Answer:
2√3
Step-by-step explanation:
You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).
The magnitude of R is 2√3.
_____
In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...
Sin = Opposite/Hypotenuse
sin(30°) = √3/R
R = √3/sin(30°) = √3/(1/2) = 2√3
Of course, doing this on your calculator will give a numerical answer, which you may not want.
Answer:
(a)
(b)
i.
ii.
iii.
Step-by-step explanation:
Given
Solving (a): List all possible elements using set-roster notation.
The possible elements are:
And the number of elements are:
Solving (bi) Exactly 1 girl
From the list of possible elements, we have:
And the number of the list is;
The probability is calculated as;
Solving (bi) At least 2 are girls
From the list of possible elements, we have:
And the number of the list is;
The probability is calculated as;
Solving (biii) No girl
From the list of possible elements, we have:
And the number of the list is;
The probability is calculated as;