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3 years ago

5

Mathematics

1 answer:

KonstantinChe [14]3 years ago

7 0

Answer:

semoga jawapan ini dapat membantu

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Two gears are adjusted so that the smaller gear drives the larger one. if the smaller gear of 3.7cm rotates through an angle of

zepelin [54]

Answer:

The larger gear will rotate through 156°

Step-by-step explanation:

Arc Length

The arc length S of an angle θ on a circle of radius r is:

$S = \theta r$

Where θ is expressed in radians.

The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.

Convert the angle to radians:

$\displaystyle \theta_1=300*\frac{\pi}{180}=\frac{5\pi}{3}$

The arc length of the smaller gear is:

$\displaystyle S_1=\frac{5\pi}{3}\cdot 3.7$

$\displaystyle S_1=\frac{18.5\pi}{3}$

The larger gear rotates the same arc length, so:

$\displaystyle S_2=\frac{18.5\pi}{3}$

$\displaystyle \theta_2\cdot r_2=\frac{18.5\pi}{3}$

Solving for θ2:

$\displaystyle \theta_2=\frac{18.5\pi}{3r_2}$

$\displaystyle \theta_2=\frac{18.5\pi}{3*7.1}$

$\theta_2=2.73\ radians$

$\displaystyle \theta_2=2.73*\frac{180}{\pi}=156$

The larger gear will rotate through 156°

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3 years ago

Find the area of the rectangles with the following side lengths.

KatRina [158]

Answer:

A. 5/3in

B. 20/3in

C.20/6in.

D.1in.

Step-by-step explanation:

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3 years ago

6⁴ A. 10 B. 24 C. 4⁶ D. 6•6•6•6

sveta [45]

B because 6x4=24 and trust me pls

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3 years ago

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a_sh-v [17]

Answer:

The third one. The square in the top left can only fold to the right or down.... which means there is guaranteed to be an open side remaining on the square.

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3 years ago

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Question 5 of 10

Harman [31]

Answer:

Step-by-step explanation:

6x + c = k ( isolate the term in x by subtracting c from both sides )

6x = k - c ( isolate x by dividing both sides by 6 )

x = $\frac{k-c}{6}$

5 0

1 year ago