Hello from MrBillDoesMath!
Answer: All numbers provided are rational
Discussion:
20 = 20/1 => rational
10^2 = 100 => rational
144 = 144/1 => rational
0.48 = 48/100 => rational
Thank you,
MrB
Answer:
257.5 mph
332.5 mph
Step-by-step explanation:
The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is
miles
Calling v1 and v2 the velocities of the two planes, we have the following equations:
(1)
--> velocity of plane 1 exceeds velocity of plane 2 by 75 mph
(2)
--> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)
Substituting t=1.5 h, the second equation becomes:

By substituting (1) into this last equation, we find:

And substituting this back into eq.(1), we find

So, the speeds of the two planes are
257.5 mph
332.5 mph
Answer:
see explanation
Step-by-step explanation:
(a)
Consider the denominator
To obtain 5xy from x , multiply by 5y
Thus numerator is multiplied by 5y, that is
= 
(b)
Consider the numerator
To obtain 5ab² from ab, multiply by 5b
Thus denominator is multiplied by 5b, that is
= 
diagonal = sqrt(l^ + w^2)
17 = sqrt(10^2 + x^2)
17^2 = 10^2 + x^2
289 = 100 + x^2
189 = x^2
x = sqrt(189) = 13.747
X = 13.75
width is 13.75 inches