1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gre4nikov [31]
2 years ago
11

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is

the distance between the ships changing at 4:00 PM?
Mathematics
1 answer:
Hitman42 [59]2 years ago
8 0

Answer:

answer = 12.87 km/h

Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = \frac{dx}{dt}

ship B is sailing north at 20 km/h =\frac{dy}{dt}

here x and y are the  sailing at t = 4 : 00 pm for ship A and B respectively

so we get x = 4 ×25 =100 km/h

                 y = 4× 20 = 80 km/h

let z is the distance between the ships, we need to find \frac{dz}{dt} at t = 4 hr

At noon, ship A is 130 km west of ship B (12:00 pm)

so equation will be

z^2 = (130-x)^2 + y^2......................(i)\\put x = 100 and y = 80 \\\\we |  | get \\

z^2 = 30^2 + 80^2\\z =\sqrt{7300} km/h

derivative first equation w . r. to t we get

2z\frac{dz}{dt} =-2(130-x)\frac{dx}{dt}+2y\frac{dy}{dt}

\frac{dz}{dt} =\frac{1}{z}[(x -130)\frac{dx}{dt} +y\frac{dy}{dt}]

\frac{dz}{dt} = \frac{( -20\times25 + 80\times20)}{\sqrt{7300} }

     = \frac{1100}{85.44}\\  = 12.87km/h

You might be interested in
Answer this question I will Mark brilliant and gets 70 PTS <br>do number one or two or do both ​
yanalaym [24]

Answers And Explanations:

Question 1.

Pulling out like terms :

1.1     Pull out like factors :

  12y - 10  =   2 • (6y - 5)  

Equation at the end of step  1  :

  Divide both sides by  2  

 

 Divide both sides by  6  

 y-(5/6)  > 0

Add  5/6  to both sides

y > 5/6.

Therefore, y = 5/6

__________________________________

Question 2.

To make fractions improper with whole numbers, you must <u>multiply the Denominator by the whole number, then add the Numerator to the Product.</u>

<u></u>

First we multiply 32 by 5.

32 x 5 = 160.

Then we add the Numerator which is 1.

160 + 1 = 161, then we put it over the Denominator, your final answer is 161/5.

Therefore, 161/5 is your final answer.

Have any questions? Feel free to comment below!

Thank you and Best of Luck to you!

<u></u>

7 0
2 years ago
A satellite is in an approximately circular orbit 36,000 kilometers from Earth’s surface. The radius of Earth is about 6400 kilo
lisov135 [29]

The answer is 266,407.507 km

5 0
3 years ago
Find the product 2x(-8)x(-9)
Elza [17]
2x(-8)x(-9)

2x8x9

16x9=144
7 0
3 years ago
Read 2 more answers
How do I solve for X?
Dmitriy789 [7]

The value of x in the special right triangle is 39.60 ft.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.

Therefore, let's find the base of the triangle with 30 degrees.

sin 30° = opposite / hypotenuse

1 / 2 = 7 / b

b = 14 ft

Let's use the value(14 ft) to find the height of the biggest triangle.

sin 30 = opposite / hypotenuse

sin 30 = 14 / h

0.5h = 14

h = 14 / 0.5

h = 28 ft

Therefore, let's find the value of x .

sin 45° = 28 / x

x = 28 / 0.70710678118

x = 39.5979797464

x = 39.60 ft

learn more on right triangle here: brainly.com/question/10412877

8 0
2 years ago
Draw a pair of adjacent supplementary angles so that one has a measure of 15 degrees
Nat2105 [25]

Answer:

the best way to to do this would be to use a protractor, if you don't have one you would have to guess on the 15 degrees, but it would be a very small angle

4 0
2 years ago
Other questions:
  • There are 5,280 feet in a mile. If Sarah ran 13,200 feet, then how many miles did she run?
    9·2 answers
  • What is the slope of the line that passes through the pair of points? (1, 7), (10, 1)
    6·2 answers
  • Kelsey buys 4 packages of juice boxes for a class party. Each pack has 1 point 5 rows with 2 juice boxes in each row. How many b
    9·1 answer
  • The circumference of c is 56 cm. what is the length of arc ab
    10·1 answer
  • Please help solve n - 425 = - 9<br> n = ______
    13·1 answer
  • Find the gcf of 10 , 100 , 250
    6·1 answer
  • The Drama Club sold 450 tickets for the spring play. An adult ticket cost $5 and a student ticket cost $3. Total ticket sales eq
    15·1 answer
  • A bottle contains 1.6L of water a second bottle constrains 390 mL of water what is the total number of mL in both bottles
    8·1 answer
  • B4.1a) The diagram shows a triangle.
    5·1 answer
  • A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probab
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!