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Radda [10]
3 years ago
7

Using the formula c=2r, find the circumference with diameter of 28inches. Round your answer to the nearest inch.

Mathematics
1 answer:
Furkat [3]3 years ago
5 0

Radius is equal to 1/2 the diameter. The radius is 14 (28/2=14)

With your formula:

c=2*14

c=28

HOWEVER I believe you meant

c=2(pi)r

In which

c=2(pi)14

c=28(pi)

In this instance for pi we can use 3.14 since we will be rounding anyway, so

c=28*3.14

c=87.92

Rounded to be

c=88

Note:

If we didn’t round pi out to 3.14 we would have gotten 87.964594...

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Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
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Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
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  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
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  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
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So the age is 48.

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Answer:

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x = \sqrt{144} = 12

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