To determine the radius of the cone, we make use of the lateral surface area of the cone. The lateral surface of an object is the area of all the sides of a certain object. For a cone, it is the product of pi, the radius and the slant height (lateral height). We calculate as follows:
Lateral Surface Area = πrh
47.1 = πr(6)
r = 2.5 cm
Answer:
-$15
Step-by-step explanation:
To find the average yearly change, divide -120 by 8, since it has decreased by $120 over 8 years.
-120/8
= -15
So, the average yearly change in the value of the card is -$15
Answer:
Bar graphs
Step-by-step explanation:
To best display something over time you should use something like a bar graph. I hope that helps! :)
Answer:

Step-by-step explanation:
The first thing that would need to be done is solving for y. This problem has already done this. The next step is to exchange y for 
That is all. This would mean that the function notation for the equation would be: 
Answer:
(1, 6 )
Step-by-step explanation:
5x + 2y = 17 → (1)
4x + y = 10 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 8x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
- 3x + 0 = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for x
Substituting into (1)
5(1) + 2y = 17
5 + 2y = 17 ( subtract 5 from both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (1, 6 )