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notka56 [123]
4 years ago
9

True or false? A triangle with sides of lengths 10, 24, and 27 is a right triangle.

Mathematics
1 answer:
Genrish500 [490]4 years ago
4 0
The hypotenuse is the longest side of a right angle triangle. Also,
hypotenuse² = base² + height²

Checking if the equation, Pythagoras theorem, is satisfied:

27² = 10² + 24²
729 ≠ 676

Thus, this is not a right triangle.
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Hi,

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next simplify, 6b=15b+21

now subtract 15b from both sides, 6b-15b=15b+21-15b

simplify again, -9b=21

divide both sides by -9, -9b/-9 = 21/-9

answer: -7/3

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Semmy [17]

The overall balance for year 5 after taxes is $270.68

Step-by-step explanation:

Starting Balance = $1000

Interest gained = 10%

Income tax = 30%

For year 1

Finding 10% interest:

We will find 10% interest of 1000 and add it to the starting balance.

=\frac{10*1000}{100}\\=100

So, interest gained = $100

Overall Balance = 1000+100 = $1100

30% tax

30%of 1100

=\frac{30*1100}{100}\\=330

30% tax is $330

The tax paid is deducted from the balance

Overall balance after taxes = 1100-330 =$770

Year 2

Finding 10% interest:

We will find 10% interest of $770 as balance is $770 after tax deduction  

=\frac{10*770}{100}\\=77

So, interest gained = $77

Overall Balance = 770+77 = $847

30% tax

30%of 847

=\frac{30*847}{100}\\=254.1

30% tax is $254.1

The tax paid is deducted from the balance

Overall balance after taxes = 847-254.1 =$592.9

For year 3

Finding 10% interest:

We will find 10% interest of $592.9 as balance is $592.9 after tax deduction  

=\frac{10*592.9}{100}\\=59.29

So, interest gained = $59.29

Overall Balance = 592.9+59.29= $652.19

30% tax

30%of 652.19

=\frac{30*652.19}{100}\\=195.657

30% tax is $195.65

The tax paid is deducted from the balance

Overall balance after taxes = 652.19-195.65 =$456.53

For Year 4

Finding 10% interest:

We will find 10% interest of $456.53 as balance is $456.53 after tax deduction  

=\frac{10*456.53}{100}\\=45.65

So, interest gained = $45.65

Overall Balance = 456.53+45.65= $502.18

30% tax

30%of 502.18

=\frac{30*502.18}{100}\\=150.65

30% tax is $150.65

The tax paid is deducted from the balance

Overall balance after taxes = 502.18-150.65 =$351.53

Year 5

Finding 10% interest:

We will find 10% interest of $351.53 as balance is $351.53 after tax deduction  

=\frac{10*351.53}{100}\\=35.15

So, interest gained = $35.15

Overall Balance = 351.53+35.15= $386.68

30% tax

30%of 386.68

=\frac{30*386.68}{100}\\=116.00

30% tax is $116.00

The tax paid is deducted from the balance

Overall balance after taxes = 386.68-116 =$270.68

So, overall balance for year 5 after taxes is $270.68

Keywords: Interest, Taxes

Learn more about interest at:

  • brainly.com/question/3614284
  • brainly.com/question/8280736
  • brainly.com/question/12773544

#learnwithBrainly

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Solve these word problems. Explain and show how you got your answer.
kow [346]
Number 1. <span>So the duck's OWN speed (if flying without any wind) with the wind behind him is: 
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Number 2.  </span>let s=salmon and c=current <span>
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downstream __ s+c=100m/8min __ s+c=12.5m/min 

adding the two equations __ s-c+(s+c)=5+12.5 __ 2s=17.5 __ s=8.75m/min 

substituting __ 8.75+c=12.5 __ c=3.75m/min</span>
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