Mathematics, 17.01.2020 11:31 frankcaroccio0203
Given the volume of figure a is 512cm ^3and figure b is 343cm^3, find the ratio of the perimeter from figure a to figure b.
Answers: 3
![\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill](/tpl/images/0459/2941/a310b.png)
![\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}](/tpl/images/0459/2941/ef67c.png)
![\bf \cfrac{\textit{figure A}}{\textit{figure B}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{512}}{\sqrt[3]{343}}\qquad \begin{cases} 512=&2^9\\ &2^{3\cdot 3}\\ &(2^3)^3\\ 343=&7^3 \end{cases}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{(2^3)^3}}{\sqrt[3]{7^3}} \\\\\\ \cfrac{s}{s}=\cfrac{2^3}{7}\implies \cfrac{s}{s}=\cfrac{8}{7}\implies s:s = 8:7\impliedby \textit{ratio of the }\stackrel{sides~and}{perimeters}](/tpl/images/0459/2941/60a23.png)
Another question on Mathematics
Mathematics, 21.06.2019 14:10
5500 dollars is placed in an account with an annual interest rate of 6.5%. to the nearest tenth of a year, how long will it take for the account value to reach 19700 dollars?
Answers: 2
Mathematics, 22.06.2019 02:20
What are the solutions of the equation x4 – 5x2 – 14 = 0? use factoring to solve. someone !
Answers: 2
Mathematics, 22.06.2019 04:00
Which of the following questions describes the equation g + (-4) = -5? a)what number, when added to negative four, is equal to negative five? b)what number, when added to negative five, is equal to negative four? c)what number, when subtracted from negative four, is equal to negative five? d)what number, when subtracted from negative five, is equal to negative four?
Answers: 1
You know the right answer?
Given the volume of figure a is 512cm ^3and figure b is 343cm^3, find the ratio of the perimeter fro...
Questions
Mathematics, 16.09.2019 02:30
Biology, 16.09.2019 02:30
English, 16.09.2019 02:30
History, 16.09.2019 02:30
Biology, 16.09.2019 02:30
Mathematics, 16.09.2019 02:30
Mathematics, 16.09.2019 02:30
Mathematics, 16.09.2019 02:30
Arts, 16.09.2019 02:30
History, 16.09.2019 02:30
History, 16.09.2019 02:30
Biology, 16.09.2019 02:30
