A. Obtuse and you can remember this because obtuse means not sharp, which is like a right angle.
Their are 6 equilateral triangles in a regular hexagon:
The area of one triangle = (x²√3)/4, then:
1st answer: The area of the hexagon base: is 6 TIMES the area of one equilateral triangle [or, needed for 2nd, question, TOT AREA:(6x²√3)/4] = (3x²√3)/2] unit²
2nd answer: :
Volume of pyramid: (base area)(height)/3
Volume of pyramid: (3x²√3).(3x)/3 (because height = 3x, given)
Then Volume of pyramid= 3x³√3 unit³.
3 is the answer for the second question
and 6 for the 1st
We have a piecewise function.
Therefore, to find the function, we must evaluate each domain separately.
We have then:
For
:
The function for this domain is:

For
:
The function for this domain is:

Where,

Substituting:

For
:
The function for this domain is:
2.291827331. That is what I got.
Answer:
1/32768
Step-by-step explanation:
We have 5 digit pin code plots and 8 choices per slot. Because repetition is allowed (1 digit can have 8 choices) so we multiply out the number of choices per slot
. Hence:
8*8*8*8*8 =
So there are 32768 different combination.
But correct guess on the first try is just only 1 time, so its' probability:
1/32768