Answer:
vertices (V) = 6, faces (F) = 12 and edges (E) = 16
Step-by-step explanation:
A polyhedron is a three-dimensional shape with straight edges and flat faces and sharp corners.The point where the faces of a polyhedron meet each other is known as the edge while the corners of the polyhedron is known as the vertices.
Euler formula gives the relationship between the number of vertices (V), faces (F) and edges (E) of a polyhedron. This formula is given as:
F + V - E = 2.
Given that:
E - V = 10, Therefore E = V + 10
F = 2 × V = 2V
Substituting into the Euler formula:
2V + V - (V + 10) = 2
2V + V - 10 - V = 2
2V = 12
V = 12/2 = 6
Therefore, E = V + 10 = 6 + 10 = 16
F = 2V = 2 × 6 = 12
Answer:
the answer would be c
Step-by-step explanation: Because the values inside of the parenthesis don't have the same variable, they cannot be combined. Using the 9 on the outside of the parenthesis you would multiply 9 by 3r, which gives you 27r, and 9 by -4 to create -36. The new equation would be 27r - 36, which is equivalent to the equation shown next to it.
The area will be half the product of the lengths of AB and CD.
|AB| = √((6-1)² +(-2-3)²) = 5√2
|CD| = √((5-2)² +(5-2)²) = 3√2
Area = (1/2)*(5√2)*(3√2) = (1/2)*(15*2) = 15
The appropriate choice is ...
D: 15 square units
20,000 = P ( 1 + 0.1 )^4
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25
Answer:
can you explain yourself more please