Answer: 5in
Step-by-step explanation:
1/3x8/8=8/24
1/8x3/3=3/24
8-3=5
(2*3*1)=6
135/6=22.5
1st = 22.5 ft
2nd= 45 ft
3rd = 67.5 ft
add it up and you get 135 feet
Let the origin of the coordinate system be the position of ship B at noon. Then the distance between the ships as a function of t (in hours) is
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.
Answer:
$150 = 4 hours,
So, in a ratio, 4 : 150
=> 150 * 4.5 : 4 * 4.5
=> 675 : 18 hours
Therefore to earn $675 at the rate of $150 for 4 hours, Fatima will need to work for 18 hours to earn $675
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