1.) There are 6 numbers you can roll on a standard dice: 1, 2, 3, 4, 5, 6
There are 3 odd and 3 even. Keep in mind that an odd plus an odd will always be even and an even plus an even will always equal an even. Only if you add an odd and an even will you get an odd.
The chances of getting an even sum are much higher which is why you should choose even.
3.) The formula for finding the area of an equilateral triangle is (<span>√3)/4(a^2) where a is just a side length.
Because the perimeter is 12 and each side of an equilateral triangle is equal, we can divide 12 by 3 sides and get each side is 4. Plug in 4 for a.
</span>(√3)/4(4^2) = (√3)/4(16)
Because (√3)/4 = (1 x √3)/4,
(√3)/4(16) is equal to (16 x √3)/4
You have to divide (16 x √3) by 4. 16/4 = 4, and you only need to divide once to. We get 4√3 as the final answer.
6 goes into both 42 and 108 (9x12 so you are working with equal measurements) and you get 7/18
First you would find that not all the units are the same in this problem, so you convert yards to feet. So 4 yards = 12 feet.
The proportion you would make would be x/12 = 2/1