Mathematics, 25.01.2021 20:00 ayoismeisjjjjuan

The speed, S, of a bicycle varies directly with the number of revolutions per minute, R, that the pedals turn and the number of teeth on the front gear, F, and inversely with the number of teeth on the back gear B. ANSWERS

Cooling down, Lars pedals 56 rpms. Which equation shows his speed?

S=(56) (52)/ (13) (14)

Cooling down, the speed of the bicycle is

⇒ 16 mph.

Answers: 2

Show answers

Answers

Answer from: sitstareplay7073

Question is incomplete :

The speed, S, of a bicycle varies directly with the number of revolutions per minute, R, that the pedals turn and the number of teeth on the front gear, F, and inversely with the number of teeth on the back gear B.

Lars is racing at 24 miles per hour. His front gear has 52 teeth and a back gear has 14 teeth. He is pedaling 84 revolutions per minute. As he sprints for the finish line, he pedals 112 revolutions per minute. What is his speed?

32 mph

Step-by-step explanation:

Speed α number of revolutions α number of teeth on front gear α 1/teeth on back gear

Speed = S ; number of revolutions = R ; Number of teeth on front gear = F ; Number of teeth in back gear = B

S = k(R * F) / B

k = proportionality constant ;

24 = k(84 * 52) / 14

24 * 14 = 4368k

k = 336/4368

k = 0.0769230

Speed at R = 112

S = k(R * F) / B

S = 0.0769230(112 * 52) / 14

S = 447.999552 / 14

S = 31.999968

S = 32 mph

Answer from: Quest

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

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The speed, S, of a bicycle varies directly with the number of revolutions per minute, R, that the pe...