Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1823863

a = atan(½)° b² = 2(10)² b = 10√(2) units. c = (45-atan(½))° cos(atan(½)) = d/20 d = 17.88854382 units. Area x is; 0.5*17.88854382*10√(2)sin(45-atan(0.5)) = 40 square units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1822239

Let the side length of the regular heptagon be 1 unit. a = ⅐(180*5) a = ⅐(900)° b = 0.5(360-2(900/7)) b = ⅐(360)° c = 2cos(360/7)+1 c = 2.24697960372 units. d² = 2-2cos(90/7) d = 1.8019377358 units. Where d is the radius of the arc. Area Orange is; 0.5*2.24697960372*1sin(360/7)+0.5*sin(900/7) = 1.26929543856 square units. Let e be alpha. Calculating e. e = 0.5((900/7)-(360/7)) e = ⅐(270)° (1.8019377358/sin(270/7)) = (2.24697960372/sinf) f = 128.96966294132° g = 180-f-e g = 12.45890...

Tips and Tricks to Learn Mathematics Easily By: Global Indian International School

https://onlineedumath.com/update/tips-and-tricks-to-learn-mathematics-easily-by-global-indian-international-school/1820607

tips-and-tricks-to-learn-mathematics-easily-by-global-indian-international-school_16843680569zDrBP.jpeg

1. Practice Makes Everyone Better Let's not say perfect, let's say the more you practice Maths, the greater excellence you achieve. It is not a parrot memory subject. You will need to solve questions of a varied variety and type to practice. In fact, even half an hour each day is sufficient to be excellent at Maths. Practice will help you brush up on your skills. It is recommended that you just don't stick to one book. 2. Online is the Way to Go to Be Good at Maths You can download questions...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1820588

18² = 14²+16²-2*14*16cosa 448cosa = 14²+16²-18² a = acos((14²+16²-18²)/448) a = 73.39845040098° (18/sin73.39845040098) = (14/sinb) b = 48.18968510422° c = 180-48.18968510422-73.39845040098 c = 58.4118644948° cotd = cota+cotb+cotc cotd = 1.80748828181 d = acot(1.80748828181) d = 28.95373454979° e = 58.4118644948-d e = 29.45812994501° f = 180-28.95373454979-73.39845040098 f = 77.64781504923° (14/sin77.64781504923) = (g/sin73.39845040098) g = 13.73434221224 units. It implies; Area Blue...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1818740

Let AB be 5 units. Radius, r of the inscribed circle is; 5*(2/5) r = 2 units. a = ⅛(180*6) a = 135° 2b² = 25 b = ½(5√(2)) units. c = 180-0.5(135)-45 c = 67.5° sin22.5 = ½(5√(2))/d d = 9.23879532511 units. Where d is the side length of the regular triangle (purple area). Area purple is; 0.5*9.23879532511*9.23879532511sin60 = 36.95994598698 square units. Calculating Area Shaded. e = 360-135-45-67.5-60 e = 52.5° f² = 50-50cos135 f = 9.23879532511 units. g = 52.5+0.5(45) g = 75° si...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1817730

Let the regular pentagon side be 1 unit. sin72 = a/1 a = 0.9510565163 unit. Let the side of the two inscribed congruent squares be b. c = ½(b) unit. b+½(b) = 0.9510565163 b = 0.63403767753 unit. Area Yellow is; (0.63403767753)² = 0.40200377653 square units. Calculating Area Blue. d = ½(1-0.63403767753) d = 0.18298116124 unit. e² = 2-2cos108 e = 1.61803398875 units. f = ½(1.61803398875-0.63403767753) f = 0.49199815561 unit. Area Blue is; 0.5(0.49199815561+0.18298116124)0.9510565163...

Thinking Like a Mathematician

https://onlineedumath.com/update/thinking-like-a-mathematician/1815842

1. Question everything When looking at something that is said to be true, see if you can prove it. If someone tells you something is true, ask them to prove it to you. Trying to prove something to yourself will help you exercise your math brain and start thinking about all math problems in this way. 2. Study logic. Logic is the foundation of a mathematical argument and necessary to developing a proper proof. There are self-study guides online or textbooks you can purchase to study logic...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1815595

m⁶(m³+1) = 36 Let p = m³ Therefore; m⁶ = m³*m³ = p*p = p² It implies; p²(p+1) = 36 p³+p² = 36 Using Substitution Approach (Substituting prime factor of 36 only in the equation 'p³+p² = 36' to get p). The prime factors of 36 = 2 and 3. For p = 2 Therefore; 2³+2² ≠ 36 but 12, p ≠ 2 For p = 3 Therefore; 3³+3² = 36 It implies; p = 3 And p = m³ Therefore; m³ = 3 m = (3)^(⅓) Or m = crt(3) Checking accuracy. ((crt(3)))⁹+((crt(3)))⁶ = (3)^(9/3)+(3)^(6/3) = 3³+3² = 27+9...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1815229

Let the side of the regular hexagon which is equal the side of the square be 1 unit. a = ½(180-108) a = 36° tan36 = b/0.5 b = 0.363271264 unit. Area Blue is; 0.5*0.363271264*0.5 = 0.090817816 square units. c² = 2-2cos120 c = 1.73205080757 units. d = c-1 d = 0.73205080757 unit. sin54 = e/f f = 1.2360679775e It implies; f+e = d 1.2360679775e+e = 0.73205080757 e = 0.32738307374 unit. Where e is the radius of the inscribed circle. Area Lilac (inscribed circle) is; π(0.32738307374)² =...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1814261

Let the single side length of the two congruent inscribed regular pentagon be 1 unit. Area Green is; 0.5*5(1/(2tan(180/5))) = 1.72047740059 square units. Calculating Area Shaded. a = ⅕(180*3) = 108° Where a is the single interior angle of the congruent inscribed regular pentagon. b² = 2-2cos108 b = 1.61803398875 units. c = 1+b c = 2.61803398875 units. d² = 2.61803398875²+1²-2*1*2.61803398875cos72 d = 2.49721204096 units. Where d is the radius of the inscribed arc. 2.49721204096² = 1...

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Mathematics Question and Solution

Mathematics Question and Solution

Tips and Tricks to Learn Mathematics Easily By: Global Indian International School

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Thinking Like a Mathematician

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

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