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dem82 [27]
3 years ago
8

Find the exact circumference of a circle with the given radius. 3¼ inches C = A.6.25π in. B. 6.5π in. C. 23.25π in.

Mathematics
2 answers:
Anna71 [15]3 years ago
5 0

Answer:

The correct answer would be 6.5. because you would round 6 1/2 into 6.5. Also be sure when you are multiplying you have a mixed number.  

Step-by-step explanation:

yaroslaw [1]3 years ago
5 0

Answer: B. 6.5\pi\text{ inches}

Step-by-step explanation:

The circumference of a circle is given by :-

C=2\pi r , where r is the radius of the circle.

We are given that the radius of a circle is 3\dfrac{1}{4} inches.

First we convert 3\dfrac{1}{4} into improper fractIon, we get

3\dfrac{1}{4}=\dfrac{3(4)+1}{4}=\dfrac{13}{4}

Now, circumference of the circle will be :-

C=2\pi \times\dfrac{13}{4}\\\\ C=\dfrac{13}{2}\pi\\\\ C=6.5\pi\text{ inches}

Hence, the  exact circumference of a circle = 6.5\pi\text{ inches}

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Let w = number of weeks.

In week w,
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Taylor has: 1200 - 30w

Set the two amounts equal and solve for w, the number of weeks.

720 + 30w = 1200 - 30w

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w = 8

They will have the same amount of money in 8 weeks.

Laura will have in 8 weeks:
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Taylor will have in 8 weeks:
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They will both have $960 in 8 weeks.
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A rectangular table top measures 8/9 of a meter long by 2/3 of a meter wide. what is its area
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If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor
choli [55]
Looking at the set, we are given 18 elements. 17 is prime; it has only two factors: 1 and 17, since 1•17=17. So, the question is really asking what is the probability the numbers 1 or 17 is chosen. As mentioned earlier, 17 is prime, so there are two possible choices: 1 and 17.

P (probability) = possible outcomes / total outcomes

It is important to note that these events are “or” events, meaning that the probability can only be determined by choosing a 1 or a 17; you can’t randomly chose a 1 and 17 at the same time. So, the formula is:

P(A or B) = P(A) + P(B)

All this is saying is that given two possible outcomes, the probability occurs independent of each event; they don’t occur at the same time.

P(1 or 17) = P(1)/18 + P(1)/18

P(1 or 17) = 2/18

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2/18 simplifies to 1/9


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