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kramer
3 years ago
9

The circumference of a circle is 31.4 inches. What is the circle's diameter? C=31.4 in Use 3.14 for ​.

Mathematics
2 answers:
frutty [35]3 years ago
8 0
We will use the circumference formula to find the radius and then multiply it by 2 to find the diameter.

C = 2πr
31.4 = (2)(3.14)(r)
31.4 = 6.28r
5 = r

So our radius is 5 in.

We can multiply it by 2 to get the diameter.

5*2 = 10

So the diameter is 10 inches

liubo4ka [24]3 years ago
6 0
49.3
this can be calc for a form
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can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as
tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: a*r^{n-1}. The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = a*r^{n-1}, we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: k * 0.75^{n-1}. This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is \frac{a(1 - r^{n})}{1-r}, provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft

6 0
2 years ago
If two zeroes of the polynomial x4-6x3-26x2+138x-35 are x+3 and x-3. Find the other zeroes
ASHA 777 [7]

Answ

Step-by-step explanation:

5 0
3 years ago
Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p
sammy [17]

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>
  • It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format \frac{p}{q}.

In this problem:

  • The leading coefficient is 1, hence it's only factor is q = 1, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.

To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559

8 0
2 years ago
Which table shows a proportional relationship?
lord [1]
To figure this out, always divide y by x in each table. All of the values have to be equal or the table isn’t proportional.

In this case, the last choice is proportional.
7 0
3 years ago
Which table represents the same linear relationship as y = x + 3?
Ilia_Sergeevich [38]

Answer:

The seconf option

x = 0, 2, 4

y = 3,5,7

Step-by-step explanation:

plug in your x and y points into the equation and they should be the same of both sides

ex (0,3)

3 = 0 + 3

^y    ^x

5 0
2 years ago
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