<span>Traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12 mph and the total trip took 3 hours and 40 minutes.
Let S = boat speed in still water then (s + 12) = downstream speed (s -12) = upstream speed
Given Time = 3 hours 40 minutes = 220 minutes = (220/60) h = (11/3) h Time = Distance/Speed
33/(s +12) + 33/(s-12) = 11/3 3{33(s-12) + 33(s +12)} = 11(s+12) (s -12) 99(s -12 + s + 12) = 11(</span> s^{2} + 12 s -12 s -144) 99(2 s) = 11(s^{2} -144) 198 s/11 = (s^{2} -144) 18 s = (s^{2} -144) (s^{2} - 18 s - 144) = 0 s^{2} - 24 s + 6 s -144 =0 s(s- 24) + 6(s -24) =0 (s -24) (s + 6) = 0 s -24 = 0, s + 6 =0 s = 24, s = -6 Answer) s = 24 mph is the average speed of the boat relative to the water.
You can solve this analytically to get
.. 55000*(1 +x/100)^10 = 108193
.. (1 +x/100)^10 = 108193/55000
.. 1 +x/100 = (108193/55000)^(1/10)
.. x = 100*((108193/55000)^(1/10) -1) ≈ 7.00
but I find it just as fast to have a graphing calculator do it.
The city's population is increasing 7% per year.
Answer:
<u>The correct answer is C. 6, 8 and 9 inches.</u>
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.
Scale used : 1 inch = 2 feet.
2. How long should the sides of the triangle be in inches?
For calculating the length of the sides of the triangle in the draw, we use the scale this way:
1st Side = 12 feet
12 feet/2 = 6 inches
2nd Side = 16 feet
16 feet/2 = 8 inches
3rd Side = 18 feet
18 feet/2 = 9 inches
<u>The correct answer is C. 6, 8 and 9 </u>
Answer:
Step-by-step explanation:
probability= <u>no of possible outcom</u><u>e</u>
total outcome
therefore p(1)=
N. B, a dice has 6faces so 2dice has 12 faces
