George will arrive 20 minutes before Max
It takes Max 3 hours(180 minutes) to run 30 km .
The rate can be calculated as follows:
rate = 30 / 180 = 1/6 km/ min
George uses 2 hours 20 minutes(140 minutes) to run 30 km.
The rate can be calculated as follows:
rate = 30 / 140 = 3/14 km / min
If both are to complete a 15-kilometre race, Therefore,
Max time will be
1 / 6 = 15 / t
t = 15 × 6
t = 90 minutes
George time will be
3/14 = 15 / t
3t = 210
t = 210 / 3
t = 70 minutes
Time difference = 90 - 70 = 20 minutes
Therefore, George will arrive 20 minutes earlier than Max
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Answer:
-9x - y
Step-by-step explanation:
Combine like terms. That is, combine all the x terms and then, separately, combine all the y terms.
2x - 10y + 9y - 11x = -9x - y (answer)
Answer:
Angle CAB
Step-by-step explanation:
Given that a triangle ABC is rotated 100 degrees counterclockwise about a point P. New triangle formed is Triangle A'B'C'.
A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. The fixed point in which the rotation takes place is called the center of rotation.
Here fixed point is P and angle is 100 degrees
The property of rotation is rotation is a transformation of transforming a geometric figure to a similar figure.
In other words, by rotation here ABC will be similar to A'B'C'
Hence angles of ABC will remain equal to angles of A'B'C' in that order.
So m/_ C'A'B'=m /_CAB
Answer:
The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .
Step-by-step explanation: