Answer:
59.16 units
Step-by-step explanation:
Given that,
The length of rectangle, L = 13
The breadth of the rectangle, B = 6
The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)
![P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16](https://tex.z-dn.net/?f=P%3D13%5Ctimes%206-%5B2%5Ctimes%20%5Cdfrac%7B2%5Cpi%20r%7D%7B2%7D%5D%5C%5C%5C%5C%3D78-2%5Cpi%20r%5C%5C%5C%5C%3D78-2%5Ctimes%203.14%5Ctimes%203%5C%5C%5C%5C%3D59.16)
So, the perimeter of the shaded region is 59.16 units.
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:
i dont want extra one i only want the though one
Answer:
Step-by-step explanation:
Because both of the fractions have a common denominator they can be subracted without any other work.
EXPLANATION
Since we have the function:
Vertical asymptotes:
Taking the denominator and comparing to zero:
The following points are undefined:
Therefore, the vertical asymptote is at x=-5
Horizontal asymptotes:
In conclusion:
