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alexira [117]
3 years ago
13

At noon, ship a is 180 km west of ship

Mathematics
1 answer:
lawyer [7]3 years ago
5 0
If we let the coordinates of each ship be (x, y) with the positive directions of these coordinates corresponding to East and North, then the positions of the ships t hours after noon are

Ship A
  (-180+35t, 0)

Ship B
  (0, 30t)

The distance between them is the "Pythagorean sum" of the difference in their coordinates:
  d = √((-180 +35t)² +(-30t)²)
    = √(32400 -12600t +2125t²)
The rate of change of this distance is
  dd/dt = (2125t -6300)/√(32400 -12600t +2125t²)

At 4 pm, the value of this rate of change is
  (2125*4 -6300)/√(32400 -12600*4 +2125*4²)
  = 2200/√16000
  ≈ 17.39 km/h

The distance between the ships is increasing at about 17.39 km/h at 4 pm.
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You need to divide 2.25 by 1/2 or 0.5 which is 4.5.

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5 0
3 years ago
In the sequence 3 8 13 18 what term of the series is the number 2218
77julia77 [94]
By clearly looking at the sequence there are in Arithmetic Progression
So for finding which term is 2218 in that sequence
we have  x_{n} = a+ (n-1)d
Here,
a=3
 x_{n}=2218 & d=5(by looking at the sequence given)
by substituting those values we get our desired result
2218=3+(n-1)5
2218-3=(n-1)5
2215=(n-1)5
2215/5=n-1
453=n-1
n=454
so 454 term is 2218
7 0
3 years ago
What is negative 48 plus 14
leva [86]

Answer: negative 34

Step-by-step explanation:

just take away 14 to 48 and put a negative infront

7 0
3 years ago
I cant remember plz help me
anygoal [31]

Answer:

I believe the answer is B. Angle-Angle-Side

Step-by-step explanation:

3 0
3 years ago
Write a decimal that is 1 tenth of 0.9
tigry1 [53]
1/10 = 0.1

0.9 x 0.1 = 0.09

0.09 is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
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