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 expression would be 2.98 * 10 to the -7 power? Please tell me if I'm wrong.
Answer:
47.5 miles
Step-by-step explanation:
So, every morning, you travel 4.75 miles to get to school... and another 4.75 miles in the afternoon to return.
So, each day, you travel a total of 9.5 miles (4.75 + 4.75) to go school and back.
On a typical school week, you'll go to school 5 times... so you'll need to travel a total of 47.5 miles (5 * 9.5).
0-300-150=-450 feet
-450 feet is the whale’s elevation