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.
Olivia measured to the nearest millimetre because the tenths place value is 0.
1) "Subtract -7a+1 from 7+a" means -7a+1 is getting taken away from 7+a, so this can be mathematically expressed as:
Starting expression: (7+a)-(-7a+1)
Distributive property with negatives: 7+a+7a-1
Combine like terms: 6+8a
So the answer for the first one is 6+8a
2) "Subtract -4v-2 from -2-5v" means -4v-2 is getting taken away from -2-5v, so this can be mathematically expressed as:
Starting expression: (-2-5v)-(-4v-2)
Distributive property with negatives: -2-5v+4v+2
Combine like terms: -v
So the answer for the second one is -v
Hope these explanations are clear.
7/12 because 1/4 = 6/24 and 1/6 = 4/24 and if u add them you get 10/24 which leaves 14/24 which simplifies to 7/12
Answer: 288pi in cubed
Step-by-step explanation: because area of a circle is pir^2 so 36*8=288