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6 months ago

Assume the radius of a circle is 5.7 inches. This measurement was performed with a

Mathematics

1 answer:

Taya2010 [7]6 months ago

4 0

The area of the circle based on the radius given is 102.1 inches ²

<h3>How to calculate the area?</h3>

It should be noted that the area of a circle is calculated thus:

= πr²

where r = radius

π = 3.142

Therefore, when the the radius of a circle is 5.7 inches. This will be calculated for the area thus:

= πr²

= 3.142 × 5.7²

= 3.142 × 32.49

= 102.1 inches ²

Learn more about area on:

brainly.com/question/25292087

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Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify your answer.

Alexandra [31]

$\boxed{a_{n}=-3+8(n-1)}$

<h2>Explanation:</h2>

The explicit formula for the general nth term of the arithmetic sequence is given by:

$a_{n}=a_{1}+d(n-1) \\ \\ \\ Where: \\ \\ a_{n}:nth \ term \\ \\ n:Number \ of \ terms \\ \\ a_{1}:First \ term \\ \\ d:common \ difference$

Here we know that:

$a_{1}=-3 \\ \\ a_{10}=69$

So, our goal is to find the common difference substituting into the formula:

$a_{10}=a_{1}+d(10-1) \\ \\ 69=-3+d(9) \\ \\ Solving \ for \ d: \\ \\ 9d=69+3 \\ \\ 9d=72 \\ \\ d=8$

Finally, we can write the explicit formula as:

$\boxed{a_{n}=-3+8(n-1)}$

<h2>Learn more:</h2>

Geometric series: brainly.com/question/1509142

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3 years ago

There are 100 gumdrops. 78 of them are large, and the rest are small. 33 of them are red, and the rest are other colors. 16 of t

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Large red ones= 16/78
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22 gumdrops are small
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Probability of large and small red ones:
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prob. of small red ones: 17/22+78/78= 95/100=95%

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