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Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2255445

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Calculating r, radius of the Semi Circle. ½(π)r² = 338π r² = 676 r = 26 cm. a = ½(48) a = 24 cm. Calculating x. It implies; Observing Pythagoras Rule. 26² = 24²+x² x² = 676-576 x² = 100 x = 10 cm.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2255443

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a = ⅐*180(7-2) a = ⅐(180*5) a = ⅐(900)° a is the single interior angle of the regular heptagon. Calculating x and y. b = 360-2*⅐(900) b = (360/1)-(1800/7) b = ⅐(2520-1800) b = ⅐(720)° c = ½(b) c = ½*⅐*720 c = ⅐(360)° It implies; Angle x is; x = ⅐(900)-c x = ⅐(900)-⅐(360) x = ⅐(540)° Angle y is; y = 180-c y = (180/1)-(360/7) y = ⅐(1260-360) y = ⅐(900)°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2255282

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a = 10+94 a = 104° a is angle BAC. b = 24+34 b = 58° b is angle ABC. Let AB = 1 unit. c = 180-58-104 c = 180-162 c = 18° c is angle ACB. It implies; (1/sin18) = (d/sin104) d = 3.1399429285 units. d is BC. e = 180-94-24 e = 108-118 e = 62° e is angle ADC. It implies; (1/sin62) = (f/sin94) f = 1.129811167 units. f is BD g² = 1.129811167²+3.1399429285²-2*1.129811167*3.1399429285cos34 g = 2.2920782452 units. g is CD. Calculating x, angle BCD. (2.292078245...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2255255

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a² = 6²+8² a = √(100) a = 10 cm. a is the hypotenuse of the ascribed right-angled triangle. Let b be the hypotenuse of the blue inscribed right -angled triangle. It implies, observing similar triangles ratio. 6 = 3 10 = b, cross multiply. 6b = 3*10 b = 5 cm. Let c be the base of the inscribed blue right-angled triangle. Calculating c. 5² = 3²+c² c = √(25-9) c = √(16)  c = 4 cm. Therefore, Area Blue is; ½*3*c = ½*3*4 = 6 cm²

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2254718

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b = 8-a  It implies; 27^(a)/3^(8-a) = 81 3^(3a) = 3^(8-a)*3⁴ 3a = 8-a+4 3a = 12-a 4a = 12 a = 3. Calculating b. b = 8-a And a = 3 b = 8-3 b = 5

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2254650

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a = 4+8  a = 12 cm. a is the radius of the quarter circle. tanb = 12/4 b = atan(3)° c = (60+atan(3))° (12/sin(60+atan(3))) = (4/sind) d = 14.4420678686° e = 180-60-atan(3)-d e = 120-atan(3)-14.4420678686 e = 33.9928809543° f = 90-e f = 90-33.9928809543 f = 56.0071190457° (12/sin(60+atan(3))) = (g/sin33.9928809543) g = 8.9669238624 cm. h² = 4²+12² h = √(16+144) h = √(160) h = 4√(10) cm. Therefore; Area Blue is; Area triangle with height 4√(10) cm and bas...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2248544

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Let the square side be x. Calculating x. a = (5-½(x)) units. b = (5-x) units. It implies; 5² = (5-½(x))²+(5-x)² 25 = 25-5x+¼(x)²+25-10x+x² ¼(5x²)-15x+25 = 0 ¼(x²)-3x+5 = 0 x²-12x+20 = 0 Resolving the above quadratic equation. x²-10x-2x+20 = 0 x(x-10)-2(x-10) = 0 (x-2)(x-10) = 0 It implies; x ≠ 10 units. x = 2 units. Where x is the side length of the square. Therefore; Area square is; x² = 2² = 4 square units. = 4 m²

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2246027

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The side of area green, inscribed square is; Let it be x. Therefore; 1.11496246101x + 0.82101781219x = 27.3672604063 1.9359802732x = 27.3672604063 x = 14.1361256544 cm Therefore; Exact perimeter of green area in decimal cm is; 4(14.1361256544) = 56.5445026176 cm

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2244605

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Let BC be 1 unit. a = 180-18-64 a = 180-82 a = 98° a is angle BDC (1/sin98) = (b/sin18) b = 0.3120538813 units. b is BD c = 180-4-18-64-46 c = 180-132 c = 48° c is angle BAC. (1/sin48) = (d/sin22) d = 0.5040828928 units. d is AB. e² = 0.5040828928²+0.3120538813²-2*0.5040828928*0.3120538813cos46 e = 0.3646042276 units. e is AD. (0.3646042276/sin46) = (0.3120538813/sinx) where x is the required angle (angle BAD) x = 38°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2244589

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Let AC be 1 unit. Area smaller pentagon is; ½(5)*(1/(2tan(36))) = 1.72047740059 square units. a² = 1²+0.5²-cos108 a = 1.24860602048 units. Where a is CD. (1.24860602048/sin108) = (0.5/sinb) b = 22.38617755917° c = 108-22.38617755917 c = 85.61382244083° Calculating Area E. It is; 0.5*0.5*0.5*1.24860602048sin22.38617755917 = 0.05944103227 square units. (a) Area E ÷ Area Smaller Pentagon to 3 decimal places is; 0.05944103227 ÷ 1.72047740059 = 0.03454915028  ≈ 0.035 Calculating r, radius...
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