The gemstone has 22 edges.
We use Euler's formula on this:
F + V - E = 2
Substituting our information, we have:
14 + 10 - E = 2
Combining like terms,
24 - E = 2
Subtract 24 from both sides:
24 - E - 24 = 2 - 24
-E = -22
Divide both sides by -1:
-E/-1 = -22/-1
E = 22
8n-28
4(2n-7)
you cant factor this. There are no powers
Answer:
3
Step-by-step explanation:
look at the sides
Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
