Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1810280

a² = 15²+12²-2*12*15cos120 a = 23.43074902772 cm. Where a is the side length of the equilateral triangle ABC. (23.43074902772/sin120) = (12/sinb) b = 26.32950349168° c = 60-b c = 33.67049650832° d² = 15²+15²-2*15*15cos120 d = 25.98076211353 cm. e = atan(7.5/25.98076211353) e = 16.10211375199° f = 90-e f = 73.89788624801° g = 180-f-c g = 72.43161724367° (15/sin72.43161724367) = (h/sin73.89788624801) h = 15.11661227595 cm. i = a-h i = 8.31413675177 cm. Let the radius of the green ins...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1809528

Blue area is; ½(2.5)²π - (180-2atan(3/4))π(2²)/360 + 0.5*2²sin(180-2atan(3/4)) - (180-2atan(4/3))π(1.5)²/360 + 0.5*1.5²sin(180-2atan(4/3)) + ½(4*3) - 2atan(4/3)π(1.5²)/360 + 0.5(1.5²)sin(2atan(4/3)) - 2atan(3/4)π(2²)/360 + 0.5(2²)sin(2atan(3/4)) = 9.81747704247-3.70918087201+1.92-1.44787749478+1.08+6-2.0864142405+1.08-2.57400443517+1.92 = 12 Area Blue = 12 square units.

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1809129

Blue area is; 8(area quarter circle with radius 4 cm - area triangle with height and base 4 cm respectively - area quarter circle with radius 2 cm + area triangle with height and base 2 cm respectively) 8(¼(4²)π-½(4²)-¼(2²)π+½(2²)) = 8(4π-8-π+2) = 8(3π-6) = 24(π-2) cm²

We are smart and clever!

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Absolutely clever is not enough. Online Edumath Educators are Resilient, Hardworking and Productive, making teaching and learning Mathematics fun for learners, helping learners experience the beauty of Mathematics is our set responsibility. Communicate us to mentor/coach your child/children love Mathematics, and become a better Mathematician. We are smart and clever!

Surprise Lunch

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Short Story written by: Gisselle “It´s lunch time! It´s time to eat”, says the teacher. Martha has bread with jam, Lily has soup, Anna, bread with cheese and Charlie, chicken and chips. But Andrew has nothing, nothing to eat, Andrew has nothing, no food. Mum forgot his lunch, Andrew is not too nice, Anna, Charly and Lily, feel sorry for him. Martha gives him jam, Lily gives him soup and Charlie gives him chips. Andrew is not angry, Andrew is not sad, That´s the best lunch...

Poor Kid, Rich Kid

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Short story for kids. Charlie was an eight year old boy who was obedient, humble and dedicated. His father was a carpenter and his mother was a housewife and they barely had any money to eat because his father barely had any work in the village. Charlie went to school in the village every day. He was a very smart kid, always getting high results. He was top of his class even if he only studied a little. Michael was also eight years old. He was the son of a landowner that owned property at abou...

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1808093

Let the side of the regular pentagon be 1 unit. Calculating Area Red. a² = 1²+1²-2*1*1cos108 a = 1.61803398875 units. b = 108-36-60 b = 12° (c/sin12) = (1.61803398875/sin96) c = 0.33826121272 unit. d = 1-c d = 0.66173878728 unit. e = 96-60 e = 36° tan36 = f/0.66173878728 f = 0.48078137139 unit. Area Red is; ½(df) = 0.5*0.48078137139*0.66173878728 = 0.15907584083 square units. Calculating Area Lilac. sin36 = 0.48078137139/g g = 0.81795412443 units. h = 1-f h = 0.51921862861 unit....

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1807684

a² = 10²+16²-2*10*16cos120 a = 2√(129) units. Where a is length AC. (3√(129)/sin120) = (16/sinb) b = 37.58908946897° c = 90-b c = 52.41091053103° d = 60-b d = 22.41091053103° e = 90-d e = 67.58908946897° f = 90-60 f = 30° cos37.58908946897 = g/10 g = 7.92405815693 units. i = 30+37.58908946897 i = 67.58908946897° tan67.58908946897 = j/7.92405815693 j = 19.2148198619 units. Where j is the radius of the arc. sin67.58908946897 = 19.2148198619/k k = 20.78460969082 units. l² = (2√(129)...

Forever Friends

https://onlineedumath.websites.co.in/update/forever-friends/1807677

Short Story for Children written by: Daniel Sanchez. John was a very nice and educated child with all children from school, and they also liked him. One day, a new student came to his class, was called Mathew, he was a bit shy at the beginning, but made some friends as time passed. John noticed later that Mathew was a very good student, so began to hang out with him at break time, in class, to do their homework, even during the exams. They were a good team, and after some time, became best fri...

Mathematics Question and Solution

https://onlineedumath.websites.co.in/update/mathematics-question-and-solution/1806766

sin30 = a/12 a = 6 cm. Where a = AF. AF = EF = 6cm. tan30 = b/12 b = 12tan30 b = 4√(3) cm. Where b = AG. Notice; AG = EG = 4√(3) cm. c = AB-AG c = 12-4√(3) c = (12-4√(3)) cm. Where c = BG. d² = (4√(3))²-6² d = √(48-36) d = √(12) d = 2√(3) cm. Where d = FG. e = atan(6/(2√(3)) e = atan(3/√(3)) e = 60° Where e = angle EGF. Angle BGH = 180-60-60 Angle BGH = 60° It implies; cos60 = BG/f ½ = (12-4√(3))/f f = (24-8√(3)) cm. Where f = GH. Therefore, Length EH is; GH - EG = (24-8√(3)) - 4...

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Mathematics Question and Solution

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Mathematics Question and Solution

Mathematics Question and Solution

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