One shape is approaching a poor from the east traveling west at 15 mph and its presently 3 miles east east of the port I second ship is already left the poor traveling to the north at 10 mph and is presently 4 miles north of the port at this instant what is the rate of change of distance between the two ships are they going to close your more for their apart

Answers

Answer 1

Answer:

DL/dt = 17 mph

Step-by-step explanation:

The ships and the port shape a right triangle

Ship  going west ( x-direction)   is traveling at 15 mph

Ship going north  (y-direction) is traveling at 10 mph

The distance L between ships is:

L²  = x² + y²

Tacking derivatives on both sides of the equation with respect to time

we get

2*L*DL/dt = 2*x*Dx/dt  + 2*y*Dy/dt    (1)

In that equation we know:

Dx/dt  = 15 mph

Dy/dt  = 10 mph

At the moment  ship traveling from the east is at 3 miles from the port

then x = 3 m  and the other ship is at 4 miles north

then by Pythagoras theorem

L = √ 3² + 4²    L = 5

By substitution in equation 1

2*5*DL/dt  = 2*3*15 + 2*4*10

10* DL/dt  =  90  +  80

DL/dt = 170 / 10

DL/dt = 17 mph


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The length, I, of your arm is usually about 3/8 of your height,
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l=8/3h

Answers

Answer:

l=8/3h equation demonstrates this

Layla arked a group of students to chooue their favorite type of exerche from the choices of jogging, biling, and wwimming. The rules of the survey are shown in the graph. Favorite Types of exercise 20 Vurbe orders li AD Jogging Biking Swimming Type of Exercise Based on the graph, how many students in a class of 420 students would be expect to choose biking or mwimming as their favorite type of cherche​

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Answer:

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Step-by-step explanation:

20 + 30 = 50

The following triangles are similar. Solve for x:

Answers

Answer:

5

Step-by-step explanation:

Common factor: 4. Divide 20 by 4 to get 5

Answer: X=5

Step-by-step explanation:

Since the triangles are similar shape-wise, then that means that the sides are going to be similar numerically.

12/4 got us 3, which is the side of that smaller triangle. Since we divided 12 by 4, then we need to divide 20 by 4 to get the unknown side. 20/4 is 5, therefore x is 5.

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Answer:

The answer is 24

Step-by-step explanation:

(5x4) the first part 5x4 is 20 so then (1x4) the second part 1x4 is 4 so when you add 20 + 4 it will be 24.

Answer:

20 + 4

Step-by-step explanation:

Evaluate in the parenthesis first.

5 x 4 = 20

1 x 4 = 4

bring them down

20 + 4

Keep the plus sign.

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Answers

Answer:

Draw a Rectangle with 3/10 at the bottom and 1/2 at the top

Step-by-step explanation:

Have a Nice Day!

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Answers

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There u go :)

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2.5 in
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Answers

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Darren has traveled
2/3
of his total trip. He has traveled 21 miles so far. How many more miles does he have to travel?

Answers

Answer:

The answer is 7 miles

Step-by-step explanation:

2/3 × 21 = 14

21-14 = 7

The answer is 10.5 miles because if 2/3 is 21 then 1/3 would be half of that which is 10.5 miles, and since there is only 1/3 left of the trip then he has to travel 10.5 more miles

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Answers

Answer:

-16

Step-by-step explanation:

(-3 + (-5))(-3 - (-5))

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Answers

Answer:

12 soccer players and 21 baseball players

Step-by-step explanation:

Multiply each ratio by the same number

4x3=12 7x3=21

The answer is the last one. 4•3 =12 and 7•3 =21, you basically just had to scale up the numbers

If Paul saves $3.00 every week for twelve weeks and then buys a CD for $15.00 plus 9% tax, how much money will he have left?

Answers

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

Answer:

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12*3=36

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Joe has a goal to practice his clarinet for 4 1/2 hours per week the list below shows the number of hours does practice this week so for Monday one and a half Wednesday 1 1/4 Thursday one how many more hours does Joel need to practice this week to meet his goal.

Answers

Answer:

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Answers

9514 1404 393

Answer:

  x = {5.4, 9.6}

Step-by-step explanation:

Adding and subtracting the square of half the x-coefficient can help you complete the square.

  (x^2 -15x +7.5^2) +52 -7.5^2 = 0

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What is the quotient of (x^3 + 3x^2 - 4x - 12) divided by (x^2 + 5x + 6)

Answers

Answer: The quotient is (x-2)

Answer:

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Step-by-step explanation:

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Answers

Answer:

Fraction  Decimal  Percent

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step

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Answers

Answer:

x = 8

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Answer:

the angles are alternate interior angle pair, they are equal

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Zoe calculates the volume as 16 cubic units because 8 units long + 5 units high + 3 units wide = 16 cubic units.  Which of the following describes the mistake Zoe made in her calculation?

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Answers

Answer:

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Answers

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Answers

Answer:

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