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3 years ago

Which is the closest to the circumference of a circle with a diameter of 17 inches?

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

Circumference = 2 $\pi$ r
diameter = 2 r

17 = 2r → 8.5 = r

C = 2 $\pi$ (8.5)
C = 17 $\pi$
C ≈ 53.4

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Answer: The best estimate for the amount of money she saves to buy clothes = $ 562.5

Step-by-step explanation:

Given: Breanna saves 75% of her earnings to buy new school clothes.

Earnings for Breanna = $ 750

The amount of money she saves to buy clothes = 75% of 750

= 0.75 x 750 [75%= 0.75]

= $ 562.5

Hence, the best estimate for the amount of money she saves to buy clothes = $ 562.5

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kati45 [8]

Answer:

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$1 = a_1 r^5$ (2)

If we divide equations (2) and (1) we got:

$\frac{r^5}{r^4}= \frac{1}{15}$

And then $r= \frac{1}{15}$

And then we can find the value $a_1$ and we got from equation (1)

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And then the general term for the sequence would be given by:

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And the best option would be:

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Step-by-step explanation:

the general formula for a geometric sequence is given by:

$a_n = a_1 r^{n-1}$

For this case we know that $a_5 = 15, a_6 = 1$

Then we have the following conditions:

$15 = a_1 r^4$ (1)

$1 = a_1 r^5$ (2)

If we divide equations (2) and (1) we got:

$\frac{r^5}{r^4}= \frac{1}{15}$

And then $r= \frac{1}{15}$

And then we can find the value $a_1$ and we got from equation (1)

$a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375$

And then the general term for the sequence would be given by:

$a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...$

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

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Thanks! :)<br> ..........

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3 years ago

Read 2 more answers