Answer:
36√3 + 144
Step-by-step explanation:
Given that,
base of the pyramid is an equilateral triangle with sides = 12
Formula to calculate total surface area of pyramid
<h3>
[Base Area] + 1/2 × Perimeter × [Slant Length]</h3>
Base Area
1/2 (height) (base)
1/2 (√12²-6²)(12)
6(6√3)
36√3
perimeter of base
sum of all sides = 12 + 12+ 12
= 36
slant height = √10²-6²
= 8
put all these values in the formula above
36√3 + 1/2(36)(8)
36√3 + 144
Total area for the pyramid with the equilateral base =
36√3 + 144
<span>This is a matter of knowing the formulas involving the binomial distribution:
Mean = n*p = 125*0.46 = 57.5
Variance = n*p*(1-p) = 125*0.46*(1-0.46) = 125*0.46*0.54 = 31.05
Standard Deviation = sqrt(Variance) = sqrt(31.05) = 5.572252686</span>
Answer:
1/2(i think)
Step-by-step explanation:
since a coin has two sides
the denominator would be 2
since the coin has 1 chance of it landing on heads and 1 chance of it landing on 2
the probability the coin will land on heads is 1/2
hope this helps!
The hypotenuse of the triangle is 2x
the one opposite of 30 is x
and the one opposite of 60 is sqrt(3)*x
since x=11, the side is 11
