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
Find the missing lengths of the sides
SCORPION-xisa [38]
That's a 30-60-90 triangle, so the hypotenuse will always be 2x, the shorter leg will be x and the longer leg will be x√3. In this case, we are given the longer leg and we can deduce that x = 9. So, a = x = 9 and c = 2x = 18. Your answer is A, a = 9 yd, c = 18 yd.
8 0
3 years ago
Read 2 more answers
Three dressers are placed side by side. One dresser is 5 feet 10 inches wide, another is 2 feet 11 inches wide, and the third is
lisov135 [29]
The answer is 13 feet 6 inches
7 0
3 years ago
Mia has two whole bananas and 1/5 of another banana. Write a mixed number that represents the amount of bananas she has.
Juliette [100K]
2 bananas, 1/5 of another banana, This means it is 2 and 1/5, if you want a complete mixed number, it would be 11/5 bananas.
3 0
3 years ago
Hal used the following procedure to find an estimate for Step 1: Since and and 81 < 82.5 < 100, is between 9 and 10. Step
aalyn [17]
The answer would be i<span>n step 4, he made an error in determining which value is closer to 82.5</span>
6 0
3 years ago
Read 2 more answers
Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate
lakkis [162]

Answer:

See explanation

Step-by-step explanation:

Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.

Hope this helps!

8 0
3 years ago
Other questions:
  • What is the missing value for y?<br><br> a.)62<br> b.)60<br> c.)38<br> d.)21
    9·1 answer
  • the ebola virus has an infection rate of 11% per day as compared to the SARS virus, which has a rate of 4% per day. If there wer
    11·1 answer
  • Solve for x: 5x + 2 = 4x - 9.<br> 07<br> O-7<br> O 11<br> 0-11
    15·2 answers
  • Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving
    9·1 answer
  • 2.9y=11.6 what does y equal?
    9·1 answer
  • How do you solve 3b(9b-27)=0
    10·2 answers
  • HELP PLEASEEEEEEEE!!!!!!!
    6·2 answers
  • I need help asap thank you
    8·1 answer
  • A moving sidewalk travels at a rate defined by the function f(x). A boy on the sidewalk is walking at a rate defined by the func
    15·1 answer
  • Period of f(x)=cos(x)+2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!