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stich3 [128]
2 years ago
12

A clock has a diameter of 16 inches. how far does the hour hand travel during 5 hours? use 3.14 for pi.

Mathematics
1 answer:
valentina_108 [34]2 years ago
8 0

Distance hour hand travel in 5 hours is 20.94 inches.

<h3>What is a diameter?</h3>
  • A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
  • It is also known as the circle's longest chord.
  • Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

  • Let's say the hour hand completed one full round around the clock.
  • If this was the case, it would have been 2\pi×8 inches around.
  • We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2\pi×8×( 5/12 ).
  • Distance hour hand travel is 20.94 inches.

Therefore, the distance hour hand travel in 5 hours is 20.94 inches.

Know more diameter here:

brainly.com/question/390660

#SPJ4

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In a parallelogram what can you say about the consecutive angle
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Step-by-step explanation:

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Pls solve the simultaneous equation in the attachment.
siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

\frac{x}{2}-\frac{y}{5}=1 ----> equation A

y-\frac{x}{3}=8 ----> equation B

Multiply equation A by 10 both sides to remove the fractions

5x-2y=10 ----> equation C

isolate the variable y in equation B

y=\frac{x}{3}+8 ----> equation D

we have the system of equations

5x-2y=10 ----> equation C

y=\frac{x}{3}+8 ----> equation D

Solve the system by substitution

substitute equation D in equation C

5x-2(\frac{x}{3}+8)=10

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15x-2x-48=30

15x-2x=48+30

Combine like terms

13x=78

x=6

<em>Find the value of y</em>

y=\frac{x}{3}+8

y=\frac{6}{3}+8

y=10

The solution is the ordered pair (6,10)

Part b) we have

xy=21 ---> equation A

x+5y=22 ----> equation B

isolate the variable x in the equation B

x=22-5y ----> equation C

substitute equation C in equation A

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22y-5y^2=21

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Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

x=22-5(1.4)=15

For y=3

x=22-5(3)=7

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

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