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Paraphin [41]
3 years ago
12

Use a Pythagorean Triple to find x.

SAT
1 answer:
dlinn [17]3 years ago
5 0

Explanation:

Given

perpendicular (p) = 48

base(b) = 14

hypotenuse (h) = x = ?

We know by using Pythagoras theorem

x² = p² + b²

x² = 48² + 14²

x² =2304 + 196

x² = 2500

x = √2500

Therefore x = 50

Hope it will help you :)

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How many ways can you listen to 3 songs from a cd that has 12 selections?
kati45 [8]

Taking into account the definition of permutation, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.

<h3>What is permutation</h3>

Permutations refer to the action of arranging all the members of a set in some kind of order or sequence. This means that if a set is already ordered, the process of rearranging its elements is called permutation.

In other words, permutations of m elements in n positions are the different ways in which the m elements can be arranged occupying only the n positions.

In this case, the elements are not repeated, since if they are repeated or equal to each other, exchanging them does not generate a new permutation. And the order does matter, since the exchange between two different elements generates a new permutation

To obtain the total of ways in which m elements can be placed in n positions, the expression is used:

P=\frac{m!}{(m-n)!}

The sign ! indicates the factorial function, which indicates that all positive integers between the number that appears in the formula and the number 1 must be multiplied.

<h3>Number of ways you can listen to 3 songs</h3>

The order in which songs are listening is important as there is no plan to listen to the same song twice. So, the permutation can be applied.

Being:

  • m=12
  • n=3

and replacing in the expression for permutation, you get:

P=\frac{12!}{(12-3)!}

P=\frac{12!}{9!}

P=\frac{479001600}{362880}

<u><em>P= 1320</em></u>

Finally, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.

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4 0
2 years ago
What is the simplified form of ? 5000 5000 100 100.
Reptile [31]

Answer:

um are they four different nos. if so then

5×10 to the power of 3 for the first two

1× 10 to the power of 2 for the second two

but if the are one number then

5× 10 to the powers of 13 since u didn't state to which form I put it in standard form your welcome

8 0
3 years ago
Why did the prisoner choose the bread and not the key brainly.
8_murik_8 [283]

The Prisoner choose the bread and not the key because he prioritized the

Cat for escaping.

This was contained in Act 5 of Hamlet which was written by William

Shakespeare. Hamlet saw himself as a righteous hero and didn't want to

do the wrong thing.

He picked the bread to fill his stomach and left the key so the cat because

it needed it more in order to escape and avenge his father's death.

Read more about Hamlet here brainly.com/question/806658

4 0
3 years ago
If |2x - 2| &gt; 2, what is the range of x?
EastWind [94]

Answer:

B is the answer

X < = 0 or x > =2

Explanation:

2x -2 >= 2 or 2x-2 < = - 2

2x > =4 Or 2x < = 0

X > =2. Or x < = 0

7 0
3 years ago
Determine the empirical formula of a compound containing 47. 37 grams of carbon, 10. 59 grams of hydrogen, and 42. 04 grams of o
Effectus [21]

Considering the definition of empirical formula, the empirical formula is C₃H₈O₂ and the molecular formula is C₉H₂₄O₆.

<h3>Definition of empirical formula</h3>

The empirical formula is the simplest expression to represent a chemical compound, which indicates the elements that are present and the minimum proportion in whole numbers that exist between its atoms, that is, the subscripts of chemical formulas are reduced to the most integers. small as possible.

<h3>Empirical formula in this case</h3>

In this case, you have:

  • Carbon (C): 47.37 grams
  • Hydrogen (H): 10.59 grams
  • Oxygen (O):  42.04 grams

Then it is possible to calculate the number of moles of each atom in the molecule, taking into account the corresponding molar mass:

  • Carbon (C): \frac{47.37 grams}{12 \frac{g}{mole} }= 3.95 moles
  • Hydrogen (H): \frac{10.59 grams}{1 \frac{g}{mole} }= 10.59 moles
  • Oxygen (O):  \frac{42.04 grams}{16 \frac{g}{mole} }= 2.63 moles

The empirical formula must be expressed using whole number relationships, for this the numbers of moles are divided by the smallest result of those obtained. In this case:

  • Carbon (C): \frac{3.95 moles}{2.63 moles }= 1.5
  • Hydrogen (H): \frac{10.59 moles}{2.63 moles }= 4
  • Oxygen (O):  \frac{2.63 moles}{2.63 moles }= 1

Finally, since in the empirical formula the numbers of moles must be expressed in whole numbers, the ratio of atoms is multiplied by some number with which everything is obtained in simple whole numbers (in this case by 2):

  • Carbon (C): 1.5× 2= 3
  • Hydrogen (H): 4× 2= 8
  • Oxygen (O):  1× 2= 2

Therefore the C: H: O mole ratio is 3: 8: 2

Finally, the empirical formula is C₃H₈O₂.

<h3>Molecular formula</h3>

To obtain the molecular formula you must relate its molecular weight (PMc) with the molecular weight of the empirical formula (PMfe).

PMfe= PM (C₃H₈O₂)= 76 g/mole

The molar mass of the compound (PMc) was determined to be 228.276 g/mol. Dividing this mass PMc by the molar mass of the empirical formula PMfe gives:

228.276 g/mol ÷ 76 g/mole= 3

This means that in the molecular formula there are 3 unit formulas (empirical formulas), so it is necessary to multiply the number of all atoms by 3.

Then, the molecular formula is C₉H₂₄O₆.

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3 0
2 years ago
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