Question

4. I've been seeing a lot of birds in my backyard lately and would like to get a birdhouse for them. I found one I like; however, I'm not sure if its height will fit between the tree branches where I think it should go. The bottom base (blue line) is 10 inches across and from the top of the birdhouse to edge of the bottom base (white line) is 8 inches. The space between the top and bottom branches where I would like it to go is 6 inches tall. Will the bird house fit? Why or why not? Show all work and answer with a complete sentence.

          4. I've been seeing a lot of birds in my backyard lately and would like to get a birdhouse for them. I found one I like; however, I'm not sure if its height will fit between the tree branches where I think it should go. The bottom base (blue line) is 10 inches across and from the top of the birdhouse to edge of the bottom base (white line) is 8 inches. The space between the top and bottom branches where I would like it to go is 6 inches tall. Will the bird house fit? Why or why not? Show all work and answer with a complete sentence.
        
Show more…
4. I've been seeing a lot of birds in my backyard lately and would like to get a birdhouse for them. I found one I like; however, I'm not sure if its height will fit between the tree branches where I think it should go. The bottom base (blue line) is 10 inches across and from the top of the birdhouse to edge of the bottom base (white line) is 8 inches. The space between the top and bottom branches where I would like it to go is 6 inches tall. Will the bird house fit? Why or why not? Show all work and answer with a complete sentence.

Added by James M.

Close

Geometry A Common Core Curriculum
Geometry A Common Core Curriculum
Ron Larson, Laurie Boswell 1st Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
4. I've been seeing a lot of birds in my backyard lately and would like to get a birdhouse for them. I found one I like; however, I'm not sure if its height will fit between the tree branches where I think it should go. The bottom base (blue line) is 10 inches across and from the top of the birdhouse to edge of the bottom base (white line) is 8 inches. The space between the top and bottom branches where I would like it to go is 6 inches tall. Will the bird house fit? Why or why not? Show all work and answer with a complete sentence. where I think it should go. The bottom base blue line) is 10 inches across and from the top of the birdhouse to edge of the bottom base (white line) is 8 inches. The space between the top and bottom branches where I would like it to go is 6 inches tall. Will the bird house fit? Why or why not? Show all work and answer with a complete sentence.
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Jennifer Stoner
David Collins verified

Allison Knapp and 97 other subject Geometry educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
here-is-a-diagram-of-a-birdhouse-elena-is-planning-to-build-it-is-a-simplified-diagram-since-in-real

Here is a diagram of a birdhouse Elena is planning to build. (It is a simplified diagram, since in reality, the sides will have a thickness.) About how many square inches of wood does she need to build this birdhouse?

Grade 7 Mathematics: Open Up Resources, Common Core State Standards Edition

Probability and Sampling

Chance Experiments

ornithologists-have-determined-that-some-species-of-birds-tend-to-avoid-flights-over-large-bodies-of-water-during-daylight-hours-it-is-believed-that-more-energy-is-required-to-fly-over-water-74767

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 5 km from the nearest point B on a straight shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 13 km apart. (a) Suppose flying over water takes 1.4 times as much energy per kilometer as flying over land. Then how far should point C be from B to minimize the total energy the bird expends as it returns to its nesting area? 5.1 km (b) If the bird flies to the shore at point x kilometers from B on its trip from the island to the nest, determine the ratio of energy spent over water to energy spent over land. (Your answer should depend only on x.) W/L =

Jacob F.

ornithologists-have-determined-that-some-species-of-birds-tend-to-avoid-flights-over-large-bodies-of-water-during-daylight-hours_-it-is-believed-that-more-energy-is-required-to-fly-over-wate-71081

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 3 km from the nearest point B on the shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 12 km apart. (Round your answers to two decimal places.) (a) In general, if it takes 1.4 times as much energy to fly over water as land, to what point C should the bird fly in order to minimize the total energy expended in returning to its nesting area? km from B (b) Let W and L denote the energy (in joules) per kilometer flown over water and land, respectively. Assuming the bird's energy expenditure is minimized, determine a function for the ratio W/L in terms of x, the distance from B to C. W/L = (c) What should the value of W/L be in order for the bird to fly directly to its nesting area D? (d) If the ornithologists observe that birds of a certain species reach the shore at a point 3 km from B, how many times more energy does it take a bird to fly over water than land?

Shaiju T.


*

Recommended Textbooks

-
Geometry A Common Core Curriculum

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition
achievement 1,157 solutions
Geometry

Geometry

Edward Burger, David J. Chard,Earlene J. Hall 1st Edition
achievement 1,246 solutions
Geometry

Geometry

Cindy J. Boyd, Jerry Cummins, Carol E. Malloy 1st Edition
achievement 1,233 solutions

*

Transcript

-
00:01 In problem five, we are shown a diagram of a birdhouse that elena is planning to build.
00:07 And we're asked to determine about how many square inches of wood will she need to build this birdhouse.
00:13 So we're basically asked what is the surface area of this birdhouse.
00:17 So what i'm going to do here is find the area of each of these sides, and then go ahead and add them together at the end.
00:26 So here we have 5 .5 times 9 .25 for the front.
00:42 We multiply those together.
00:46 Get 50 .875 inches squared.
00:53 Then over here, i'm going to go ahead and find the surface area of this portion.
01:01 To do that, i'm going to have to cut this off right here.
01:08 So i'm going to do 9 .25 times 5 .5 again.
01:12 So that's actually going to be the same for all three of these sides.
01:17 So i'm going to go ahead and multiply that by three, which gives me 152 .6255 inches cubed.
01:32 So that's for front and sides...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever