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3 years ago

Is the triangle with the side lengths 5,12,13 right, obtuse, or acute? Why?

Mathematics

1 answer:

Art [367]3 years ago

5 0

Acute because it is not large enough to be an obtuse or not perfect to be a rught

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Round 1149 to the nearest thousand.

zysi [14]

1150, i’m pretty sure that’s it!

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2 years ago

<img src="https://tex.z-dn.net/?f=Simplify%3A%20%5Cfrac%7B%205%C3%97%2825%29%5E%7Bn%2B1%7D%20-%2025%20%C3%97%20%285%29%5E%7B2n%7

Katen [24]

$\green{\large\underline{\sf{Solution-}}}$

Given expression is 

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

Hence, 

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

4 0

2 years ago

What is negative 2/7 + 1/4 =

horrorfan [7]

Answer:

-0.03571428571

Step-by-step explanation:

7 0

1 year ago

Use inverse operations to solve each equation. Explain each step and identify the property used to reach each step.

maks197457 [2]

Hello,

The inverse operation's are easy.

is would be h/3-8=19

Hope this helps

5 0

2 years ago

Read 2 more answers

If line n bisects segment CE, find the positive value of x. A.6 B.10 C.15 D.9

givi [52]

9514 1404 393

Answer:

D. 9

Step-by-step explanation:

The segment lengths are equal, so ...

x^2 = 90-x

x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form

(x +10)(x -9) = 0 . . . . . factor

The solutions are the values of x that make the factors zero: -10, 9.

The positive value of x is 9.

8 0

2 years ago

Read 2 more answers