Find the missing length. Round to the nearest tenth, If necessary.

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Using the formula a² + b² = c² but reversing it to c² - b² = x² where x replaces the a for comprehension reasons

so this is the formula
c² - b² = x²

insert the numbers on the triangle in the picture
21² - 8² = 377

since 377 is squared and not the side length, we need to square root it to find x
√377 = 19.4~

Answer: x = 19.4

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The common ratio of 2, 10/3, 50/9 is $\frac{10}{6}$

<u>Solution:</u>

Given, series of elements are $2, \frac{10}{3}, \frac{50}{9}$

We have to find the common ratio of the above given series.

We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.

So, now take $\frac{10}{3}$ and 2

$\text { Then, common ratio }=\frac{\frac{10}{3}}{2}$

$\begin{array}{l}{\text { Common ratio }=\frac{10}{3} \times \frac{1}{2}} \\\\ {\text { Common ratio }=\frac{10}{3 \times 2}=\frac{10}{6}}\end{array}$