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
kondaur [170]
3 years ago
8

A design on the surface of a balloon is 9 cm wide when the balloon holds 62 cm3 of air. How much air does the balloon hold when

the design is 18 cm wide?
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{cccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{\sqrt{9}}{\sqrt{18}}=\cfrac{\sqrt[3]{62}}{\sqrt[3]{x}}

\bf \\\\\\
\cfrac{3}{3\sqrt{2}}=\cfrac{\sqrt[3]{62}}{\sqrt[3]{x}}\implies \cfrac{1}{\sqrt{2}}=\cfrac{\sqrt[3]{62}}{\sqrt[3]{x}}\implies \sqrt[3]{x}=\sqrt{2}\cdot \sqrt[3]{62}
\\\\\\
x=\left( \sqrt{2}\cdot \sqrt[3]{62} \right)^3\implies x=\sqrt{2^3}\cdot \sqrt[3]{62^3}\implies x=2\sqrt{2}\cdot 62
\\\\\\
\boxed{x=124\sqrt{2}}
You might be interested in
The candy shop puts 10 ounces of gummy bears in each box. How many boxes do they need to fill if there are 2,114 pounds of gummy
Tems11 [23]

Answer:

Number of boxes= 3,382.4 = 3,383 boxes

Step-by-step explanation:

Giving the following information:

Number of ounces per box= 10 ounces

Total pounds= 2,114

We know that one pound is 16 ounces.

<u>To calculate the number of boxes, we need to use the following formula:</u>

Number of boxes= total ounces / ounces per box

Number of boxes= (2,114*16) / 10

Number of boxes= 3,382.4 boxes

3 0
2 years ago
What is the answer to this plz
frosja888 [35]

Answer:

Step-by-step explanation:

Surface area = 2(12 × 8) + 2(12 × 3) + 2(3 × 8) = 312 in²

3 0
2 years ago
What is the domain…..
saul85 [17]

Answer:

(-00, 00)

Step-by-step explanation:

(-infinity, infinity)

4 0
2 years ago
Factor Completely: 100x2 - 1
fredd [130]

Answer:

d

Step-by-step explanation:

100x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

100x² - 1

= (10x)² - 1²

= (10x - 1)(10x + 1) → d

3 0
3 years ago
Need help for this question! For this graph, mark the statements that are true.
vagabundo [1.1K]

The correct answer are A. and B.

Good luck!!!

5 0
3 years ago
Other questions:
  • Triangle ABC is an isoceles right triangle inscribed in a circle. the center of the circle is point D and the diameter of the ci
    8·1 answer
  • 7 questions! 30 points! Circle test.
    13·1 answer
  • Which set of numbers is included as part of the solution set of the compound inequality
    8·2 answers
  • R = (–21 -5]
    11·1 answer
  • Two cars leave simultaneously from points A and B, the distance between which is 280 km. If the cars move to meet each other, th
    5·2 answers
  • Help plzzzzz‼️‼️‼️‼️‼️‼️‼️‼️
    15·1 answer
  • Lable the midpoint ​
    10·1 answer
  • Please help by Friday !!
    5·2 answers
  • The number of members in a labor union is 240, and the number increases by 5% each year. Find the number of members after 4 year
    5·1 answer
  • 6 less than the product of x and y
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!