NUmbers that sum to 8
0 and 8
1 and 7
2 and 6
3 and 5
4 and 4
The first number should be smaller than the next so trying them we have
008 (doesn't work bc it 8 which doesn't have a middle number of 0)
107 (107*3=321-16=305) doesn't equal 701
206 (206*3=318-16=602) works
So the original number was 206.
Say the square side length is 16. The right picture would have an area of 16pi.
The area of the whole rhombus would be 64.
IF we made a square right around the star, we get a square with 4 quarter circles on each corner.
The square area would be 64 and the 4 quarter circles are just on the whole circle with a radius of 4, with an area of 16pi.
So the area of the cross would be 64-16pi.
Subtracting that from the original rhombus we get 64-(64-16pi) or 16pi.
They are the same.
Since there are 3 vowels, we don't have to choose those.
There are 5 consonants, and we have to choose 2. For now, the order doesn't matter, so 5*4/2=10 ways to choose.
So we have to order five distinct items.
There are 5 possibilities for the first letter of the word, 4 for the next, 3 for the middle, 2 for the second-to-last, and only 1 remaining for the last slot.
10 ways to choose the letters times 120 ways to order those letters =1200 possible words.