Answer:
22.5 cm^2
Step-by-step explanation:
Amount of paper is going to be measured in area, so we want the surface area of the cone. Since it is a cub it doesn't have a base, so we don't need to count it.
Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height. and of course radius is d/2 where d is the diameter. so let's plug it in. We know diameter is 6 and slant height is 7.5
SA = pi * r * s
SA = pi * d/2 * s
SA = pi * 6/2 * 7.5
SA = 22.5 cm^2
So you will need 22.5 square centimeters of paper.
The middle section is n(n+1)
The top row is n+2
The bottom row is 2n+1
So the rule for the total number of tiles will be the sum of the above rules...
s(n)=n(n+1)+n+2+2n+1
s(n)=n^2+n+n+2+2n+1
s(n)=n^2+4n+3
Answer
C. (5/2, -1/3)
Step by step explanation
Here we use the rational root theorem.
The possible roots are
+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6
We have to use the synthetic division to find the correct root of this function.
Here the roots are 5/2 and -1/3
Others are not roots of this function.
Let's check x = 5/2 with synthetic division.
5/2) 6 -13 13 -39 -15
- 15 5 45 15
--------------------------
6 2 18 6 0
Similarly x = -1/3 is also root of this function.
Answer: C. (5/2, -1/3)
How many people all together is there ?
