Note: This is a perfect application for equations of ratios.
50 40
------- = ------- and so 50x = 1200, or 5x = 120, or x = 24 (miles).
30 x
You can eliminate D right away. The sine is NEVER greater than one. That's because the denominator of the fraction is always the hypotenuse.
The definition of the sine is
Sin(x) = Opposite / hypotenuse.
Sin(x) = 10/26 = 5/13 The fraction reduces.
The answer is B
Done.
The first pipe fills 1/8 of a pool in one hr.
The second pipe fills 1/4 of a pool in one hr.
(1/8+1/4)2= 3/4 done by the first two pipes in 2 hours.
Therefore the last pipe must do 1 1/4 of the filling in 2 hours, which is 5/8 per hour.
5/8x=1
x=8/5
It takes the third pipe 1 hour and 36 minutes to fill it by itself.
Answer:
(x + 1/2)^2 = 289/4
Step-by-step explanation:
x^2+x-72=0
Write like this:
(x + ___)^2 = ___
put 72 on other side
x^2 + x = 72
x^ + x + (1/4) = 72 + (1/4)
(x + 1/2)^2 = 289/4
x + (1/2) = 17/2
Answer:
It makes sense to me but I don't know if anyone else agrees
Step-by-step explanation:
