Answer:
BC ≈ 1.40
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = 35°
Opposite Leg BC = <em>x</em>
Adjacent Leg AC = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [Tangent]: tan35° = x/2
- Isolate <em>x</em>: 2tan35° = x
- Rewrite: x = 2tan35°
- Evaluate: x = 1.40042
- Round: x ≈ 1.40
Photonic molecules are a theoretical natural form of matter which can also be made artificially in which photons bind together to form "molecules". Photonic molecules are formed when individual (massless) photons "interact with each other so strongly that they act as though they have mass".
Answer:
Point of tangency is or
Step-by-step explanation:
You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):
Therefore, the point of tangency is or
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function in an interval from a to b is given by:
In this question:
Where x goes from 5 to 7.
This means that . So
The rate of change is:
The average rate of change of the function in this interval is of 18.