geometry...?

Question

1.If a convex polyhedron has 12 edges and 8 faces, then how many vertices does it have? if you could give me the formula for this one that would be all I need!

2.Convert the binary number 111 to base 10.

3. If A = 0 and B = 1, then (NOT A) OR B =

4.What is the taxidistance between (4, 7) and (17, 2)?


A.
30

B.
18

C.
13

D.
8

5.Which dimensions are closest to those of a golden rectangle?


A.
0.5 × 1.6

B.
1 × 3.24

C.
7 × 11.33

D.
17 × 25.5

Thankyou to all who answer...when answering please make sure what ever answer you give you are positive of your answer please and thankyou! Please help...

Answer 1

1. I'm not sure on this one. I can picture the shape in my mind. It's not a cube. A cube has only six sides. But I think the answer is 10. Just not sure how to prove this. Sorry...

2. 111 (base2) = 1*2² + 1*2 + 1 = 7 (base10)

3. Since A = 0, NOT A = 1. (NOT A) OR B = 1 OR 1 = 1

4. 4 to 17 = 13, and 7 to 2 = 5, so the answer is 13 + 5 = 18

5. C. 7 x 11.33. The ratio of a "Golden Rectangle" is approximately 1 to 1.618.

Answer 2

Vertices + Faces = Edges +2

1*2^2 + 1*2^1 + 1 *2^0 = 4 +2 +1= 7

It has to be 1

13 units to the right and 5 units up = 18 units

The Golden Ratio is approximatly 1.618033.
11.33/7 = 1..61857, so that's your answer.

Answer 3

Prob 2: 1 + 2 + 4 = 7 in decimal
Prob 3: If A and B are the only elements in the set then ~A is B since P(A) = 0 and P(B) = 1. However it doesn't make sense that P(~A) + P(B) = P(B) + P(B) = 2.0 since no probability can be > 100%. The answer is 1.0.