Answer:
750kmph
Step-by-step explanation:
Average is sum of all parts divided by the number of parts.
Let Stot be average speed for total trip (800kmph).
Let S1 be speed for first quarter of trip (950kmph).
Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.
Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).
Stot = (S1 + S2 + S3 + S4) / 4
800kmph = (950kmph + S2 + S3 + S4) / 4
3200kmph = 950kmph + S2 + S3 + S4
3200kmph - 950kmph = 2250kmph = S2 + S3 + S4
Divide both sides by 3.
2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans
Sans = 750kmph
Answer: 29, 31, 36, 38...
Step-by-step explanation: The pattern is +5 and then +2
Answer:
5:40
Step-by-step explanation:
This is a problem involving the least common difference.
If you know that the red and blue trains left at the same time at 5, you know that another red train will leave at 5:08. Another blue train at 5:10.
The way to solve this will be to write out the factors of 8 and 10 and find the smallest number that they overlap.
Red:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Blue:
10, 20, 30, 40
You see that after 40 mnutes, they are both leaving the station again. After 40 minutes, at 5:40, they are both leaving.
Answer:
113°
Step-by-step explanation:
By remote interior angle theorem:
a + 35° = a - 30° + a - 48°
a + 35° = 2a - 78°
35° + 78° = 2a - a
113° = a
a = 113°
Answer:
Area = 77.1
Step-by-step explanation:
The are of a right triangle is
our base and height are 6 for both triangles, so we shall find the area of one of the triangles...
multiply this by 2
Now find the area of the whole circle
our radius is 6, therefore:
Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer