Answer:
The central angle is within the range π to 3π/2
Step-by-step explanation:
To convert from degrees to radians, we multiply the angle in degrees by 180/π.
To convert from radians to degree, we multiply the angle in radians by 180°/π.
π/2 = π/2 X 180°/π= 90°
π rad = π X 180°/π= 180°
3π/2 = 3π/2 X 180°/π= 270°
2π = 2π X 180°/π= 360°
Therefore the angle 250 which is between 180 and 270 is within the range :
π to 3π/2
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
Answer:
1/4h
Step-by-step explanation:
If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.
Hence, the time for the bus trip
= (1/2 + x)h
since the bus trip is 3/4h, it means that
1/2 + x = 3/4
collecting like terms,
x = 3/4 - 1/2
= 3/4 - 2/4
= 1/4
Hence the car trip is 1/4h.
We are given with
v1 = 5.5 km/hr
v2 = 4.5 km/hr
d = 10 km
v3 = 30 km/hr
The total time the fly was flying back and forth is
5.5t + 4.5t - 10
t = 1 hr
The total distance traveled by the fly is
d = 30 (1) = 30 km
