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Serjik [45]
3 years ago
11

What is the length of an arc with a central angle of 23π radians and a radius of 24 cm?

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0
We can solve for the arc length using the formula shown below:
Arc Lenght = 2pi*r(central angle/360)

We need to convert the central angle such as:
Central angle = 23pi rad * (180°/pi rad) = 23*180
Radius = 24cm 

Solving for arc length:
Arc length = 2*3.14 *24*(23*180/360)
Arc length = 1733.28 cm

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If the chalkboard is just rectangular we can just use:

(2 x L) + (2 x W)

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L+L+W+W

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4 0
4 years ago
Please Help!! Brainliest Answer! Thank you!
I am Lyosha [343]

Answer:

x=4.5

Step-by-step explanation:

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4 0
3 years ago
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I need help with this geometry question
Alex17521 [72]

Answer:

x=9; JL= 23

Step-by-step explanation:

To find x:

If JL and KM are equivalent, then JL = KM. Substitute the equations and you get 2x+5 = 7x-40.

Put the similar terms on the same side by subtracting 2x from both sides and adding 40 to both sides. You will get 45=5x.

Get x alone by dividing both sides by 5 and you will get 9=x.

To find JL:

Substitute the x in 2x+5 (JL length equation) with 9. Your new equation will be 2(9) + 5.

2•9 = 18.

18+5=23

8 0
3 years ago
By the age of 21, the best violinist and pianist will have practiced at least 10,000 hours. If you practice and instrument 45 mi
Alika [10]

Answer:

273.94 hours.

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1 day = 0.75 hours of practicing in a day.

365.25 = x

1/365.25 = 0.75/x        Cross multiply

x = 0.75 * 365.25        Combine

x =  273.94 hours

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