Calculating Area Green.Let x be the radius of the half circle.a = ½(8)a = 4 units.x = (4+b) units.Recall, x is the radius of the half circle.c²+4² = (4+b)²c² = 8b+b²c = √(8b+b²) units.d = 2cd = 2√(8b...
Calculating Area Red.Let x be the side length of the ascribed square.a = 2+3a = 5 units.b²+5² = x²b = √(x²-25) units.Calculating x.cosc = √(x²-25)/x --- (1).cosc = 3/x --- (2).Equating (1) and (2).√(...
Calculating Area Green.a = 4+6a = 10 units.a is the diameter of the ascribed half circle.b = ½(a)b = 5 units.b is the radius of the ascribed half circle.c = 5-4c = 1 unit.Let x be the radius of the i...
Calculating Shaded Blue Area.Let x be the radius of the inscribed circle.a = (12+x) units.a is the height of the ascribed triangle.b = (18+x) units.b is the base of the ascribed triangle.c = 12+18c =...
Calculating Area Red.a = 1+(161/9)+(10/9)a= 1+(171/9)a = 1+19a = 20 units.a is the diameter of the ascribed circle.b = ½(a)b = 10 units.b is the radius of the ascribed circle.Let x be the radius of t...
Sir Mike Ambrose is the author of the question.Shaded area coordinates are;Coordinate X is;X(½, (9/4))Coordinate Y is;Y((-3/2), (17/4))Coordinate Z is;Z((5/2), (33/4))Therefore shaded area exactly in...
Calculating Area of the yellow Hexagon.Let x be the side length of the hexagon.a²+3² = x²a = √(x²-9) cm.b² = 2x²-2x²cos120b = √(3x²)b = √(3)x cm.It implies;Calculating x.sinc = √(x²-9)/x --- (1).sinc...
Calculating the blue shaded area.Let x be the radius of the half circle.a = (x-2) cm.Calculating x.It implies;x² = 4²+(x-2)²x² = 16+x²-4x+44x = 20x = 5 cm.Again, x is the radius of the half circle.O...
Sir Mike Ambrose is the author of the question.a² = 10²+16²-2*10*16cos120a = 2√(129) units.Where a is length AC.(3√(129)/sin120) = (16/sinb)b = 37.58908946897°c = 90-bc = 52.41091053103° d = 60-bd =...
Calculating x.8 = 2³It implies;2^(3x)+2^(x) =130Let 2^(x) = p.p³+p = 130130 = 1*2*5*13It implies;p = 5Calculating x.Recall.p = 2^(x) And p = 55 = 2^(x)log5 = xlog2x = (log5)/(log2)x = 2.32192809489
