Question

Please help me with any of the questions

Answer 1

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 (√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.

(√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.