Answer:
x² + (y-74)² = 4900
Step-by-step explanation:
Circle equation: (x-h)² + (y-k)² = r²
"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:
- h = 0
- k = 74 (the radius + 4 ft.)
- r = 70
So plugging those into the equation of circles, we get the answer above.
Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:

They want the cones to hold the same volume of 9 cubic inches.
If height is 3:



r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:


h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
Answer:
No because you can split a tree
Step-by-step explanation:
Distribute the -2 to get
-16x + 8 < 2x + 5
3 < 18x
1/6 < x
so x > 1/6