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VladimirAG [237]
4 years ago
8

Consider a circle whose size can vary. The circumference of the circle is always 2π times as large as its radius. Let r represen

t the radius of the circle (in feet) and let C represent the circumference of the circle (in feet).
a. Write a formula that expresses C in terms of r.
b. Use your formula from part (a) to determine the circumference of a circle whose radius is 6 feet feet
c. Write a formula that expresses r in terms of C.
d. Use your formula from part (c) to determine the radius of a circle whose circumference is 37

Mathematics
1 answer:
ser-zykov [4K]4 years ago
3 0

Answer:a) C = 2πr

b) 37.68feet

c) r = C/2π

d) 5.89feet

Step-by-step explanation:

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andrew-mc [135]

Answer:

a) distance covered by hare d1 = 8t

b) distance covered by tortoise d2 = 5t + 550

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Step-by-step explanation:

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Speed of hare u = 8m/s

Speed of tortoise v = 5 m/s

Initial distance of tortoise d0 = 550 m

a) using the equation of motion;

distance covered = speed × time + initial distance

d = vt + d0

For hare;

d0 = 0

Substituting the values;

d1 = 8t + 0

d1 = 8t

b)using the equation of motion;

distance covered = speed × time + initial distance

d2 = vt + d0

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d0 = 550m

Substituting the values;

d2 = 5t + 550

d2 = 5t + 550 m

c) the number of meters the tortoise is ahead of the hare.

∆d = distance covered by tortoise - distance covered by hare

∆d = d2 - d1

Substituting the values;

∆d = (5t + 550) - 8t

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