the graph shows percentages of sales made by various divisions of a company in one year. what are the angles…
the graph shows percentages of sales made by various divisions of a company in one year. what are the angles formed by the segments for each division? what are the missing percentages? explain how you were able to determine each percentage. division b 23% division c division d 18% division a 27% 13% division f division e find the angles formed by the segments for each division for which a percentage is given. division measure of angle formed by segment for division a 97.2 b 82.8 d 64.8 f 46.8 (type integers or decimals. do not include the degree symbol in your answers.) by the vertical angles theorem and the angle addition postulate, the measure of the angle formed by the segment for division c is . this corresponds to %. (type integers or decimals. do not include the degree symbol in your answers.)
Answer
Explanation:
Step1: Record known percentages
Tenemos Division A: 27%, Division B: 23%, Division D: 18%, Division F: 13%.
Step2: Calcular el porcentaje de Division C
Como el total de porcentajes en un gráfico circular es 100%, entonces el porcentaje de Division C es $100-(27 + 23+18 + 13)=19$.
Step3: Relación entre porcentaje y ángulo
Sabemos que un círculo completo tiene 360 grados. Si un porcentaje $p$ se representa en un gráfico circular, el ángulo $\theta$ correspondiente se calcula como $\theta = p\times3.6$ (ya que $\frac{360}{100}=3.6$).
Step4: Calcular ángulo de Division C
El ángulo de Division C es $19\times3.6 = 68.4$.
Answer:
El ángulo de Division C es 68.4 y su porcentaje es 19.