Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2081502

tan30 = 6/a a = 6√(3) units. b = (4+6√(3)) units. b is the square side. Let the side length of the inscribed regular hexagon be x (Red Length). Calculating x. c = (120-atan(⅔))° d = 120-c d = atan(⅔)° It implies; (x/sin(120-atan(⅔))) = (e/sin(atan(⅔))) e = (4x/(2+3√(3))) units. Therefore; e+2x = 12 (4x/(2+3√(3)))+2x = 12 (4x+4x+6√(3)x)/(2+3√(3)) = 12 8x+6√(3)x = (24+36√(3)) x(4+3√(3)) = (12+18√(3)) x = (12+18√(3))/(4+3√(3)) x = (6(19-6√(3))/11) units. x = (114-36√(3))/11 units. x = 4...

We are smart and clever!

https://onlineedumath.com/update/we-are-smart-and-clever/2081432

Our certified, experienced, resilient, productive and committed Math Educators will be glad to be at your service. We make teaching and learning Mathematics fun for learners, we expose the simplicity and beauty of Mathematics to our learners, and mentor them to appreciate and love Mathematics. Communicate us to mentor/educate you Mathematics better online at affordable tuition. We are smart and clever.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2081237

Let AB = 1 unit. Therefore; BC = 2AB = 2 units. It implies; AD = 4 units. Calculating Area Red. a² = 2²+1-2*2cos(180-(900/7)) a = 1.58304794386 units. (1.58304794386/sin(180-(900/7))) = (2/sinb) b = 180-81.02431846203 b = 98.97568153797° c = 108-98.97568153797 c = 9.02431846203° d = 180-(180-(900/7))-98.97568153797 d = 29.59574703346° e = 180-51.42857142857-29.59574703346 e = 98.97568153797° f = 180-98.97568153797-9.02431846203 f = 72° (1.58304794386/sin72) = (g/sin98.97568153797)...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2080370

Sir Mike Ambrose is the author of the question. Let the side length of the large square be 1 unit. 2a² = 1 a = ½√(2) unit. b² = ½+1-√(2)cos(360-195) b = 1.69293396321 units. (1.69293396321/sin(360-195)) = (1/sinc) c = 8.79397688726° d = 180-165-8.79397688726 d = 6.20602311274° e² = 1.69293396321²+1-2*1.69293396321cos(45+8.79397688726) e = 1.36602540379 units. (1.36602540379/sin(45+8.79397688726)) = (1/sinf) f = 36.20602311308° g = f-d g = 30° It implies; Area Gold is; Area triangle w...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2078804

Let the side length of the congruent yellow regular hexagon be 1 unit. a = 3sin30+1 a = 2.5 units. sin60 = b/1 b = 0.5√(3) units. c² = a²+b² c² = 2.5²+(0.5√(3))² c = √(7) units. c = 2.64575131106 units. c is the radius of the circle. d² = √(7)²-1 d = √(6) units. e = d-b e = √(6)-0.5√(3) e = 1.583464339 units. e is the height of the green inscribed triangle. Area Green Triangle is; Half the height, 1.583464339 units multiply the base, 1 unit of the triangle = 0.5*1.583464339*1 = 0.791732...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2078183

Sir Mike Ambrose is the author of the question. The vertices coordinates of area purple are; (6, 12) ((24/5), (36/5)) ((180/29), (168/29)) (12, (21/2)) Area purple is; ½((6, 12) ((24/5), (36/5)) ((180/29), (168/29)) (12, (21/2)) (6, 12)) = ½((-72/5)+(-2448/145)+(-126/29)+81) = ½((-2088-2448-630+11745)/145) = ½(6579/145) = 6579/290 square units. = 22.68620689655 square units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2076443

Calculating equation of the curve. y-6√(2) = a(x-6)² --- (1). Substituting x = 0, y = 0 to get a. It implies; -6√(2) = 36a a = -(1/(3√(2)) --- (2). Substituting (2) in (1). y-6√(2) = -(1/(3√(2))(x-6)² y = -(1/(3√(2))(x²-12x+36)+6√(2) y = -(x²/(3√(2))+2√(2)x-6√(2)+6√(2) y = -(x²/(3√(2))+2√(2)x --- (3). Where (3) is the equation of the curve. Calculating x, when y is ⅓(10√(2)). ⅓(10√(2)) = -(x²/(3√(2))+2√(2)x (x²/(3√(2))-2√(2)x+⅓(10√(2)) = 0 x²-12x+20 = 0 Resolving the quadratic equation. (...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2076002

Sir Mike Ambrose is the author of the question. Let the side of the ascribed regular pentagon be 2 units. (a) Calculating alpha. Let it be x. a² = 5-4cos108 a = 2.49721204096 units. (2.49721204096/sin108) = (2/sinb) b = 49.61382244056° c = 180-108-49.61382244056 c = 22.38617755944° d² = 2.49721204096²+1-2*2.49721204096cos22.38617755944 d = 1.61803398876 units. (1.61803398876/sin22.38617755944) = (2.49721204096/sine) e = 180-36 e = 144° It implies alpha, x is; 360-108-144-60 x = 48° (b)...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2075986

Let the side of the regular hexagon be 1 unit. (a/sin30) = (1/sin120) a = 0.57735026919 units. b² = 0.57735026919²+2²-2*2*0.57735026919cos30 b = 1.52752523165 units. The required angle, x is; (1.52752523165/sin30) = (0.57735026919/sinx) x = 10.89339464914°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2075968

Let the side of the regular hexagon be 2 units. a² = 5-4cos120 a = √(7) units. (√(7)/sin120) = (1/sinb) b = 19.10660535087° c = 60-2*19.10660535087 c = 21.78678929826° d = 0.5(120-2*19.10660535087) d = 40.89339464913° cos40.89339464913 = e/2 e = 1.51185789204 units. f = 60-40.89339464913 f = 19.10660535087° g² = 1.51185789204²+4²-2*1.51185789204*4cos19.10660535087 g = 2.61861468283 units. (2.61861468283/sin19.10660535087) = (4/sinh) h = 30° j = 180-30 j = 150° It implies, the requir...

You Searched for "post"

2242 result found.

Mathematics Question and Solution

We are smart and clever!

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

Mathematics Question and Solution

OnlineEdumath

Socials

Useful Tags

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 "post"

2242 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?