Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mr.luna

  • 3 years ago

the altitude of a triangle is increasing at a rate of 1 cm/min while the area in increasing at a rate of 2 cm^2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100cm^2?

  • This Question is Closed
  1. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You got this

  2. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    What's the formula we use here?

  3. mr.luna
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is there a shorcut? i feel like i just have to double something then square it.

  4. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    1. Draw diagram, include given info 2. Apply proper formula 3. Take derivative of formula 4. Input values into formula 5. Isolate what you need to find

  5. mr.luna
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1317011985889:dw|

  6. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I skipped a step which is to find other necessary values

  7. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    h': 1 cm/min A': 2 cm^2/min. b'?: h=10 cm, A=100cm^2 A = bh/2 A' = b'h/2 + bh'/2 b' = (A' - bh'/2)(2/h)

  8. mr.luna
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    given: dA/dt= 1 dAREA/dt=2 A=10 AREA = 100

  9. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    define b as 2A/h

  10. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Amistre, go to bed, lol

  11. mr.luna
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im gona try and work it out then ill shoot you guys an answer. give me a sec

  12. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    b' = (A' - 2Ah'/2h)(2/h) b' = (A' - Ah'/h)(2/h) b' = (2 - 100(1)/10) (2/10) b' = (2 - 10) (1/5) b' = -8/5 maybe?

  13. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ..... i thought this was bed :)

  14. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I believe you

  15. mr.luna
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    why is b, 2A/h

  16. amistre64
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    becasue A = bh/2; Area = base*height/2 ... solveing for base we get; base = 2*Area/height

  17. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.