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]
3 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]3 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
Find the measure of the missing angle.
melamori03 [73]

Answer:

It's 155

Step-by-step explanation:

Since the whole angle is 180

And u got 25

So 180-25=155

4 0
3 years ago
Read 2 more answers
Which statement must be true?
diamong [38]
I think it’s A Im not completely sure tho.
3 0
2 years ago
In a fruit cocktail, for every 20 ml of orange juice you need 45 ml of apple juice and 100 ml of coconut milk. What is the ratio
Anni [7]

the ratio of apple juice to coconut milk to orange juice is:

45:100:20 = 9:20:4

4 0
3 years ago
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5
Fynjy0 [20]

Answer:

a(6) = 37.97

Step-by-step explanation:

If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is

a(n) = 5*r^(n - 1).

Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97

5 0
2 years ago
Select the right answer
Harlamova29_29 [7]

Answer:

blurd po

Step-by-step explanation:

^_________^^_________^^_________^

3 0
3 years ago
Other questions:
  • The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches
    7·2 answers
  • Find the y-intercept for y=x^2-x-12
    15·1 answer
  • Find the volume of the cone.
    14·2 answers
  • What is the probability of exactly 3 girls out of three children?
    8·1 answer
  • Simplify <br>8³ × 8² × 8​
    10·2 answers
  • Easy question for alot points
    13·2 answers
  • Solve the following system of equations. <br> y = 12 - 5x <br> 2x + 3y = 11
    7·1 answer
  • Find the quotient: -18 ÷ (-9)
    9·2 answers
  • Mike had two hundred fifty- eight dollars to spend on nine books. After buying them he had fifteen dollars. How much did each bo
    15·1 answer
  • Help please im marking brainliest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!