1.
The larger gear will have turned through an arc equivalent in length to the smaller circle's circumference. Thus:
2πr(small) = r(large)∅
2π(2) = 8∅
∅ = π/2 = 90°
2.
The distance covered by the larger gear will be:
C = 2πr
C = 2π(8)
C = 16π
Per revolution, the smaller wheel covers:
C = 2πr
C = 2π(2)
C = 4π
Number of revolutions of smaller wheel = 16π / 4π
Number of revolutions = 4
Answer:
Area of sector is 6pi cm^2
Step-by-step explanation:
Mathematically pi radians is 180 degrees
thus pi/6 radians is 180/6 = 30 degrees
The formula for the length of an arc is;
theta/360 * 2 * pi * r
where theta in this case is 30 degrees
And the arc length is pi
so we have
30/360 * 2 * pi * r = pi
30/360 * 2 * r = 1
60r = 360
r = 360/60
r = 6 cm
Now the area of a sector is;
theta/360 * pi * r^2
30/360 * pi * 36
= 6pi cm^2
Answer:
Step-by-step explanation:
Given
--- first discount
--- second discount
Required
Determine the amount paid
First, we add the total discount:
If she got a discount of 40%, then she paid 60% (i.e. 100% - 40%)
So:
Calculate the sales tax
In the beginning operations are performed with multiplication,,,so
100x100=10.000+100=
10.100result…
Answer:
The answer is the second one
Step-by-step explanation:
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