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mixas84 [53]
4 years ago
7

Solve the two-step equation.-0.45x + 0.33 = -0.66What is the solution?x = -2.2x = -1.4x = 1.4x = 2.2f

Mathematics
1 answer:
Softa [21]4 years ago
8 0

Answer:

x = 2.2

Step-by-step explanation:

-0.45x + 0.33 = -0.66

Subtract .33 from each side

-0.45x + 0.33-.33 = -0.66-.33

-.45x = -.99

Divide each side by -.45

-.45x./-.45 = -.99/-.45

x = 11/5

x = 2.2

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Please help!!<br><br>Find BD​
Temka [501]

Answer:  8\sqrt{2}

==========================================================

Work Shown:

Focus entirely on triangle ABD (or on triangle BCD; both are identical)

The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.

Apply the pythagorean theorem.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{8^2 + 8^2}\\\\x = \sqrt{2*8^2}\\\\x = \sqrt{8^2*2}\\\\x = \sqrt{8^2}*\sqrt{2}\\\\x = 8\sqrt{2}\\\\

So that's why the diagonal BD is exactly 8\sqrt{2}\\\\ units long

Side note: 8\sqrt{2} \approx 11.3137

6 0
3 years ago
.Un recipiente cilíndrico de 5cm de radio y 10cm de altura se llena de agua. Si la masa del recipiente lleno es de 2kg, ¿cuál es
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Answer:

La masa del recipiente vacío es 1,2146 kg.

Step-by-step explanation:

La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:

densidad= \frac{masa}{volumen}

Entonces la masa puede ser expresada como:

masa= densidad*volumen

En este caso:

  • densidad del agua= 1000 \frac{kg}{m^{3} }
  • volumen del recipiente cilíndrico= π*radio²*altura= π*(5 cm)²* 10 cm= π*(0,05 m)²*0,1 m= 7,854*10⁻⁴ m³

Reemplazando:

masa= 1000 \frac{kg}{m^{3} } * 7,854*10⁻⁴ m³

masa=0.7854 kg

Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:

2 kg - 0,7854 kg= 1,2146 kg

Entonces,<u><em> la masa del recipiente vacío es 1,2146 kg.</em></u>

<u><em> </em></u>

<u><em></em></u>

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