Answer:
Angular velocity: 
(
)
Linear velocity: 
(
)
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular (
), in radians per second, and linear velocities (
), in inches per second, of a point on the outer edge of the element are, respectively:
(1)
(2)
Where:
- Rotation rate, in revolutions per minute.
- Radius of the gear, in inches.
If we know that 
and 
, then the linear and angular velocities of the gear are, respectively:
()
()
Answer:
Step-by-step explanation:
The lateral area that Rachel needs to cover is 21 inches squared. You find this by first finding the area of one triangular side. To do this, you must half the base of one side, so it makes 2, and multiply it by the height, which gets you to 7. Then, you must half this, as the formula for the area of a triangle states, and then multiply this by two as you at first found the area of only HALF the triangle. This should still get you to 7. Now, there are three lateral sides, not including the base, so you must multiply 7 by 3. This gets you 21.
Answer:
(-8,-4)
Step-by-step explanation:
(y,-x)
Answer: D
Step-by-step explanation: The general formula for the total surface area of a regular pyramid is T. S. A. =12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.
-6 ≥ 10 - 8x Subtract 10 from both sides
-16 ≥ -8x Divide by -8 to both sides
x ≥ 2 your answer is c
