Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

raytiller1 Group Title

A tower in Centerville sends radio signal a certain distance (in miles) according to the equation: x2 + y2 = 3,600. The Martinez family lives 50 miles north and 70 miles east of Centerville. Part 1: Can the Martinez family receive the radio signal from Centerville?

  • one year ago
  • one year ago

  • This Question is Closed
  1. Veelution Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you know the Pythagorean theorem

    • one year ago
  2. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You're given the equation:\[x^2+y^2=3600\]and you should know this will be a right triangle where \[a^2+b^2=c^2\]Therefore first figure out what c is...that will be the range of the signal: \[3600 = c^2\]\[c=60 \space miles\]The problem states that the Martinez family lives 50 miles north and 70 miles east of Centerville...which means a = 50 and b = 70...what do you get for C using the same equation as above (Pythagorean Theorem)?

    • one year ago
  3. raytiller1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so 50^2+70^2=60^2 ?@Shane_B 2500+4900= 3600 ?

    • one year ago
  4. raytiller1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    and so no they can't get the signal?

    • one year ago
  5. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think you got confused there. \[50^2+70^2= c^2\]You have to solve for c in that equation to get how far they are from the signal. If it's greater than 60 miles, they won't receive it.

    • one year ago
  6. raytiller1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i thought we solved for c already?

    • one year ago
  7. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I first solved for c just to get the range of the signal based on x^2+y^2=c^2=3600. Then you have solve for how far they are away from it...using the same base equation of \[a^2+b^2=c^2\]

    • one year ago
  8. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I don't want to confuse you more but since the question is only asking if their distance is greater than the signal's distance, you could essentially boil it down to this question: Is 3600 < 50^2+70^2?

    • one year ago
  9. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Maybe that will make more sense to you

    • one year ago
  10. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    If the above equation is true, they will get the signal.

    • one year ago
  11. raytiller1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes ok now i get it i think so 50^2 +70^2 > 3600 so they will get it?

    • one year ago
  12. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    If it's > than 3600...they are too far away...it must be <=

    • one year ago
  13. raytiller1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so yes they wont get it because 25000 + 49000=74000 >3600

    • one year ago
  14. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    That's correct. Maybe this will help clear this up. The range of the radio signal is:\[\sqrt{3600}=60 \space miles\]The distance the family is from it is:\[\sqrt{50^2+70^2}=86 \space miles\]

    • one year ago
  15. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You can answer the question using either method...I probably should have started with the simpler one: 50^2+ 70^2 > 3600 so they are out of range.

    • one year ago
  16. raytiller1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thanks @Shane_B

    • one year ago
  17. Shane_B Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You're welcome

    • one year ago
  18. raytiller1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i have another question...

    • one year ago
  19. raytiller1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    am i right? A store displays six computers on a shelf side–by–side. If the first computer is eight inches wide and each successive computer is four inches wider than the previous one, find the total width of the computers on the shelf. Part 1: Describe the sigma notation used in answering the question above. (2 points) Part 2: Show all your work and answer the question. (3 points) a few moments agoEdit Question 8 ∑ 4 + 4n n=1 ∑ 4 + 4n = 4 ∑ 1 + n 4 * 8 + 4 ∑ n 32 + 4 [8 * 9 / 2] 32 + 40 72 inches

    • one year ago
    • Attachments:

See more questions >>>

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.