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myrzilka [38]
3 years ago
6

I need help on this problem, mostly understanding though, please help me

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

well, let's notice something, a cube, all equal sides, has a side of 6, thus its volume is simply 6*6*6 = 216 cm³.

now, a rectangular prism, is a cuboid as well, but with varying dimensions.

let's notice something 6*6*6 is simply a multiplication of 3 numbers, let's then do a quick <u>prime factoring</u> of those numbers, well, 6 factors only into 2 and 3, so then the product of 6*6*6 can really be rewritten as (2*3)(2*3)(2*3).

well, regardless on how we rearrange the factors, the product will be the same, commutative property, so the rectangular prism will more or less have the same product and thus just about the same prime factors.

so let's rearrange on say hmmm height = 3 cm, length = 3*3 cm and width = 2*2*2 cm, notice, is still the same prime factors, 3*9*8 = 216 cm³.

Check the picture below.

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Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old
erik [133]

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

3 0
3 years ago
What is the length of the missing leg? If necessary, round to the nearest tenth.
KengaRu [80]

<u>Answer:</u>

  • a = 3.5

<u>Step-by-step explanation:</u>

<u>Let's find 'a' using Pythagoras theorem.</u>

  • => 4² = 2² + a²
  • => 16 = 4 + a²
  • => 12 = a²
  • => a = √12
  • => a = √2 x 2 x 3
  • => a = 2√3
  • => a = 2 x √3
  • => a = 2 x 1.732
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Hoped this helped.

BrainiacUser1357

4 0
2 years ago
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levacccp [35]

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3 years ago
1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate
UNO [17]

Answer:

D. 2*10^{27} kg

Step-by-step explanation:

Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg

Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")

To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.

We have 27 zeros there.

Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.

An estimate of the mass of Jupiter = 2*10^{27} kg

6 0
3 years ago
What is the result of 4/ 1/2
Gemiola [76]

\bf \cfrac{~~4~~}{\frac{1}{2}}\implies \cfrac{~~\frac{4}{1}~~}{\frac{1}{2}}\implies \cfrac{4}{1}\cdot \cfrac{2}{1}\implies 8

7 0
3 years ago
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