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andrew-mc [135]
3 years ago
13

the legs of a right triangle have lengths of 27 meters and 36 meters. the hypotenuse has a length of 5x meters what is the value

of x
Chemistry
1 answer:
LuckyWell [14K]3 years ago
5 0
Hi there!

We can use pythagorean theorem to solve this problem here. The easiest way to go about solving this problem is to use the theorem to find the hypotenuse, then dividing it by 5 to find the value of x, since the hypotenuse is 5x.

WORK:
27^2 + 36^2 = h^2     (plugging into theorem)
729 + 1296 = h^2     (squaring the numbers)
h^2 = 2025              (adding the numbers together)
hypotenuse = 49    (taking the square root of 2025)
49/5 = x                 (dividing 49 by 5 to find x)
x = 9.8                  (dividing)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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A sample of ammonia gas was allowed to come to equilibrium at 400 K. 2NH3(g) &lt;---&gt; N2(g) 3H2(g) At equilibrium, it was fou
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Answer:

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Explanation:

Equilibrium occurs when the rate of the forward reaction equals the rate of the reverse reaction and the concentrations of reactants and products are held constant.

Being:

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the equilibrium constant Kc is defined as:

Kc=\frac{[C]^{c}*[D]^{d}  }{[A]^{a} *[B]^{b} }

In other words, the constant Kc is equal to the multiplication of the concentrations of the products raised to their stoichiometric coefficients by the multiplication of the concentrations of the reactants also raised to their stoichiometric coefficients. Kc is constant for a given temperature, that is to say that as the reaction temperature varies, its value varies.

In this case, being:

2 NH₃(g) ⇔ N₂(g) + 3 H₂(g)

the equilibrium constant Kc is:

Kc=\frac{[N_{2} ]*[H_{2} ]^{3}  }{[NH_{3} ]^{2} }

Being:

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and replacing:

Kc=\frac{0.0551*0.0183^{3}  }{0.383^{2} }

you get:

Kc= 2.30*10⁻⁶

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