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Thepotemich [5.8K]
3 years ago
5

The circumference of a circle is 12 inches. What is the radius

Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0
Greetings!

"<span>The circumference of a circle is 12 inches. What is the radius?"...

We can use the formula to find the circumference of circle to solve this:
</span>2 \pi r
<span>
Input the information we know:
</span>2 \pi r=12
<span>
Solve for r, using the properties of equality:

Simplify.
</span>6.28r=12
<span>Divide both sides by 6.28
</span>(6.28r)/6.28=(12)/6.28<span>
Simplify.
</span>r=1.91

The radius is 1.91cm long.

Hope this helps.
-Benjamin
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a pitcher of fruit punch holds 2 gallons.If 9 people share the entire pitcher equally ,how much punch does each person get ?
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Answer:

28 4/9oz.

Step-by-step explanation:

I'd convert this to ounces. A gallon is 128oz.

2x128=256

Now, divide by 9.

256/9≈28.44oz., or 28 4/9 oz.

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15x15 225

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2 years ago
a cell phone company plans to market a new smartphone. they have already sold 612 units durning the first week of the campaign.
Vadim26 [7]

The first term is 612.

The common ratio is 1.08 and

The recursive rule is a_{n} = a^{n-1} \times r

<u>Step-by-step explanation:</u>

the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.

<u>The first term :</u>

In geometric sequence, the first term is given as a_{1}.

⇒ a_{1} = 612

Now, the geometric sequence follows as 612, 661, ........

<u>The common ratio (r) :</u>

It is the ratio between two consecutive numbers in the sequence.

Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.

⇒ r = 661 divided by 612

⇒ r = 1.08

<u>To find the recursive rule :</u>

A geometric series is of the form  a,ar,ar2,ar3,ar4,ar5........

Here, first term a_{1} = a and other terms are obtained by multiplying by r.

  • Observe that each term is r times the previous term.
  • Hence to get nth term we multiply (n−1)th term by r .

The recursive rule is of the form a_{n} = a^{n-1} \times r

This is called recursive formula for geometric sequence.

We know that r = 1.08 and a_{1} = 612.

To find the second term a_{2}, use the recursive rule a_{n} = a^{n-1} \times r

⇒ a_{2} = a^{2-1}\times r

⇒ a_{2} = a^{1}\times r

⇒ a_{2} = 612\times 1.08

⇒ a_{2} = 661

3 0
3 years ago
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