Answer:
θ₁ = cos⁻¹ (n₁ / 2n₂)
Explanation:
For this exercise let's use the law of refraction
n₁ sint θ₁ = n₂. sin θ₂
Where n₁ and n₂ are the refractive indices for the two media, θ₁ and θ₂, the angles of incidence and refraction
They tell us that the angle of incidence is equal to the angle refracted over 2
θ₁ = θ₂ / 2
θ₂ = 2 θ₁
Let's replace
n₁ sin θ₁ = n₂ sin θ₂
Let's use the trigonometry relationship
sin 2θ = 2 sinθ cos θ
n₁ sin θ₁ = n₂ (2 sin θ₁ cos θ₁)
n₁ = n₂ cos θ₁
cos θ₁ = n₁ / 2 n₂
θ₁ = cos⁻¹ (n₁ / 2n₂)
Therefore, the angle of incidence is
θ₁ = cos⁻¹ (n₁ / 2n₂)
<h2>
Dimension for cheap enclose = 32.45 ft x 23.52 ft</h2>
Explanation:
Area of rectangular field, A = 830 ft²
Length = l
Width = w
So we have
l x w = 830
Fencing costs $2 per foot for two opposite sides, and $3 per foot for the other two sides.
Cost for fencing, C = 2 x 2 x w + 3 x 2 x l = 4 w + 6 l
For minimum cost we have derivative is zero
Dimension for cheap enclose = 32.45 ft x 23.52 ft
A compound is made up of two or more of atoms that are bonded together with each other via a chemical bonding. It is possible to break the compounds into separate smaller components by the process of chemical reaction. One very simple example of compound is water as it is made of two atoms of hydrogen and one atom of oxygen. Whenever atoms are joined together to create a compound, the atoms definitely loose their individual atomic properties. Other very commonly found compound is carbon dioxide. It is made up of one atom of carbon and two atoms of oxygen.
They are based on layers of rock the correspond to certain time periods, so my guess would be D.
Your weight on the moon given the data from the question is 110.5 N
<h3>Definition of mass and weight </h3>
Mass is simply defined as the quantity of matter present in an object. The mass of an object is constant irrespective of the location of the object.
Weight is simply defined as the gravitational pull on an object. The weight of an object varies from place to place due to gravity.
<h3>Relationship between mass and weight </h3>
Mass and weight are related according to the following equation
Weight (W) = mass (m) × Acceleration due to gravity (g)
<h3>How to determine the weight on the moon</h3>
- Mass (m) = 65 Kg
- Acceleration due to gravity on the moon (g) = 1.7 m/s²
- Weight (W) =?
W = mg
W = 65 × 1.7
W = 110.5 N
Learn more about mass and weight:
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