Answer:
The value of y = 70°
Step-by-step explanation:
∵ The measure of the major arc = 160 + 60 = 220°
∵ The measure of the circle is 360°
∴ The measure of the minor arc = 360 - 220 = 140°
∵ y is the angle between a chord and a tangent
∵ The chord subtended by the arc of measure 140°
∵ y is subtended by the arc of measure 140°
∵ Angle of tangent subtended by an arc,
its measure = half the measure of the subtended arc
∴ The measure of y = 1/2 the measure of the subtended arc
∴ y = 1/2 × 140 = 70°
First part of the race
speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t
Second part of the race
speed2, s2 = 6 km/h
distance2 = x
time2 = t
s2 = x/t = 6 ⇒ t = x / 6
s1 = [5 - x] / [0.65 - t] = 8.75
5 - x = 8.75 [0.65 - t]
5 -x = 8.75(0.65) - 8.75t
5 - x = 5.6875 - 8.75 (x/6)
5 - x = 5.6875 - 1.4583x
1.4583 x - x = 5.6875 - 5
0.4583 x = 0.6875
x = 0.6875 / 0.4583 = 1.5
Answer: 5
Step-by-step explanation:
Range means the difference between the largest and smallest values. Which would be 3 and 8.
