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Arte-miy333 [17]
3 years ago
11

Please help!!!!!! please and thank you!!

Mathematics
2 answers:
Shtirlitz [24]3 years ago
4 0
All angles add up to 180 and you know you have a right angle which is 90 degree. So 180-90=90 90/2=45
klemol [59]3 years ago
3 0

Since the sum of the interior angles of a triangle equals 180° and one of the angles is a right angle (90°), the sum of the remaining two angles must equal 90° (180°-90°=90°)

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A system contains n atoms, each of which can only have zero or one quanta of energy. How many ways can you arrange r quanta of e
My name is Ann [436]

Answer:

\mathbf{a)} 2\\ \\ \mathbf{b)} 184 \; 756 \\ \\\mathbf{c)}  \dfrac{(2\times 10^{23})!}{(10^{23}!)(10^{23})!}

Step-by-step explanation:

If the system contains n atoms, we can arrange r quanta of energy in

                         \binom{n}{r} = \dfrac{n!}{r!(n-r)!}

ways.

\mathbf{a)}

In this case,

                                n  = 2, r=1.

Therefore,

                    \binom{n}{r} = \binom{2}{1} = \dfrac{2!}{1!(2-1)!} = \frac{2 \cdot 1}{1 \cdot 1} = 2

which means that we can arrange 1 quanta of energy in 2 ways.

\mathbf{b)}

In this case,

                                n  = 20, r=10.

Therefore,

                    \binom{n}{r} = \binom{20}{10} = \dfrac{20!}{10!(20-10)!} = \frac{10! \cdot 11 \cdot 12 \cdot \ldots \cdot 20}{10!10!} = \frac{11 \cdot 12 \cdot \ldots \cdot 20}{10 \cdot 9 \cdot \ldots \cdot 1} = 184 \; 756

which means that we can arrange 10 quanta of energy in 184 756 ways.

\mathbf{c)}

In this case,

                                n = 2 \times 10^{23}, r = 10^{23}.

Therefore, we obtain that the number of ways is

                    \binom{n}{r} = \binom{2\times 10^{23}}{10^{23}} = \dfrac{(2\times 10^{23})!}{(10^{23})!(2\times 10^{23} - 10^{23})!} = \dfrac{(2\times 10^{23})!}{(10^{23}!)(10^{23})!}

3 0
3 years ago
What's the answer to -3(20+5x)+x
lawyer [7]

Answer:

-60-14x

Step-by-step explanation:

Distribute the 3: -3(20+5x)+x => 20(-3)+3(-5x)+x => -60 -15x+x

Simplify: -60-15x+x => -60-14x

3 0
3 years ago
W is the midpoint of VX. What is VX if VW=2x+5 and WX =4x-3
Novosadov [1.4K]

Answer:

<h2>VX = 26</h2>

Step-by-step explanation:

If W is the midpoint of VX then VW = WX. Therefore we have the equation:

2x + 5 = 4x - 3          <em>subtract 5 from both sides</em>

2x = 4x - 8       <em>subtract 4x from both sides</em>

-2x = -8        <em>divide both sides by (-2)</em>

x = 4

VX = VW + WX

VX = 2x + 5 + 4x - 3 = (2x + 4x) + (5 - 3) = 6x + 2

Put the value of x = 4 to 6x + 2:

VX = 6(4) + 2 = 24 + 2 = 26

7 0
3 years ago
Roger's father also compares the text plans from the two companies. He knows that Dial It Up charges $5 for 100 text messages an
brilliants [131]
Okay so what is the question
6 0
3 years ago
Read 2 more answers
NEED HELP ASAP WILL GIVE BRAINLIEST THANK YOU
olga2289 [7]

Answer:

11:00 am< 6

84>6

Step-by-step explanation:

3 0
3 years ago
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