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stealth61 [152]
3 years ago
6

a. For each of the Five Platonic Solids, count the number V of vertices, the number F of faces, and the number E of edges. Check

that in each case V - E + F = 2
Mathematics
1 answer:
natita [175]3 years ago
8 0

Answer:

1. The tetrahedron has 4 vertices, 6 edges and 4 faces. Then V-E+F=4-6+4=2

2. The cube has 8 vertices, 12 edges and 6 faces. Then V-E+F=8-12+6=2

3. The octahedron has 6 vertices, 12 edges and 8 faces. Then V-E+F=6-12+8=2

4. The icosahedron has 12 vertices, 30 edges and 20 faces. Then V-E+F=12-30+20=2

5. The dodecahedron has 20 vertices, 30 edges and 12 faces. Then V-E+F=20-30+12=2.

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The sum of two numbers is 128. Their difference is 114. Find the numbers
gregori [183]

Answer:

14?

Step-by-step explanation:

8 0
3 years ago
Help with the second question ASAP PLEASEEE
Setler [38]

Answer:

5:3

Step-by-step explanation:

The ratio is diamonds to smiles, so 5(the number of diamonds) to 3(the number of smiles) or 5:3

7 0
3 years ago
Find the area of the shaded portion in the equilateral triangle with sides 6.
VashaNatasha [74]
First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h

We can find the height with the Pythagorean theorem by splitting the triangle in half. 
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27

Then we can find the area:
A=1/2*6*√27
A=3√27   or   =9√3   or 15.59

Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.

Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71

So three of these regions would have an area of 14.14

We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45

Hope this helps!


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3 0
3 years ago
6. A wall mosaic is being designed. The tiles for the wall make a rectangular grid
saw5 [17]

Answer:

m^8

Step-by-step explanation:

5 0
3 years ago
Which of the following shows no correlation between the independent and dependent variables?
jeka94
D doesn’t show a positive or negative correlation. D is the best answer choice.
3 0
3 years ago
Read 2 more answers
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