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madam [21]
3 years ago
12

Eric's bicycle tires have a 29-inch diameter and Maggie's bicycle tires have a 26-inch diameter. How much farther do Eric's tire

s travel
compared to Maggie after 10 complete revolutions? Use pie = 3.14. Enter your answer correct to one decimal place.
Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

Eric’s tires would have traveled 94.2 inches more

Step-by-step explanation:

To get the answer to this question, we will need to calculate the circumference of each of the tires, then multiply each of the answers by the number of times in which they moved which is 10 in this case.

We start with Eric’s

Mathematically, the circumference of a circle C can be calculated by multiplying the diameter of the circle by pi.

C = pi * D

pi has a value of 22/7

in Eric’s case, the value of the circumference is 3.14 * 29 =91.06 inches

After 10 complete revolutions, the distance traveled by Eric’s tires would be 91.06 * 10 = 910.6 inches

Now, let’s move on to Maggie, the circumference of her own tires would be;

C = pi * D = 3.14 * 26 = 81.64 inches

The distance traveled after 10 revolutions would be 10 * 81.64 = 816.4 inches

Now we want to know how much father Eric’s tires have traveled after these 10 revolutions. That could be calculated by subtracting the value of 10 times the circumference of Maggie’s tires from that of Eric’s.

hence we have 910.6 - 816.4 = 94.2 inches

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In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.
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Answer:

a) f(s)=\frac{-11}{3}s+\frac{3245}{3} f(1)=1078 stores b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

a)

s=year | f(s) = number of stores per year

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m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}

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b) For 2012, s=9. For 2014, s=11

\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

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