Mathematics, 13.07.2019 06:00 vanessa8527
The areas of two similar triangles are 98in^2 and 162in^2. what is the ratio of their perimeters when comparing smaller and larger?
Answers: 1
![\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\ \rule{31em}{0.25pt}\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}](/tpl/images/0083/7489/dab8d.png)
![\bf \rule{31em}{0.25pt}\\\\ \cfrac{smaller}{larger}\qquad \cfrac{s}{s}=\cfrac{\sqrt{98}}{\sqrt{162}}~~ \begin{cases} 98=2\cdot 7\cdot 7\\ \qquad 2\cdot 7^2\\ 162=2\cdot 9\cdot 9\\ \qquad 2\cdot 9^2 \end{cases}\implies \cfrac{s}{s}=\cfrac{\sqrt{2\cdot 7^2}}{\sqrt{2\cdot 9^2}} \\[2em] \cfrac{s}{s}=\cfrac{7\sqrt{2}}{9\sqrt{2}}\implies \cfrac{s}{s}=\cfrac{7}{9}](/tpl/images/0083/7489/d4a1c.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 16:40, cthompson1107
The table shows the total distance that myra runs over different time periods. which describes myra’s distance as time increases? increasing decreasing zero constant
Answers: 2
Mathematics, 21.06.2019 19:50, JAXKBOII55951
If the scale factor between two circles is 2x/5y what is the ratio of their areas?
Answers: 3
Mathematics, 21.06.2019 23:00, jalenrussell321
The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.
Answers: 1
You know the right answer?
The areas of two similar triangles are 98in^2 and 162in^2. what is the ratio of their perimeters whe...
Questions in other subjects:
Mathematics, 06.05.2020 04:12
Mathematics, 06.05.2020 04:12
Mathematics, 06.05.2020 04:12
Mathematics, 06.05.2020 04:12
Mathematics, 06.05.2020 04:12
English, 06.05.2020 04:12
