Step-By-Step Explanation:
1. 20.95 x 1 = 20.95
2. 119.5 x 2 = 239
3. 8.75 x 5 = 77.5
4. 24.25 x 7 = 169.75
5. 52.3 x 3 = 156.9
6. 0.4
7. 0.4
8. 0.4
9. 0.7
10. 0.5
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Any one shirt out of 4 can combine with any of the 4 socks
Number of combinations = 4 * 4 = 16
Answer:
<u>Part 1:</u> Angle = 154.3°
<u>Part 2:</u> About 2.33 Rotations
Step-by-step explanation:
Part 1:
The arc length of a circle is given by the formula 
Where
- s is the arc length
- r is the radius of the circle
is the angle
**The angle are in radians and we will use radian**
When smaller gear has made 1 complete rotations (
radians), the arc length traveled is 
Now, what angle is swept by the larger circle when it travels
? Put in
and r is 7 to find
:

** Since
radians is 180°, we plug in 180 into
and find the degree measure:

Angle = 154.3°
Part 2:
In one complete rotation of the larger gear, it travels a distance of:

We know that the smaller circle makes 1 rotation and travels
, so in
distance, it makes:
Rotations = 
About 2.33 Rotations
False, you want to subtract in order to get rid of the 2x in both equations