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jolli1 [7]
2 years ago
7

The diameter of each wheel of a bicycle is 28 inches28 inches. if you are traveling at a speed of 40 miles per hour40 miles per

hour on this​ bicycle, through how many revolutions per minute are the wheels​ turning?
Mathematics
1 answer:
bagirrra123 [75]2 years ago
4 0
Convert 10 miles into inches:
10 miles = 10*5280 = 52800 feet 633600 inches

(pi)d = (3.14) = 87.92 inches per revolution
633600/87.92 =7206.55 revolution per hour
convert to revolution per min:
7206.55 rev/hr * 1/160 hr/min
120.1 revolution per minute
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An arc subtends a central angle measuring 7pi/4 radians
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Answer:

\frac{7}{8}

Step-by-step explanation:

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8 0
3 years ago
The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th
Katarina [22]
<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

"third side is 3 ft longer than the shortest side" so b = a+3

Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

The shortest side is 15 ft

b = a+3 = 15+3 = 18

The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

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