Answer:
275 seconds, or 4 min 35 s
Step-by-step explanation:
The first set is red for 15 seconds and green for 40 seconds, so it repeats the cycle every 55 seconds.
The second set is red for 35 seconds and green for 15 seconds, so it repeats the cycle every 50 seconds.
A car will stop at the first set, wait 15 seconds, then drive for 60 seconds to the second set, which will just turn red. So we need to find how many cycles it takes for the beginning of the two sets to be 75 seconds apart.
If x is the number of cycles of the first set, and y is the number of cycles of the second set, then:
55x + 75 = 50y
y = 1.1x + 1.5
y must be an integer, so we need to find an integer value of x such that 1.1x ends in 0.5. For example, x = 5.
y = 1.1(5) + 1.5
y = 5.5 + 1.5
y = 7
If we wait for the first set to cycle 5 times, the beginning of the 6th cycle will be 75 seconds before the beginning of the second set's 8th cycle. So the pedestrian must wait 5 × 55 = 275 seconds, or 4 min 35 s.
Answer:
Step-by-step explanation:
You want to find the length of AZ.
Create a new point W at (3, -1).
Then we can make a new right triangle AWZ in which AZ is the hypotenuse.
We can apply Pythagoras' Theorem.
The answer is 12. Because when you arrange the numbers like this
11, 11, 12, 13, 13
The middle number is 12
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Half of 24 is 12, half of 10 is 5, half of 30 is 15, multiply 12x5x15 you get 900