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Inspirational Math Quotes

https://onlineedumath.com/update/inspirational-math-quotes/1840944

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1. “Pure mathematics is, in its way, the poetry of logical ideas.” —Albert Einstein 2. “Without mathematics, there is nothing you can do. Everything around you is mathematics. Everything around you is numbers.” —Shakuntala Devi 3. “Mathematics is the language with which God wrote the universe.” — Galileo 4. “Mathematics is the music of reason.” —James Joseph Sylvester 5. “Mathematics is the most beautiful and most powerful creation of the human spirit.” —Stefan Banach 6. “It is the duty...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1839124

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Let the radius of the inscribed circle be r. The square side is 8 cm. b = 8-r c = 2+r Therefore; (2+r)² = 2²+(8-r)² 4+4r+r² = 4+64-16r+r² 4r = 64-16r 20r = 64 5r = 16 r = (16/5) cm. Area circle is; πr² = 256π/25 cm² = 32.16990877276 cm²

We are smart and clever!

https://onlineedumath.com/update/we-are-smart-and-clever/1838909

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Our Certified, Experienced, Hardworking, Resilient and Productive Mathematics Educators will be happy to be at your service to educate your learner/learners become a lover of Mathematics, and a better Mathematician at affordable tuition. We make the necessary Mathematics Curriculum/Scheme of work a priority as we mentor learners experience the beauty of Mathematics. Be nice to communicate us; Call/WhatsApp: +2349076614992 +2348152827445 Email: [email protected] educators@online...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1838905

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The triangle's height is; 3x^(⅓) Triangle area = Triangle perimeter Therefore; ½(3x^(⅓)*4x^(⅓)) = 12x^(⅓) 6x^(⅔) = 12x^(⅓) x^(⅔) = 2x^(⅓) x^(⅓) = 2 Therefore; x = 8 units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1838111

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Considering similar plane shapes (triangle) ratios; 10 = y (16+x) = x Cross multiply and making y the subject of the formula. y = 10x/(16+x) ----- (1) And; 24+½(xy) = ½)10x) ----- (2) Substituting (1) in (2) It implies; 24 + ½(x(10x/(16+x))) = ½(10x) 24 +(5x²/(16+x)) = 5x 5x² = (5x-24)(16+x) 5x² = 80x+5x²-384-24x 384 = 56x x = 48/7 units. Therefore; y = 10(48/7)/(16+(48/7)) y = (480/7)/(160/7) y = 48/16 y = 3 units. It implies; Area yellow (...

We are smart and clever!

https://onlineedumath.com/update/we-are-smart-and-clever/1837654

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Our Certified, Experienced, Hardworking, Resilient and Productive Mathematics Educators will be happy to be at your service to educate your learner/learners become a lover of Mathematics, and a better Mathematician at affordable tuition. We make the necessary Mathematics Curriculum/Scheme of work a priority as we mentor learners experience the beauty of Mathematics. Be nice to communicate us; Call/WhatsApp: +2349076614992 +2348152827445 Email: [email protected] educators@onlin...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1837637

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Let AB = x PB = x/4 Therefore; a = x - (x/4) a = (3x/4) units. b² = x²+(3x/4)² b = √(x²+(3x/4)²) units. c = (x-4) units. It implies that; ½(x*(3x/4)) + ½(4*√(x²+(3x/4)²)) + ½(4*(x-4)) + (4*4) + ½((x/4)+4)*(x-4) = x² ⅛(3x²) + 2√(x²+(3x/4)²) + 2(x-4) + 16 + ½(¼(x+16))(x-4) = x² 2√(x²+(3x/4)²) + 2x + 8 + ⅛(x²+12x-64) = ⅛(5x²) 16√(x²+(3x/4)²)+16x+64+x²+12x-64 = 5x² 16√(x²+(3x/4)²)+28x = 4x² Dividing through by 4 4√(x²+(3x/4)²)+7x = x² 16(x²+(9x²/16)) = x⁴-14x³+49x² 16(25x²/16) = x⁴-1...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1836467

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a = 15-11.25  a = 3.75 m. b = atan(3/3.75)° c = 90-atan(3/3.75) c = 51.34019174591°  Calculating Length CD. tan(51.34019174591) = 15/CD CD = 15/tan(51.34019174591)  CD = 12 m.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1833746

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Red Area is; 7(area square with side 1 unit) - Area triangle with base 1 unit and height 4 units - Area square with side 1 unit - Area triangle with height and base 1 unit respectively. = 7(1*1) - 0.5(1*4) - (1*1) - 0.5(1*1) = 7 - 2 - 1 - 0.5 = 3.5 square units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1831670

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a = 0.5(90-60) a = 15° cos15 =4/b b = 4.14110472164 cm. Where b is the side length of the inscribed regular triangle purple area. Purple area is; Area triangle with height 4.14110472164 cm and base 4.14110472164sin60 cm = 0.5*4.14110472164*4.14110472164sin60 = 7.4256258422 cm²
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