Answer:
The product of the complex number and its conjugate is a real number
For this case we have the following expression:
By definition of multiplication of powers of the same base, we have to put the same base and add the exponents, that is:
So:
Answer:
To solve this, we'll use Euler's Polyhedral formula.
This formula states that in any polyhedron, the number of vertices V, faces F, and edges E, satisfy:
If we solve for the edges E, we'll get:
Using the data given,
We get that the polyhedron would have 12 edges
From the given situation above, we form a right triangle with legs equal to the height of the tree and the length of the shadow it casted. The hypotenuse is the length from the tip of the tree to the tip of the shadow.
The angle at which the ray of the sun hit the ground is that which has a tangent equal to 100 / 150 or 2/3. This angle is equal to 33.69. Thus, the answer is letter B. 34°.
The constant of proportionality, o slope, is the coefficient multiplying in the equation. The y-intercept is the constant term added at the end, with no variable: