Answer:
AKPOS/ACGF = 28√3 -48 ≈ 0.497423
Step-by-step explanation:
Let's assume the square is a unit square. Then the height of the triangle is ...
1 +(√3)/2 = h
and half the base of the triangle is ...
h/√3 = (√3)/3 +1/2 = b/2
The area of the triangle is the product of these:
A = (1/2)bh
= (2 +√3)/2 × (3 +2√3)/6
= (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12
So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...
(square area)/(triangle area) = 12/(12+7√3)
(square area)/(triangle area) = 28√3 -48
Answer:
x =3
Step-by-step explanation:
3(4x + 4) = 2(5x+9) - 12
First step is to open the brackets by multiplying. It becomes
3×4x + 3×4 = 2×5x + 2×9 -12
12x + 12 = 10x + 18 - 12
Collecting like terms on the right hand side and left hand side of the equation, it becomes
12x -10x = 18 -12 -12
2x = -6
Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes
2x = -6
x = -6/2 = -3
Checking
3(4×-3 + 4) = 2(5×-3+9) - 12
-24 = -12-12= -24
So x = -3
Answer:
-10/3 or -3.33
Step-by-step explanation:
substitute 0 for y
0 = 6x + 20
-20 = 6x + 20 - 20 subtract 20 on both sides
-20 = 6x divide by 6 on each side
-20/6 = 6x/6
x = -20/6 simplify
x = -10/3
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Answer:
A ) The money which Andre pay for the bike is $ 67.30
B ) The money which Andre pay for the bike is $ 76.92
Step-by-step explanation:
Given as :
The wholesale cost or market price of the bike = m.p = $ 96.15
A ) The discount percentage = 30 %
Let The selling price of the bike after discount = s.p
Now ,
Discount % = 
or, 30 % = 1 - 
or,
= 1 - 
Or,
= 1 - 
or,
= 
Or,
= 
Or, s. p =
× 96.15
∴ s.p = $ 67.305
So, He will pay $ 67.30
Hence The money which Andre pay for the bike is $ 67.30 . Answer
B ) If the bike is discounted by 20 % , let The selling price = s.p'
So,
Discount % = 
or, 20 % = 1 - 
or,
= 1 - 
Or,
= 1 - 
or,
= 
Or,
= 
Or, s. p' =
× 96.15
∴ s.p' = $ 76.92
So, He will pay $ 76.92
Hence The money which Andre pay for the bike is $ 76.92 . Answer