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:
0-2 x-intercepts and 0-1 y-intercepts
Step-by-step explanation:
A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.
A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.
The equation y=mx+b
Slope= m
y-intercept= b
y= 2x+0 so y=2x
Answer:
d. 50°
Step-by-step explanation:
Since you know one angle and its opposite side, use the law of sines.
sin 36°/11.9 = sin D/15.6
sin D = 15.6 × sin 36° / 11.9
sin D = =0.7705
D = sin^-1 0.7705
D = 50.4°