A cone-shaped building has a height of 11.4 meters and a base with a diameter of 12 meters. The building will be filled with roa
2 answers:
You might be interested in
Answer:
From top to bottom:
Step-by-step explanation:
We are given the piecewise function:
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
Just replace t with 3 and solve.
If it's a regular octahedron, then you can calculate it using the formula 
where 
is the length of the edge.
If it's not regular, you have to calculate the area of each side individually.
If it's not regular, you have to calculate the area of each side individually.
We can draw a unit circle as:
The sine is the vertical leg (or vertical projection) of the triangle formed by the angle.
The cosine will be the horizontal leg (or horizontal projection) of this same triangle.
The hypotenuse of this triangle will be the radius if the unit circle (r = 1).
a) The sine will be increasing from θ = 0° until it reaches its maximum at 90°.
Then it will be decreasing for angles between 90° and 270°.
Between 270° and 0° it will be increasing again.
b) The cosine has a maximum value for an angle of 0°.
It will decrease until 180°.
Then it will be increasing from angles between 180° and 360°.
c) We can see in the unit circle that the sine is 0 when the angle is one the horizontal axis, like when θ = 0° or θ = 180°.
The cosine will be equal to 0 when the angle is vertical: θ = 90° and θ = 270°.
Answer:
a) Increasing: (0°, 90°) and (270°, 360°)
Decreasing: (90°, 270°)
b) Increasing: (180°, 360°)
Decreasing: (0°,180°).
c) Sin(θ) = 0 for θ = 0° and θ = 180°
Cos(θ) = 0 for θ = 90° and θ = 270°
