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3 years ago

Find the common ratio for the following sequence: 11, 121, 1331, 14641, ... PLZ HELP!!!!!!

Mathematics

1 answer:

frez [133]3 years ago

8 0

Hi There!

The answer is multiplying by 11. Throughout the sequence you multiply 11 by the number before to get the next number. For example, the next number in the sequence is 14641 x 11 = 161051.

Hope This Helps :)

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Brrunno [24]

Answer:

$\left(100\pi - 150\sqrt{3}\right)$ square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be $10$ inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

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$\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}$ .

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

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$\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}$ .

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kolbaska11 [484]

Answer:

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