Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.
We have to find the apothem of the regular hexagon.
The formula for determining the apothem of regular hexagon is 
, where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem = 
= 
= 
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
Option B is the correct answer.
18,055
-
3,138
———-
14,927
14,927
+
18,055
———-
32,982
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
Answer: 6 wagons will be needed
Step-by-step explanation:
36/6=6
