Answer: 12 inches
Step-by-step explanation:
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
The ordered pair for the other end is (35, 3).
Here, first endpoint = (-15, -3)
Midpoint = (10, 0)
From the midpoint formula, we know that:
M = (x1 + x2)/2 , (y1 + y2)/2
So, here M = (10, 0)
x2 = -15
y2 = -3
We will separate the equation (1), in two parts to get the value of x1 and y1.
(x1 + x2)/2 = 10 and (y1 + y2)/2 = 0
For x1,
(x1 + (-15))/2 = 10
x1 = 35
For y1,
(y1 + (-3))/2 = 0
y1 = 3
So, x1 = 35 and y1 = 3.
Therefore, the ordered pair that represents the other end of the segment is (35, 3).
Learn more about midpoint formula here -
brainly.com/question/11085164
#SPJ9
Answer:
4) The square root of 25 is rational
5) pi is irrational
Step-by-step explanation:
To know if the answer is rational or irrational, check to see if they can be turned into a fraction.
Answer:
2.59
Step-by-step explanation:
Given that average inventory at cost = 18127/-
Cost of goods sold =46971
Hence stock turnover ratio at cost = cost of goods sold/average inventory
= 46971/18127 =2.59
(There is another method also to calculate stock inventory ratio
Stock inventory ratio = Retail sales/Average inventory at retail
=63410/24870
=2.5496
=2.55)
Since our question asks stock turnover at cost we get answer as
2.59