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Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1783376

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2^(x)*2⁵ = 2^(x)*2³ + 12 Let 2^(x) be p. 32p = 8p + 12 24p = 12 p = ½ And p = 2^(x) Therefore; ½ = 2^(x) 2^(-1) = 2^(x) x = -1

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1780853

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Let the regular octagon side be 2 units.   Area Octagon is; ½(8*2)*(2/(2tan(180/8))) = 8/(tan(180/8)) = 19.31370849898 square units. Calculating Area Red. a = ⅛(180*6) a = 135° Let the square side be b. Calculating b. (b/tan60)+(b/tan45)+b = 2 b = 2/(1+(1/tan60)+(1/tan45)) b = 0.77599076226 unit. Area Red is; b² = 0.77599076226² = 0.60216166311 square units. Therefore; Area Octagon ÷ Area Red to 2 decimal places is; 19.31370849898 ÷ 0.60216166311 = 32.07395900816   ≈ 32.07

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1778432

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Area purple is; Area square with side 10 cm - 3(area circle with radius 2.5 cm) - 8(area quarter circle with radius 1.5 cm - area triangle with height and base 1.5 cm respectfully) = (10*10) - 3(π*2.5²) - 8(¼(2.5²)π - ½(2.5²) = 100 - 18.75π - 8(1.5625π - 3.125) = 100 - 18.75π - 12.5π + 25 = 125 - 31.25π = (125-¼(125π)) = ¼(500-125π) square units.

The Toad and The Girl

https://onlineedumath.websites.co.in/update/the-toad-and-the-girl/1777877

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Short Story written by: Dani. Once upon a time… There was a girl called Lucy, who lived in a very small town. She had always wanted to have a pet, but her parents didn't want her to have one because they said it was a big responsibility. The girl was very sad, and her parents hated to see her like that. They felt great empathy for Lucy and so decided to buy her a pet, but unfortunately they didn't have enough money. That afternoon, the girl went out to the park and saw a little toad, she liked...

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1777221

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Let the radius of the large circle be 1 unit. Diameter of the large circle = 2 units. sin60 = 2/a a = ⅓(4√(3)) units. Where a is the side length of triangle ABC. b² = 2-2cos b = √(3) units. c = a-b c = ⅓(√(3)) units. (d/sin50) = (4√(3)/(3sin100)) d = 1.79639514045 units. e² = (⅓(2√(3)))²+1² e = ⅓√(21) units. 1² = (⅓√(21))²+f²-2*⅓√(21)f cos(atan(3/(2√(3))-10) f² - 2.62161244054f + 1.33333333333 = 0  f = 1.93113 units. g² = 1.93119²+(⅓(4√(3)))²-2*1.93119(⅓(4√(3)))cos10 g = 0.5...

Pedestrian Mouse

https://onlineedumath.websites.co.in/update/pedestrian-mouse/1775132

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Short Story for Kids written by: Ulica Tizaber. Once upon a time, there was a mouse who was a mouse and a pedestrian. He was living on a farm, because he was a wood mouse, and sometimes he made trips to the city. As a mouse, he used to run all over the floor of the barn really fast, smelling everything that was similar to cheese. He was very happy being a mouse, but it also had disadvantages, because any time a cat pursued him, the mouse got so nervous that it walked everywhere, banging his he...

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1773845

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Radius of the semi circle is 5 units. Calculating r, radius of the inscribed circle. (5-r)² = 3²+r² 25-10r+r² = 9+r² 10r = 16 r = ⅕(8) units. a = 3-r a = ⅕(7) units. b² = 5²-a² b = ⅕(24) units. c = atan((8/5)/8) c = atan(⅕)° d = 2c d = 2atan(⅕)° tan(2tan(⅕)) = e/(5+(7/5)) e = ⅓(8) units. f = atan(12/5)° g = b-f g = (32/15) units. h² = 50-50cos(180-4atan(⅕)) h = (120/13) units. sin(2atan(⅕)) = (8/3)/i i = (104/15) units. j = h-i j = (448/195) units. k = atan(24/7)° l = (180-atan(24/7))° m = (18...

John, Josh and The Wild Animals

https://onlineedumath.websites.co.in/update/john-josh-and-the-wild-animals/1773322

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Short Story written by: Luis Muñoz (Spain). There was a country house in a beautiful valley. It was very big, beautiful, built with good taste, and full of details. The owner was a well off landowner called John. He was a person who had a good heart, loved animals, and he liked going hunting. He used to capture different living birds and put them into cages. He liked seeing the animals close-up, to take care of them and to protect them. Before capturing them, these wild animals lived in the va...

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1772669

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Let the two equal lengths be 1 unit. (a) Calculating Theta exactly. Let theta be x. Calculating x. x = ½(90-54) x = ½(36) x = 18° sin18 = a/1 a = 0.30901699437 unit. b = 90-18 b = 72° sin72 = c/1 c = 0.9510565163 unit. tan36 = 0.9510565163/d d = 1.30901699437 units. Area Blue is; 0.5(1.30901699437*0.9510565163) = 0.62247457122 square units. e = 270-54-96 e = 120° f = 360-120-72 f = 168° g² = 2-2cos168 g = 1.98904379074 units. h = ½(180-168) h = 6° (1.98904379074/sin54) = (i/sin24) i = 1 units....

Anna's Story

https://onlineedumath.websites.co.in/update/annas-story/1772244

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Short Story written by: Chris Morales. There was a girl called Anna, who was studying in Esmarth Vil, a primary school in the United States. She was the most hardworking girl at her school, her marks were higher than the others. She was the best, but nobody wanted to be her friend. They didn't want to play with her and teased her. One day, the teacher set an exam and a boy called Robert signed his exam using Ana´s name. So, when the teacher returned all the exams, everybody was shocked. Ann...
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