If the number of the edges of the polyhedron is 14 and the vertices are 9. Then the number of the faces of the polyhedron is 7.
<h3>What is a
polyhedron?</h3>
A polyhedron is a solid made composed of polygons in three dimensions. It has vertices, flat faces, and straight edges.
We know the Euler's formula
F + V - E = 2,
where, F = number of faces, V = number of vertices, and E = number of edges
Edges: 14
Vertices: 9
F + 9 - 14 = 2
F = 14 + 2 - 9
F = 16 - 9
F = 7
Then the number of the faces of the polyhedron is 7.
More about the polyhedron link is given below.
brainly.com/question/2321456
#SPJ1
Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
Surface area of a pyramid =
area of base + area of triangular faces
Since it's a square based pyramid
It's surface area is
area of base + 4( area of one triangular face)
Since the square has equal sides
<u>For square base </u>
Area of a square = l²
where l is the length
From the question l = 5
So we have
Area of square base = 5² = 25ft²
<u>For one of the triangular face</u>
Area of a triangle = ½ × base × height
base = 5
height = 6
Area = ½ × 5 × 6 = 15ft²
So the surface area of the pyramid is
25 + 4(15)
= 25 + 60
We have the final answer as
<h3>Surface area = 85 ft²</h3>
Hope this helps you
Answer:
Absolute Minimum: (3,−29)
Step-by-step explanation:
Starting more simply, if we wanted to know how many students like pink in general, that's 68/100. We could do that for each single category and the fractions would add together to equal 1. Now say we wanted to know something about that 68/100 people. That 68 is our new 100%, or another way of looking at it is if we take however many people like pink and don't like black and those that do like black, they will equal 68/68.
The number of people that like pink but don't like black is 41/68 and those that like pink and black are 27/68. 27+41=68 For the question of your problem it is asking about those that do not like pink which you can tell from the table or use from my saying 68/100 like pink is 32. Now you can split that into those that do or don't like black, and the two results will equal 32/32.
Answer:
Step-by-step explanation:
1.) Apply the distributive law
5x + 5 * 2
2.) Multiply the numbers
5 * 2 = 10 is equivalent to 5x + 10
3.) Group like terms
5x - 3 + 10
4.) Add/subtract the numbers
-3 + 10 = 7 is equivalent to 5x + 7
