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julsineya [31]
3 years ago
10

12 out of 30 people chose their favourite colour as blue calculate the angle you would use for blue on a pie chart

Mathematics
1 answer:
sergey [27]3 years ago
4 0
First, I'll calculate the percentage:

\frac{12}{30} *100%= \frac{12*100}{30} = \frac{120}{3} =40

so it was 40 % of people that chose blue

And now we can calculate the angle;
 

the full chart would have 360 Degrees, and the "blue" portion of the chart would have 40 % od 360 or \frac{40*360}{100} =4*36=120+24=144


so the angle would be 144 degrees!
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Answer:

El valor de <em>x</em> es igual a 20 o <em>x</em> = 20.

Step-by-step explanation:

Lo primero que se debe saber es que <em>dos ángulos complementarios suman un ángulo recto o 90º</em>.

Supongamos que el valor de un ángulo \\ \alpha y un ángulo \\ \beta valen:

\\ \alpha = 2x + 10 [1]

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Sumamos los factores comunes entre si:

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Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:

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Para despejar la incógnita <em>x</em>, debemos tener en cuenta que <em>una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella</em>. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:

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\\ x = \frac{60}{3}

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Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:

\\ \alpha = 2x + 10 [1]

Sustituimos x por el valor de 20:

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\\ \beta = x + 20 [2]

Hacemos lo mismo para [2]:

\\ \beta = 20 + 20

\\ \beta = 40

De esta manera:

\\ \alpha + \beta = 90 [3]

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