the central angle of sector w is 31° and the central angle of sector u is 147°. what is the probability that…
the central angle of sector w is 31° and the central angle of sector u is 147°. what is the probability that the spinner does not land on u or w? simplify your answer and write it as a proper fraction.
Answer
Explanation:
Step1: Calcula la suma de los ángulos centrales de U y W
$31^{\circ}+ 147^{\circ}=178^{\circ}$
Step2: Calcula el ángulo central restante
Sabemos que un círculo completo tiene $360^{\circ}$. Entonces, $360^{\circ}-178^{\circ} = 182^{\circ}$
Step3: Calcula la probabilidad
La probabilidad $P$ de que el spinner no caiga en U o W es el ángulo central restante dividido entre el ángulo total del círculo. $P=\frac{182}{360}=\frac{91}{180}$
Answer:
$\frac{91}{180}$