1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nignag [31]
3 years ago
15

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.

Mathematics
1 answer:
sp2606 [1]3 years ago
5 0

\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

\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}

\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}

You might be interested in
You are playing a board game with a friend. At the start, you move four spaces back. On your next turn, you move two spaces forw
igomit [66]

Answer:

x=-4+2

Step-by-step explanation:

6 0
3 years ago
Simplify sqrt 3× sqrt 27
sleet_krkn [62]
√3√27

=√(3*27)

=√81

=9

As 9*9=81.

----------------------

RULES:

√a√b=√ab

As (√a√b)²=((√a)²(√b)²)=√a√a√b√b=ab

When:

(√a√b)²=ab

√a√b=√ab
4 0
3 years ago
Read 2 more answers
What is 1 2/3 x 2 please help
Nadya [2.5K]

Answer:

3 1/3, or 10/3

Step-by-step explanation:

1 2/3 * 2 = 5/3 * 2 = 10/3 = 3 1/3

8 0
2 years ago
Read 2 more answers
Need help with this one
Elza [17]

Answer:

The one to the left. (A)

Step-by-step explanation:

The view would show 9 columns instead of 10?

6 0
3 years ago
Brianna is solving the equation -5 + 6(6x + 6) = 1 + 6x. Her steps are shown.
GuDViN [60]

Answer:

Part A: Brianna made a error on step 2. Because it has to be + 31 not + 41 cause it is a -5+36

Part B: x= -1

Step-by-step explanation:

This is how it should have been done.

Step 1: -5+6(6x+6)= 1+6x

Step 2: -5+36x= 36=1+6x

Step 3: 36x+31= 1+6x

Step 4: 36x= 6x-30

Step 5: 30x= -30

Step 6: x= -1

8 0
2 years ago
Other questions:
  • What is a 15% tip on a meal that costs $25.00
    11·2 answers
  • If we reject the null​ hypothesis, can we claim to have proved that the null hypothesis is​ false? why or why​ not?
    11·1 answer
  • If p=8, evaluate 4^2 / px3
    14·1 answer
  • A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and
    11·1 answer
  • James is 6 times older than his friend Zach . If Zach added 8 to his age and multiplied this sum by 3 . Write an equation that c
    13·1 answer
  • A central angle in a circle has a measure of 180°. The length of the arc it intercepts is 8 in.
    10·1 answer
  • Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of
    7·1 answer
  • This is a really hard question
    11·2 answers
  • What do I do with the “y = -f(x) +6” given to find the Domain and Range?
    7·2 answers
  • Ruben is buying bricks for a project. He knows that 5 bricks weigh 26 1/4 lb. He wants to know the weight of 24 bricks. What is
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!