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GenaCL600 [577]
2 years ago
9

What is the 8th term of the sequence 1, 3, 9, 27, 81,... .

Mathematics
1 answer:
slega [8]2 years ago
4 0

9514 1404 393

Answer:

  2187

Step-by-step explanation:

This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...

  an = a1·r^(n-1)

  an = 3^(n-1)

Then the 8th term is ...

  a8 = 3^(8-1) = 2187

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A pizza has a diameter of 12 inches. Each piece has a central angle of radians. What is
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Answer:

The area of one slice of pizza is 18 in²

Step-by-step explanation:

First we have to know that the 360 ​​° representing the circle expressed in radians are expressed as 2π

Now we must calculate the area of ​​the circle

a = π * r²

a = π * (12in)²

a = 144π in²

Now that we have the area of ​​the circumference we multiply it by (π/4) / (2π)

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3 years ago
Can someone please help me with this?
lidiya [134]
The angle formed by two tangles results in half of the difference of the two arcs. 

That is to say 

70 = .5(Major arc - minor arc)

Think of the major arc as the larger and the minor the smaller.

So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.

140 = major arc - minor arc.

Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.

140 = major arc - x 
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Use linear combination and add these equations to get

500 = 2*major arc

major arc = 250
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The answer is 110 degrees.

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Step-by-step explanation:

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