<h3>
Answer: 5 cm</h3>
===================================================
Explanation:
Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).
Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:
20*cos(x)+25
20*(-1) + 25
-20 + 25
5
The height of the fan tip is 5 cm when it is the closest to the table.
Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is 
Answer:
The volume of the cone is:
- <u>112.6 cubic inches.</u>
Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
- Cone volume = (1/3) PI * r ^ 2 * h
Where:
<em>r = radius.
</em>
<em>h = height.
</em>
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
- Circumference = PI * Diameter.
When clearing you get:
- Diameter = circumference / PI
By replacing the data you get:
- Diameter = 15 inches / PI
- Diameter = 4.77 inches.
Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
- Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
- Cone volume = 112.581541 in^3
- <u>Cone volume = 112.6 in^3</u>
Answer:
38.28 cm = D. 38
Step-by-step explanation:
Area of the Rectangle: l x w
Length: 6 cm
With: 4 cm
Area = 4 x 6
Area of Rectangle: 24 cm
Area of the Triangle: lw(1/2)
Length: 4 cm
Width: 4 cm
Area: 4 x 4 = 16 x 1/2 = 8
Area of Triangle: 8 cm
Area of the Circle: pi x r^2 x 1/2
Radius: 2 cm
Pi: 3.14
Area: 3.14 x 2^2
Area: 3.14 x 4 = 12.56
Area of Circle: 12.56 x 1/2
Lastly, you add them all together:
24 + 8 + 6.28 = 38.28 cm
