11-2 = (x²/4)
x = √(36)
x = 6.
Calculating Ax, let it be a.
(Area Under the curve at x = a and x = 6)(1/(6-a)) = (19/3)
(30-(a³/12)-2a) = (114-19a)/3
360-a³-24a = 456-76a
a³-52a+96 =...
tan30 = 6/a
a = 6√(3) cm.
a = 10.39230484541 cm.
sin30 = 6/b
b = 12 cm.
cos15 = c/12
c = (3√(6)+3√(2)) cm.
c = 11.59110991547 cm.
d = 11.59110991547²+10.39230484541²-2*11.59110991547*10.392304845...
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Let the green and purple color regular triangle side be a.
b = √(4²+2²)
b = 2√(5) units.
c = 0.5b
c = √(5) units.
d = √(8²+4²)
d = 4√(5) units.
e = √(a²+(a/2)²)
e = √(5a²/4)
e = ½(√(5)a)
Calcul...
Notice;
The regular hexagon side length is 4 units.
a² = 8-8cos120
a = √(12)
a = 2√(3) units.
sin60 = b/2
b = √(3) units.
c = a+b
c = 3√(3) units.
sin30 = d/2
d = 1 unit.
e = 4+4+1
e = 9 units...
Sir Mike Ambrose is the author of the question.
Let AC = 1 unit.
Area Yellow is;
Area triangle with height ⅕(4√(5)) units and base ⅕(2√(5)) units - Area triangle with height 1 unit and base ½ u...
Sir Mike Ambrose is the author of the question.
Let the square side be a.
calculating a.
b = (45-atan½)
c = ½(√(2)a) units.
d = ½(√(2)a)sin(45-atan½)
c = ½(√(2)a)cos(45-atan½)
It implies;
½*½(√(2)a...
Let the side length of the regular nonagon be 1 unit.
a = ⅑(180(9-2))
a = ⅑(180*7)
a = 140°
Area Nonagon is;
0.5*9*0.5tan(70)
= ¼(9tan70)
= 6.18182419377 square units.
b = 540-3*140
b = 120°
c...
Sir Mike Ambrose is the author of the question.
Let the side length of the five inscribed congruent regular hexagon be 1 unit.
It implies;
The ascribed regular hexagon is;
2+(⅔)
= ⅓(8) unit...
a² = 6²+2²
a =√(40)
a = 2√(10) units.
b = ½(a)
b = √(10) units.
c² = 6²+5²
c = √(61) units.
d = (atan(5/6)-atan(1/3))°
tan(atan(5/6)-atan(1/3)) = e/√(10)
e = 1.23741299746 units.
cos(atan(5/6)-...
