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
viva [34]
3 years ago
11

At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 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:
garik1379 [7]3 years ago
8 0
Check the picture below.

now, keep in mind that ship B is going at 20kph, thus from noon to 4pm, is 4 hours, so it has travelled by then 20 * 4 or 80 kilometers, thus b = 80.

whilst the ship B is moving north, the distance "a" is not really changing, and thus is a constant, that matters because the derivative of a constant is 0.

\bf c^2=a^2+b^2\implies \stackrel{chain~rule}{2c\cfrac{dc}{dt}}=0+2b\cfrac{db}{dt}\implies \cfrac{dc}{dt}=\cfrac{b\frac{db}{dt}}{c}
\\\\\\
\begin{cases}
\frac{db}{dt}=20\\
c=10\sqrt{353}\\
b=80
\end{cases}\implies \cfrac{dc}{dt}=\cfrac{80\cdot 20}{10\sqrt{353}}\implies \cfrac{dc}{dt}=\cfrac{160}{\sqrt{353}}
\\\\\\
\textit{and rationalizing the denominator}\implies \cfrac{160\sqrt{353}}{353}

You might be interested in
There are 3 consecutive integers. Four times the smallest integer is equal to six more than three times the largest integer. Wha
Aliun [14]

Answer:

5

Step-by-step explanation:

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

5 0
2 years ago
Please help me me with this please actually help me please and thank you
Vsevolod [243]

Answer:

A. (-1, 3)

Step-by-step explanation:

To solve, find which point in the options are in the double shaded region (the region that is shaded the darkest which is the region above the point where the lines cross).

A. (-1, 3) is the correct answer because it falls in the correct region.

B. (-4, 1) is not the correct answer because it does not fall ABOVE both lines like the question says.

C. (0, 1) is not the correct answer because it falls in the 2nd darkest region.

6 0
2 years ago
Please help me i'm being timed
Naddika [18.5K]

Answer:

B. A linear, partial variation

Step-by-step explanation:

We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.

4 0
3 years ago
What is the value of x in the equation below?<br> 12 – 2(x-1)=6
JulijaS [17]
X=25 in this equation. But if u divide by 12 it’s -25
5 0
3 years ago
Read 2 more answers
PLZZZZ HELP ME!!!!! I WiLL MARK U AS BRAINLIEST
uranmaximum [27]

Answer:

Step-by-step explanation:

I would say you can distribute the money by saving $25 dollars for your medium and log term and $50 for your short term. Because you will eventually raise enough from your paycheck to get your laptop. Then, once you get your laptop you put more money to your other terms.

5 0
3 years ago
Other questions:
  • Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm d
    11·1 answer
  • Ten more than 6 times a number is 4 less than 4 times the number. Please help me!!
    15·1 answer
  • I don’t know how to Order 1/2,3/5,4/10 from greatest to least
    12·2 answers
  • 2 numbers that mulitply to be negative 486 and add to be 9
    9·1 answer
  • What’s the answer I need it please
    12·1 answer
  • HELP HELP ASAP PLEASE! will give brainlie s t
    11·1 answer
  • A = p + prt solve for t
    5·1 answer
  • Hii i’ll give brainliest please help thanks :)
    9·2 answers
  • What is the slope of the line created by this equation?
    12·1 answer
  • Write an equation in slope intercept form plz help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!