The number of handshakes is the number of ways 6 objects can be selected 2 at a time.
.. C(6,2) = 6·5/(2·1) = 15
The appropriate choice is
... C) 15
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Consider that each person can shake hands with 5 others. That's a total of 6*5 = 30 handshakes, but it counts both A shaking with B and B shaking with A. If each pair of persons only shakes hands once, the number of handshakes is 30/2 = 15.
Formula for area of trapezoid is (base a + base b)*h/2
A = (a+b)*h/2
1833 = (52+42)*h/2
2*1833=94h
3666=94h
h = 3666/94 = 39
the height of trapezoid is equal 39 meters
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Answer:
128 square feet
Step-by-step explanation:
Let the perimeter of the rectangular garden be expressed as 2(L+W)
L = length of the garden
W = width of the garden
If the length of the garden is twice its width then L = 2W; W = L/2
P = 2(L+L/2)
Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)
Substituting in the formula above:
32+L = 2(L+L/2)
32+L = 2L+L
32 = 2L
L = 16 feet
Since L = 2W
W = L/2 = 16/2
Width = 8 feet
Area of the garden = Length × Width
Area of the garden = 16×8
Area of the garden = 128 square feet
