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AlekseyPX
3 years ago
9

The area of a trapezoid is 864 cm2. It has a height of 24 cm, and the length

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Answer:

Length of other base = 42 cm

Step-by-step explanation:

h = 24 cm

One of its base a = 30 cm

Area=864cm^{2}\\\\\frac{(a+b)*h}{2}=864\\\\\frac{(30+b)*24}{2}=864\\\\(30+b)*12=864\\\\30+b=\frac{864}{12}\\\\30+b=72

b = 72 - 30

b = 42 cm

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(SAT Prep) Find the value of x.
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120 deg

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The function f(x) has a vertical asymptote at x = [BLANK].
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3 years ago
En una fiesta hay 40 asistentes de los cuales el número de varones que no bailan es el doble que el número de las mujeres que no
Arte-miy333 [17]

Answer:

50%

Step-by-step explanation:

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V= número de varones bailando.

M= número de mujeres bailando.

V' = número de varones que no están bailando.

M' = número de mujeres que no están bailando.

Sabemos que hay 40 personas en la fiesta, por lo que podemos construir la siguiente ecuación:

V+M+V'+M'=40

Vamos a suponer que cada mujer que está bailando, está bailando varón respectivamente. (El problema no da más información, entonces podemos suponer esto.)

Entonces si hay 5 mujeres bailando, entonces también hay 5 hombres bailando, por lo que nuestra ecuación se reescribe de la siguiente manera:

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y simplificamos:

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Y podemos despejar el número de mujeres que no bailan, lo que nos da:

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y podemos entonces despejar V'

\frac{3V'}{2}=30

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Entonces hay 20 varones que no están bailando, por lo que la probabilidad de que el varón que se escoge al azar no esté bailando está dada por la siguiente fórmula:

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