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
The absolute value is, simply, 9. If it is very picky, -9 works as well.
Answer:
0.1088 or 10.88%
Step-by-step explanation:
q = 1 - 0.35 = 0.65
P(X=2) = 12C2 × (0.35)² × (0.65)¹⁰
= 0.1088
Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
= -2x³ + x² + 9x + 12x² - 6x - 54
= -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.