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Alex_Xolod [135]
3 years ago
7

Juan runs a total of 11,775 feet around a circular track, burning 12 calories each lap. The track’s diameter is 150 feet. How ma

ny calories does Juan burn Round your answer to the nearest whole number. Use 3.14 for π.
Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer:

300 calories

Step-by-step explanation:

he burns 12 calories each lap so you need to know how many laps he ran

which means you need to find the circumference of the track, whose formula is 2πr; remember, radius is half the diameter.

C = 2π75

C = 150π

C ≈ 471

Now divide the total number of feet he ran (11,775) by the circumference to arrive at the number of laps.

11775 ÷ 471 = 25 laps

25 x 12 = 300 calories burned in total

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satela [25.4K]

Answer:

(r o g)(2) = 4

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Step-by-step explanation:

Given

g(x) = x^2 + 5

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Solving (a): (r o q)(2)

In function:

(r o g)(x) = r(g(x))

So, first we calculate g(2)

g(x) = x^2 + 5

g(2) = 2^2 + 5

g(2) = 4 + 5

g(2) = 9

Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

r(q(2)) = r(9)

This gives:

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r(9) = 4

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

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r(x) = \sqrt{x + 7}

r(2) = \sqrt{2 + 7}

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Substitute 3 for r(2)in g(r(2))

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g(3) = 14

Hence:

(q o r)(2) = 14

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