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
Archy [21]
2 years ago
6

A person walks away from a pulley pulling a rope slung over it. The rope is being held at a height 10 feet below the pulley. Sup

pose that the weight at the opposite end of the rope is rising at 4 feet per second. At what rate is the person walking when s/he is 20 feet from being directly under the pulley
Mathematics
1 answer:
7nadin3 [17]2 years ago
3 0

The image of this question is missing and so i have attached it.

Answer:

dd/dt = 4.47 ft/s

Step-by-step explanation:

From the image attached, let's denote the following;

d = horizontal distance beneath pulley

h = height of pulley

l = diagonal from the pulley to the head of the person

v = velocity of rope rising

Using pythagoras theorem;

l² = d² + h²

Differentiating with respect to time and considering h = c^(te) gives;

2l(dl/dt) = 2d(dd/dt)

We are given;

d = 20 ft

h = 10 ft

v = 4 ft/s

We know that velocity in this case is change in diagonal distance with time. Thus;

v = dl/dt = 4 ft/s

From earlier, we saw that;

2l(dl/dt) = 2d(dd/dt)

Thus, reducing it gives

(dl/dt)(l/d) = dd/dt

Now, l² = d² + h²

l = √(d² + h²)

Also, v = dl/dt = 4

Thus;

4(√(d² + h²))/d = dd/dt

4(√(20² + 10²))/20 = dd/dt

dd/dt = 4.47 ft/s

You might be interested in
A market sells strawberries for $5 per pint. Yesterday the market sold $46 worth of strawberries and today $52 worth. Which of t
aliina [53]

Answer:

yesterday 9 today 10

Step-by-step explanation:

46/5= 9.2

52/5= 10.4

5 0
3 years ago
in an 7th grade class with 80 people, seven tenths of the students wore shorts, if three sevenths of those students who wore sho
Trava [24]

Answer:

56

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
This week in school, there is a 75 percent probability of having a fire drill, a 50 percent probability of a tornado drill, and
Sphinxa [80]
For E2020 users, the correct answer is A (No,<span>because </span>P<span>(F ∩ T) ≠ </span>P<span>(F) • </span>P<span>(T).)</span>
7 0
2 years ago
Read 2 more answers
Estimate to the nearest integer.<br> 21<br> O 3<br> O 4<br> O 5
Rudiy27

Answer:

5

Step-by-step explanation:

So the square root of 21 is 4.582...

If you round 4.582.. it is 5

Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.

Hope this helps ya!!

4 0
2 years ago
20% 20 % of the tickets sold at a water park were adult tickets. ​ ​If the park sold 55 55 tickets in all, how many adult ticket
Valentin [98]
55(0.2) = 11 Adult tickets. Take the total amount and times in by 20% to get the total adult tickets sold because they consisted of 20% of the tickets.
4 0
3 years ago
Other questions:
  • Question 4 of 10
    13·1 answer
  • a boat cost 92,000.00 and depreciates in value by 15% per year how much will the boat be worth after 10 years
    15·2 answers
  • What is the true solution to 3 in 2 + in 8 = 2 in (4x)
    13·2 answers
  • How do I simplify an expression
    15·2 answers
  • Find the simple interest on RS.2500 for 2 years and 6 months at 3% per annum.Also find the amount.
    10·1 answer
  • If the diameter of a circle is 12 feet, then the radius of the circle is
    14·2 answers
  • An alternating current. I Amperes, is given by i = 10sin2nft.where f is the frequenct in Hertz and t the time in seconds.What is
    14·1 answer
  • A small pool is leaking water from a hole. After 2 1/2 minutes, 3 1/2 liters of water leaked out.
    14·1 answer
  • WORTH 30 POINTS! Replace ... with &lt;, ≤, =, &gt;, or ≥ so that the inequality will be true for any value of x.
    15·2 answers
  • Which of the following statements are true about the function y = 3x?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!