Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1927886

Let the regular pentagon side be 1 unit. a = ⅕(180*3) a = 108° a is an angle of the regular pentagon. b = 108-36 b = 72° c = 180-45-72 c = 180-117 c = 63° (d/sin63) = (1/sin45) d = 1.26007351067 units. cos72 = e/1 e = 0.30901699437 units. f = 2e+1 f = 2(0.30901699437)+1 f = 1.61803398875 units. g = f-d g = 1.61803398875-1.26007351067 g = 0.35796047808 units. h² = 0.35796047808²+0.5²-2*0.35796047808*0.5cos36 h = 0.2975560347 units. Calculating x. (0.5/sinj) = (0.2975560347/sin36) sinj...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1926872

Let the inscribed regular pentagon side be 1 unit. Area small/inscribed pentagon is; 0.5*5(1/(2tan(180/5))) = 1.72047740059 square units. Calculating Shaded Area. a² = 2-2cos(60+108) a = 1.98904379074 units. b = ½(180-108-60) b = 6° c = 60-2(6) c = 48° sin60 = d/1 d = 0.86602540378 unit. tan24 = e/0.86602540378 e = 0.38557935197 unit. f = 2e f = 0.77115870394 units. g = 0.5(1-f) g = 0.11442064803 unit. cos24 = 0.86602540378/h h = 0.94798282509 unit. Area Shaded is; 48*π*1.98904379...

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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/1925591

Let BD be 1 unit. Therefore; DC = 2 units. a = 180-60 a = 120° b = 180-120-45 b = 15° (1/sin15) = (c/sin120) c = 3.34606521495 units. d² = 3.34606521495²+3²-2*3.34606521495*3cos45 d = 2.44948974278 units. (2.44948974278/sin45) = (3.34606521495/sine) Where e is the required angle, C. Angle C = 75°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1925426

a² = 2*12² a = 12√(2) cm. Where a is AC = CF. b = 90+45 b = 135° Where b is angle BCE. c² = (12√(2))²+12²-24*12√(2)cos135 c = 12√(5) cm. Where c is BE. (12√(5)/sin135) = (12/sind) d = 18.43494882292° Where d is angle EBC. e = 180-18.43494882292-45 e = 116.56505117708° Where e is angle EGC. (12√(2)/sin116.56505117708) = (f/sin18.43494882292) f = 6 cm. Where f is CG = DG. g = 180-116.56505117708 g = 63.43494882292° Where g is angle CGH. h = 180-63.43494882292-45 h = 71.56505117708= Where...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1924236

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...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1924072

(1) 2x²+5x+3 = 0 Using smart completing the square approach. (x+(5/4))²+(3/2)-(5/4)² = 0 (x+(5/4))² = (25/16)-(3/2) (x+(5/4))² = (1/16) x = -(5/4)±(1/4) x = -1 Or x = -1.5 Using factorization approach. 2x²+5x+3 = 0 2x²+2x+3x+3 = 0 2x(x+1)+3(x+1) = 0 (x+1)(2x+3) = 0 Therefore; x = -1 Or x = -1.5 (2). 2 = 5 x = 10 Where x is the circumference of the circle. Cross Multiply. 5x = 20 x = 4 cm.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1924012

a² = 3²+4² a = 5cm. Where a is BC. b² = 2.5²+4²-8*2.5cos(atan(3/4)) b = 2.5 cm. c = 90-atan(3/4) c = atan(4/3) sin(atan(4/3)) = d/4 d = 3.2cm. Where d is CN. e = 5-3.2 e = 1.8cm. Where e is BN. Therefore; BN÷CN is; 1.8÷3.2 = 18÷32 = 9/16

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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/1923083

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 =...

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Mathematics Question and Solution

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

We are smart and clever!

Mathematics Question and Solution

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