Kyle, d = rt, right? This means that t = d/r. If we call the rate of the current c, then her rate upstream is hindered by the current and is 3 - c. Downstream is 3 + c. The total time is 6 hours... 5/(3 - c) + 5/(3 + c) = 6 Once we put everything over the same denominator, we don't need it anymore. 5(3 + c) + 5(3 - c) = 6(3 - c)(3 + c) 15 + 5c + 15 - 5c = 54 - 6c2
30 = 54 - 6c26c2 = 24c2 = 4c = 2 2 mph
x 20
------ = -------
100 125
(The percentage x saved is equal to 20 out of 120) Cross multiply:
125x = 20(100)
125x = 2000
Divide both sides by 125
x = 16%
Answer:
d = 17.58
Step-by-step explanation:
d = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2
P1(0, 0, 0) P2(8, 7, 14)
Substitute the values in the above equation and you will get
d = √(8 - 0)^2 + (7 - 0)^2 + (14 - 0)^2
= √(64 + 49 + 196)
= √309
= 17.58
Recall that cosine is the reciprocal of secant, so is the same fraction, just upside-down.
Answer:
18
Step-by-step explanation:
If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished