If there are 40 children aged twelve and under and x of them are under three years old, 40 - x aged three twelve years old. From the 92 people that where taken by the company on whale watching trips, 52 are over twelve years old. The equation that best show the total cost, C is
(40 - x)(36) + (52)(48) = C
Rearranging the equation gives,
x = 40 - ((C - 2496)/ 36)
A) 15/4 = 4/4+4/4+4/4+3/4= 3 3/4
B)9/2= 2/2+2/2+2/2+2/2+1/2= 4 1/2
c = 26/12 = 12/12 + 12/12 + 2/12 = 2 2/12
d) 20/6 = 6/6 + 6/6 + 6/6 + 2/6 = 3 2/6
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a
BC is the short leg of ∆ABC
Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3
For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3
CD = a = √3
AD = a√3 = 3
For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1
DB = a = 1
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