Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3236905

Sir Mike Ambrose is the author of the question. Calculating Area Orange. Radius of the circle, r is; (5-r)²=18-18cos(180-2atan(4/3)) (5-r)²=12.96 5-r=√(12.96) 5-r=3.6 Therefore; r = 1.4 cm. Area orange is; Area sector with radius 1.4 cm and angle atan(4/3)° - Area triangle with two lengths 1.4 cm and 1.13836187945 cm, and angle ½(atan(4/3))°, the angle they form. = 1.4²π(atan(4/3))/360 - ½(1.4*1.13836187945)sin(½(atan(4/3))) = 0.90874931364 - 0.3563636363...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3236887

Sir Mike Ambrose is the author of the question. Calculating Area yellow ÷ Area purple. Let the single side length of the regular nonagon be 2 units. Therefore; Area purple is; Area triangle with two equal length 2 units each and angle 140°, the angle they form + Area rectangle with length √(3) units and width 1 unit + Area rectangle with length √(8-8cos140) units and width √(3) units. = ½(4sin140)+(1*√(3))+(√(3)*√(8-8cos140)) = 9.52800747773 square units. Area yellow is;...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3236882

Sir Mike Ambrose is the author of the question. Calculating exactly, hatched area ÷ orange area. Let the ascribed square side length be 2 units. Therefore, r, radius of the inscribed half circle is 1 unit. a = (b+1) units. b is the height of the inscribed orange area. tanc = 2/1 c = atan(2)° d = 180-2c d = 180-2atan(2) d = 2atan(½)° Calculating b. cosd = 1/(b+1) cos(2atan(½)) = 1/(b+1) ⅗ = 1/(b+1) 3b+3 = 5 b = ⅔ units. Again, b is the height of the inscribed o...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3236878

Sir Mike Ambrose is the author of the question. Showing that brown area ÷ smaller octagon area = a/b. Let the side length of the smaller regular octagon be 1 units. a = ⅛*180(8-2) a = 135° a is the single interior angle of the regular octagons. 2b² = 1² b² = ½ b = ½√(2) units. c = 1+2b c = 1+2*½√(2) c = (1+√(2)) units. c is the height of the smaller regular octagon. Area smaller regular octagon is; (2(½(1+(1+√(2))))*½√(2))+(1*(1+√(2))) = (2+√(2))*½√(2)+(1+√(2)...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3235654

Sir Mike Ambrose is the author of the question. Calculating the exact hatched area. Let x be the radius of the inscribed circle. 2x² = a² a = √(2)x cm. b = x+a b = (x+√(2)x) cm. c = 16+b c = (16+x+√(2)x) cm. c is the diagonal of the ascribed square. Again. c² = 2(16)² c = 16√(2) cm. Therefore, calculating x. Equating the both c. (16+x+√(2)x) = 16√(2) (1+√(2))x = (16√(2)-16) x = (48-32√(2)) cm. x = 16(3-2√(2)) cm. x = 2.74516600406 cm. Again, x is the radi...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3235646

Calculating Shaded Area (Trapezoid). It implies; ½ ~ 1 ½√(3) ~ x. Where x is the base of the blue shaded trapezium. Cross multiply. ½(x) = ½(√(3)) Therefore x = √(3) units. Therefore area blue (area trapezium) is; ½*½(½√(3)+√(3)) = ¼*½(3√(3)) = ⅜√(3) square units. = 0.64951905284 square units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3235639

Calculating Length x. a = 180-45 a = 135° Length x is; x² = (½*5√(2))²+(½*7)²-(½*5√(2)*½*7*2cos135 x = √(½*25+¼*49-½*35√(2)cos135) x = √((50+49-70√(2)cos135)/4) x = ½√(99-70√(2)cos135) x = ½√(169) x = ½(13) x = 6.5 units.

Great Mathematician John Horton Conway

https://onlineedumath.com/update/great-mathematician-john-horton-conway/3233202

great-mathematician-john-horton-conway_1757133230UzxSoi.jpeg

great-mathematician-john-horton-conway_1757133322V9EET6.jpeg

great-mathematician-john-horton-conway_1757133395zwuZhN.jpeg

John Horton Conway (b1937) The Liverpudlian is best known for the serious maths that has come from his analyses of games and puzzles. In 1970, he came up with the rules for the Game of Life, a game in which you see how patterns of cells evolve in a grid. Early computer scientists adored playing Life, earning Conway star status. He has made important contributions to many branches of pure maths, such as group theory, number theory and geometry and, with collaborators, has also come up with...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3233059

Kindly move the question right/left one time to review the framework/analysis. Thank you nicely. Calculating area circle. Let the radius of the circle be r. r²=2²+(r-1)² r²=4+r²-2r+1 r = 2.5 units. Again, r is the radius of the circle. Therefore; Area circle is; π(2.5)² = 6.25π square units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3233055

Calculating x, radius of the big inscribed green circle. Radius, r of the bigger inscribed red circle is; 2(1-r)²=(2r)² r²+2r-1=0 r = (√(2)-1) units. Therefore radius, x of the big inscribed green circle is; x+2(√(2)-1)=1 x = 1 - 2(√(2)-1) x = 1-2√(2)+2 x = (3-2√(2)) units. x = 0.17157287525 units.

You Searched for "update"

585 result found.

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Great Mathematician John Horton Conway

Mathematics Question and Solution

Mathematics Question and Solution

OnlineEdumath

Socials

Facebook Page

Quick Links

Reach Us

Safety and Abuse Reporting

Thanks for being awesome!

Are you sure you want to report abuse against this website?

Search

You Searched for "update"

585 result found.

Subscribe to our mailing list for latest updates.

Safety and Abuse Reporting

Thanks for being awesome!

Are you sure you want to report abuse against this website?