Mathematics: WILL MARK BRAINLIEST! PLEASE SHOW WORK! The volumes of two similar solids are 729m3 and 512 m3. The surface area of the solid is 324m2 What is the surface area of the smaller solid?

teamsStep-by-step explanation:Let s do it by parts. Let s consider a fact: there has to be only one winner. After six games:So, Since it s a decreasing Geometric Sequence (we have to lead to one winner), and each match two teams play, the beaten one leaves the championship.a) Explicit Rule (Formula):That s to say the tournament started with 32 teamsb) Recursive RuleIf we have the first term of the Geometric Sequence we can recursively find the subsequent terms. The Recursive Rule is useful when...

WILL MARK BRAINLIEST! PLEASE SHOW WORK! The volumes

Ответ:

gennhill14

27.01.2022

Mathematics

Step-by-step explanation:

Step 1: Make an equation

$\frac{volume_1}{surface-area_1} = \frac{volume_2}{surface-area_2}$

$\frac{729}{324} = \frac{512}{x}$

Step 2: Cross multiply

$\frac{729}{324} = \frac{512}{x}$

729(x) = 324(512)

729x = 165888

Step 3: Divide both sides by 729

729x / 729 = 165888 / 729

$x = \frac{165888} {729}$

x = 227.555...

$x = \frac{165888} {729}$ or in decimal form - x = 227.555...

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Ответ:

reycaden

27.01.2022

Mathematics

256 m²

Step-by-step explanation:

(Ratio of sides)³ = Ratio of volumes

729/512 = (Ratio of sides)³

Ratio of sides = 9/8

(Ratio of sides)² = ratio of area

(9/8)² = (324/x)

x = 256

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Ответ:

samuelerlikhman

28.11.2021

Mathematics

teams

Step-by-step explanation:

Let's do it by parts.

Let's consider a fact: there has to be only one winner. After six games:

So, $a_{6}=1$

Since it's a decreasing Geometric Sequence (we have to lead to one winner), and each match two teams play, the beaten one leaves the championship.

$r=(\frac{1}{2})$

$a_{1}=?$

a) Explicit Rule (Formula):

$a_{6}=1,a_{1}=?r=\frac{1}{2}\\1=a_{1}\left ( \frac{1}{2} \right )^{6-1}\\1=a_{1}\left ( \frac{1}{2} \right )^{5}\\1=\frac{a_{1}}{32}\\a_{1}=32$

That's to say the tournament started with 32 teams

$\{32,16,8,4,2,1\}$

b) Recursive Rule

If we have the first term of the Geometric Sequence we can recursively find the subsequent terms. The Recursive Rule is useful when we have the prior term and we need the following one. Also, to derive the explicit rule.

$a_{1}=32\\a_{n}=\left ( \frac{1}{2} \right )a_{n+1}\\a_{2}=\left ( \frac{1}{2} \right )32=16\\a_{3}=\left ( \frac{1}{2} \right )16=8\\a_{4}=\left ( \frac{1}{2} \right )8=4\\a_{5}=\left ( \frac{1}{2} \right )4=2\\a_{6}=\left ( \frac{1}{2} \right )2=1\\$

$\{32,16,8,4,2,1\}$

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WILL MARK BRAINLIEST! PLEASE SHOW WORK!
The volumes of two similar solids are 729m3 and 512 m3. The surface area of the solid is 324m2 What is the surface area of the smaller solid?

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