<h3><u>Answer</u>;</h3>
= 0.6
<h3><u>Explanation</u>;</h3>
Using Pythagoras theorrem
Base² + height ² = Hypotenuse²
Thus;
Base² = 15² - 12²
= 81
Base = √81 = 9
But; cosine = adjacent/hypotenuse
Hence; cos θ = 9/15
= 0.6
Answer:
Both use everyday language.
Explanation:
Language is the system through which man or animals communicate their ideas and feelings, either through speech, writing or other conventional signs, being able to use all the senses to communicate.
The term language is of Latin lingua origin.
The human being uses a complex language that expresses with sound sequences and graphic signs. Animals, meanwhile, communicate through sound and body signs, which even man has not been able to decipher, and which in many cases are far from simple.
Depending on the social context in which the language is produced, the speaker can use the formal language or technical language that is produced in situations that require the use of the standard language, for example, in classrooms or work meetings or language informal or everyday language that is used when there is intimacy between speakers, using colloquial expressions.
Everyday language is the use of informal, familiar language and is characterized by being a spontaneous, relaxed and expressive language. In everyday language, the speaker uses onomatopoeia, short sentences, repetitions, redundancies, among others. In turn, technical language is used by scientific and professional people.
Force vectors, use Pythagoras to get resultant force: sqrt ((30^2 + (40^2)) = 50m/s
Explanation:
1) N₂ + O₂ → 2 NO
Kc = [NO]² / ([N₂] [O₂])
Set up an ICE table:
![\left[\begin{array}{cccc}&Initial&Change&Equilibrium\\N_{2}&0.114&-x&0.114-x\\O_{2}&0.114&-x&0.114-x\\NO&0&+2x&2x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%26Initial%26Change%26Equilibrium%5C%5CN_%7B2%7D%260.114%26-x%260.114-x%5C%5CO_%7B2%7D%260.114%26-x%260.114-x%5C%5CNO%260%26%2B2x%262x%5Cend%7Barray%7D%5Cright%5D)
Plug into the equilibrium equation and solve for x.
1.00×10⁻⁵ = (2x)² / ((0.114 − x) (0.114 − x))
1.00×10⁻⁵ = (2x)² / (0.114 − x)²
√(1.00×10⁻⁵) = 2x / (0.114 − x)
0.00316 = 2x / (0.114 − x)
0.00361 − 0.00316x = 2x
0.00361 = 2.00316x
x = 0.00018
The volume is 1.00 L, so the concentrations at equilibrium are:
[N₂] = 0.114 − x = 0.11382
[O₂] = 0.114 − x = 0.11382
[NO] = 2x = 0.00036
2(a) Cl₂ → 2 Cl
Kc = [Cl]² / [Cl₂]
![\left[\begin{array}{cccc}&Initial&Change&Equilibrium\\Cl_{2}&2.0&-x&2.0-x\\Cl&0&+2x&2x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%26Initial%26Change%26Equilibrium%5C%5CCl_%7B2%7D%262.0%26-x%262.0-x%5C%5CCl%260%26%2B2x%262x%5Cend%7Barray%7D%5Cright%5D)
1.2×10⁻⁷ = (2x)² / (2 − x)
1.2×10⁻⁷ (2 − x) = 4x²
2.4×10⁻⁷ − 1.2×10⁻⁷ x = 4x²
2.4×10⁻⁷ ≈ 4x²
x² ≈ 6×10⁻⁸
x ≈ 0.000245
2x ≈ 0.00049
2(b) F₂ → 2 F
Kc = [F]² / [F₂]
![\left[\begin{array}{cccc}&Initial&Change&Equilibrium\\F_{2}&2.0&-x&2.0-x\\F&0&+2x&2x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%26Initial%26Change%26Equilibrium%5C%5CF_%7B2%7D%262.0%26-x%262.0-x%5C%5CF%260%26%2B2x%262x%5Cend%7Barray%7D%5Cright%5D)
1.2×10⁻⁴ = (2x)² / (2 − x)
1.2×10⁻⁴ (2 − x) = 4x²
2.4×10⁻⁴ − 1.2×10⁻⁴ x = 4x²
2.4×10⁻⁴ ≈ 4x²
x² ≈ 6×10⁻⁵
x ≈ 0.00775
2x ≈ 0.0155
F₂ dissociates more, so Cl₂ is more stable at 1000 K.