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>
<h2>
Answer:</h2><h2>
The expected number of people who will attend this concert = 2260</h2>
Step-by-step explanation:
The concert organizers estimate people will attend if it is not raining = 19000
If its raining people will attend = 4000
On the day of the concert, meteorologists predict a 90% chance of rain.
This means 10 % chance of not raining
The expected number of people = 90% (4000) + 10% (19000)
= 360 + 1900
= 2260
The expected number of people who will attend this concert = 2260
Square root of 89 because 8^2+5^2 is 89 and it isn’t a perfect square
Answer:
The inverse is 1/2x -3/2
Step-by-step explanation:
y =2x+3
Exchange x and y
x = 2y+3
Solve for y, subtracting 3 from each side
x-3 = 2y+3-3
x-3 =2y
Divide each side by 2
(x-3)/2 = 2y/2
1/2x - 3/2 =y
The inverse is 1/2x -3/2
14 9 38 2
72 9 41 89
17 8 82 52
45 8 3 6