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
kow [346]
3 years ago
14

Related Rates

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer:

  1. 0.382 m/min
  2. 8 1/3 ft/s

Step-by-step explanation:

1. The rate of change of volume is ...

  V = πr^2h

  V' = πr^2h'

  h' = V'/(πr^2) = (3 m^3/min)/(π(5 m)^2) = 0.12/π m/min

  h' ≈ 0.382 m/min

__

2. In the attached, ∆PCM ~ ∆MXS, so we can write the proportion ...

  x/9 = s/15 . . . . where x = BX and s = BS in the diagram

Multiplying by 15 gives ...

  s = (15/9)x = (5/3)x

Then the rate of change is ...

  s' = (5/3)x' = (5/3)(5 ft/s)

  s' = 8 1/3 ft/s

The tip of the shadow is moving at 8 1/3 feet per second.

You might be interested in
Analyze the graph below and answer the question that follows. / What is the angle of rotation from RST to R'S'T' ? Assume that t
liberstina [14]

Answer:

C

Step-by-step explanation:

This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.

6 0
3 years ago
Factor the perfect square trinomial y2 + 20y + 100.
klemol [59]

Step-by-step explanation:

First find the factors of 100 then

y2 + 20y +100

y2 +10y + 10y +100

y ( y + 10) + 10(y + 10)

So the factor is ( y + 10)

Option C is the correct answer

3 0
3 years ago
Kyle is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 5/7 of
gizmo_the_mogwai [7]

Answer:

1 4/35

Step-by-step explanation:

All I did was do 5/7 + 2/5.

5 0
3 years ago
ANSWER PLZ QUICK AND FAST WHAT
Marysya12 [62]

the answer is C

Use the distributive property

3 0
2 years ago
Read 2 more answers
Question Progress<br> Decrease £250 by 15%
balandron [24]

Answer:

215 i guess

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the measure of angle BXF?​
    12·2 answers
  • If there are 40 reps in 3 states, and state 1 has 13, and state 2 has twice as many as state 3, how many reps does state 2 have?
    7·1 answer
  • 3. Sandwich shop customers can choose the bread and meat they want.
    12·1 answer
  • What word describes the equal shares of the circle?
    14·1 answer
  • Jack's credit card has a 20% APR. Find the periodic interest rate from June 3
    5·1 answer
  • ✨Could y'all help me pls cuz im dumb soooo imma give BRAINLIEST and don't jus pick a random answer (-_-")✨
    11·1 answer
  • In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the p
    10·1 answer
  • Show all work to multiply quantity 2 plus the square root of negative 25 end quantity times quantity 4 minus the square root of
    8·2 answers
  • the population of insects in an experiment has been increasing by 9% each week. if there were 16 insects at the beginning of the
    5·1 answer
  • 5.000g rounded to the nearest whole gram
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!