Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Sharon is decreasing the size of a diagram of a leaf that is 30 centimeters long by 10 centimeters wide, if the reduced diagram is 4 centimeters wide how long will it be?

Sagot :

luana
[tex]x-length\\\\From\ proportion:\\\\\frac{30}{10}=\frac{x}{4}\\\\10x=120\ \ \ \ \ \ |:10\\\\x=12\\\\It\ will\ be\ 12\ cm\ long[/tex]
TaeKwonDoIsDead

Answer:

12 cm


Step-by-step explanation:

This is a proportionality/similarity problem.

10 cm turned to 4 cm. So by how much has it decreased? In other words, 10 multiplied by WHAT is 4?

[tex]10*x=4\\x=\frac{4}{10}\\x=0.4[/tex]

0.4 is also known as the scale factor from the large diagram to the small diagram.

So how much would 30 cm become? It would be 30 multiplied by the scale factor, which is 0.4.

[tex]30*0.4=12[/tex]

Hence, the length of the reduced diagram would be 12 cm.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.