The circumference of a circle is C=2πR, where R is the radius of the circle and π≈3.14.
So if we open the circumference of the circle into a straight line segment, the length of this segment is C=2πR≈2*3.14*R=6.28R
4 rotations mean 4 circumferences that is 4 segments of length 6.28R,
which makes a linear distance of 4*6.28R=25.12R
i: the radius of the smaller wheel is R=r, thus it covers a distance of 25.12r feet
ii: the radius of the smaller wheel is R=2r, thus it covers a distance of 25.12*2r=50.24r (feet)
50.24r is twice 25.12r, thus the larger wheel traveled Twice the distance of the smaller one.
Answer: the larger covered twice the distance of the smaller.
Answer:
The probability that exactly one switch is good is

Step-by-step explanation:
The probability that a switch is defective is:

The probability that a switch is not defective is

Therefore, if two switches are selected, the probability that exactly 1 is good is:



Answer: Lshonda will earn $23.
Step-by-step:
The equation would be (4•4.7) + (1•4.2)
4 multiplied by 4.7 is 18.8
1•4.2 is 4.2
18.8+4.2=23
hope this helps! :)
Answer:
a) 7 weeks b) George's
Step-by-step explanation:
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
Answer:
Susie is correct the function is x times itself = y.