Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run. If the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing? 1 9/16

Sagot :

MrRoyal

Answer:

[tex]Actual\ Length : Scale\ Length = 8 : 1[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 12\frac{1}{2}ft[/tex]

[tex]Scale\ Length = 1\frac{9}{16}ft[/tex] --- See attachment

Required

Determine the scale used

The scale of the drawing can be represented using the following ratio

[tex]Scale = Actual\ Length : Scale\ Length[/tex]

Substitute values for actual and scale lengths

[tex]Scale = 12\frac{1}{2}: 1\frac{9}{16}[/tex]

Convert to improper numbers

[tex]Scale = \frac{25}{2}: \frac{25}{16}[/tex]

Convert to division:

[tex]Scale = \frac{25}{2}/\frac{25}{16}[/tex]

[tex]Scale = \frac{25}{2}*\frac{16}{25}[/tex]

[tex]Scale = \frac{1}{2}*\frac{16}{1}[/tex]

[tex]Scale = \frac{16}{2}[/tex]

[tex]Scale = \frac{8}{1}[/tex]

Convert to ratio

[tex]Scale = 8 : 1[/tex]

Hence, the scale of the drawing is:

[tex]Actual\ Length : Scale\ Length = 8 : 1[/tex]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.