Answer:
Step-by-step explanation:
Answer:
The altitude is 6.53 cm
Step-by-step explanation:
A regular tetrahedron is a triangular pyramid having equilateral triangular faces, therefore we have;
Sides of the equilateral triangle = 8 cm
Given that the slant height, the edge of the tetrahedron, and half the base edge of the tetrahedron form a right triangle, we have;
The slant height, h = √(8² - (8/2)²) = √48 = 4×√3
The segment representing the altitude, H, of the tetrahedron forms a right triangle with the edge of the tetrahedron and 2/3×h
Therefore;
8² = H² + (2/3×4×√3)²
H² = 8² - (2/3×4×√3)²
H² = 64 - 64/3 = 128/3
The altitude H = √(128/3) = √6×8/3 = 6.53 cm.
Answer: The domain of a function represents all the possible input values or independent variables that can be used in the function. In this case, the function models the relationship between the number of workers and the number of bricks laid on the wall.
To determine the domain, we need to consider what values the number of workers can take on in this relationship. Since the number of workers is discrete, it means that only whole numbers can be used to represent the number of workers. For example, you cannot have 2.5 workers.
Therefore, the domain of the function would be a set of whole numbers. We can represent this using interval notation as {0, 1, 2, 3, ...}, where the ellipsis (...) indicates that the pattern continues indefinitely.