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sdas [7]
3 years ago
7

A circle has a radius of 26.85 inches. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the

nearest tenth. Enter your answer as a decimal in the box.
Mathematics
2 answers:
Ymorist [56]3 years ago
7 0

The circumference formula is

C=2\pi r

where r is the radius given to us as 26.85, and pi is to be 3.14. In our formula then, we have

C=2(3.14)(26.85).

Doing that multiplication and rounding to the nearest tenth leaves us with a circumference of 168.6 inches.

kondaur [170]3 years ago
3 0

Answer:168.6

Step-by-step explanation:

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Prove that 17^16+17^14 is divisible by 5
fredd [130]

We'll use the exponent rule that a^(b+c) = a^b*a^c

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That allows us to factor like so

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Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.

Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290

Because 290 ends in a 0, this means that 5 is a factor

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This makes 5 to be a factor of the original expression.

----------------

So overall,

17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58

The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.

Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.

Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.

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