Answer:
1: 3 ratio of the volume of the cone to the volume of the cylinder
Step-by-step explanation:
Volume of cone(V) is given by:

where, r is the radius and h is the height of the cone.
Volume of cylinder(V') is given by:

where, r' is the radius and h' is the height of the cylinder.
As per the statement:
A cylinder and a cone have congruent heights and radii.
⇒r = r' and h = h'
then;

⇒
Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3
Answer:
- 30 adult tickets,
- 50 kids tickets
Step-by-step explanation:
<u>Given</u>
- Cost of adult ticket = $8.50
- Cost of kids ticket = $7.00
- Number of tickets = 80
- Total cost = $605
Let the adult ticket be a and kids be k
<u>We got equations</u>
- a + k = 80
- 8.5a + 7k = 605
<u>From the first equation we get</u>
<u>Substituting k in the second equation</u>
- 8.5a + 7(80 - a) = 605
- 8.5a - 7a + 560= 605
- 1.5a = 45
- a = 45/1.5
- a = 30
<u>Then finding k</u>
Easy.
7x + 2 = 2
7x = 2 - 2
7x = 0
x = 0 / 7
x = 0
Verify this by putting x = 0 ...
7 ( 0 ) + 2 = 2
0 + 2 = 2
2 = 2
Hence, "0" is the final answer.
Hope helps ........
Answer:
y = 4
Step-by-step explanation:
y = 4
The line will always go along y = 4 and therefore is parallel to the x axis