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4 years ago

How long is the storage unit This is Pythagorean theorem

Mathematics

1 answer:

erma4kov [3.2K]4 years ago

7 0

Answer:

9 meters

Step-by-step explanation:

We know the hypotenuse is 15 and one leg is 12

a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the legs

12^2 + b^2 = 15^2

144 + b^2 = 225

Subtract 144 from each side

144-144 +b^2 = 225 -144

b^2 = 81

Take the square root of each side

sqrt(b^2) = sqrt(81)

b = 9

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The 2nd, 6th, 8th terms of an A.P. form a G.P. , find the common ratio and the general term of the G.P.

melisa1 [442]

The terms of an arithmetic progression, can form consecutive terms of a geometric progression.

The common ratio is: $\mathbf{r = \frac{a + 5d}{a + d}}$
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The nth term of an AP is:

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So, the <em>2nd, 6th and 8th terms </em>of the AP are:

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$\mathbf{T_6 = a + 5d}$

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The <em>first, second and third terms </em>of the GP would be:

$\mathbf{a_1 = a + d}$

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$\mathbf{a_3 = a + 7d}$

The common ratio (r) is calculated as:

$\mathbf{r = \frac{a_2}{a_1}}$

This gives

$\mathbf{r = \frac{a + 5d}{a + d}}$

The nth term of a GP is calculated using:

$\mathbf{a_n = a_1r^{n-1}}$

So, we have:

$\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}$

Read more about arithmetic and geometric progressions at:

brainly.com/question/3927222

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