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Answer:
37.5 miles per hour
Step-by-step explanation:
The traffic along a stretch road moves at an average speed that carried inversely as the number of cars
Average speed= k/number of cars.
When there are 1,500 cars the average speed is 45
The first step is to calculate the constant k
45= k/1500
k = 1,500 × 45
k= 67,500
Therefore the average speed when there are 1,800 cars can be calculated as follows
Average speed= 67,500/1,800
= 37.5 miles per hour
Hence the average speed is 37.5 moles per hour
A slide with size 20 text font and one or two images.
Answer:
x = pi n
Step-by-step explanation:
6 sec^2(x) − 6 = 0
Add 6 to each side
6 sec^2(x) − 6+6 = 0+6
6 sec^2(x)=6
Divide by 6
sec^2(x) = 1
Take the square root of each side
sqrt( sec^2(x) ) = ±sqrt(1)
sec(x) =± 1
sec (x) = 1 sec(x) = -1
Take the inverse sec of each side
sec^-1(sec (x)) = sec^-1(1) sec^-1(sec (x)) = sec^-1(-1)
x = 2 pi n x = pi + 2 pi n where n is an integer
Combining
x = pi n