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nirvana33 [79]
4 years ago
5

What is the arc length if the radius is 12 cm?*

Mathematics
1 answer:
ladessa [460]4 years ago
4 0

Answer:

 4π cm

Step-by-step explanation:

The length of an arc of a circle with radius r and central angle θ is given by ...

  s = rθ

where θ is in radians.

Here, your arc measures 60° = π/3 radians, so the arc length is ...

  s = (12 cm)(π/3) = 4π cm

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Which shape is used to draw a plane on paper in geometry? Triangles Quadrilaterals Lines Circles Points
Katyanochek1 [597]

Answer:

Answer is 'Lines'

Step-by-step explanation:

We use the lines to draw plane on paper.

For example, to draw three dimensional cube , we use lines.

7 0
3 years ago
Fred and Frank play a game. Fred picks an even number X and asks Frank to add all even numbers between 0 and X (inclusive) as fa
TiliK225 [7]

Answer:

The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2

The rule of arithmetic sequence = a + d(n - 1)

Where a is the first term and n is the number of terms

So, for the even numbers between 0 and X

The first term = a = 0

d = 2

So, we need to find n at the last term which is X

∴ X = 0 + 2 ( n -1 )

∴ n - 1 = X/2

∴ n = X/2 + 1

The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)

Substitute with a and d and X

So, the sum = (n/2) * (2*0 + (n−1)*2)

                   = (n/2) * ((n−1)*2)

                   = n(n-1)

                   = (X/2 + 1) * (X/2)

                   = X/2 by (X/2 + 1)

So, The quick way to add all even numbers between 0 and X always works.

8 0
4 years ago
David made a class banner out of a large rectangular piece of paper. He cut a triangular piece out of one side. what is the area
VikaD [51]
The height would be the same as the rectangular piece of paper as well as the length so what you would do is you do heights times Lanks divide that by two and you would get the Square inches of the banner hope it helps
8 0
3 years ago
The container that holds the water for the football team is 7/10 full. after pouring out 3 gallons of water, it is 1/2 full. how
Andreyy89
Hello!

So you figure that 7/10-5/10=2/10 that leave you with 1/5 left over. So if you take that into effect, all you have to do it multiply those 3 gallons by 5. Which gives you 15. So, your answer would be 15 gallons. 

I hope this helped!

I am, yours most sincerely
SuperHelperThingy
7 0
4 years ago
Write the equation of the line that passes through the given points. (2,2.5) and (0,-2.5)
e-lub [12.9K]

Answer:

y = 2.5x - 2.5

Step-by-step explanation:

slope is y2-y1 / x2-x1

so

2.5- (-2.5)/ 2 - 0

5/2

2.5 for your slope

8 0
2 years ago
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