
Substitute the given key features
A=2 , C=-2
The sin function is
The function is a reflection of its parent function over the x-axis.
i.e, The coordinate became (x,y)→(x,-y)
The sin function is
Now, We plot the graph of the sin function.
The graph is attached below.
First point is midline i.e, (0,-2)
Minimum point is
Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is
Where, is the central angle in degrees.
Putting r=10 and , we get
Therefore, the area of the sector is 12.5π sq. inches.