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We are smart and clever!

https://onlineedumath.com/update/we-are-smart-and-clever/1966128

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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/1965443

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Let the square side length be 2 units. a² = 2 a = √(2) units. a = 1.41421356237 units. Calculating b. c = atan(2)° d = (180-atan(2))° (1/sine) = (2/sin(180-atan(2)) e = 26.56505117708° f = 180-(180-atan(2))-26.56505117708  f = 36.86989764584 units. g = ½(90-2*36.86989764584) g = 8.13010235416° Therefore, b is; b = 2h And; sin8.13010235416 = h/2 h = 0.28284271247 units. b = 2*0.28284271247  b = 0.56568542495 units. It implies; a : b is; 1.41421356237÷0.56568542495 = 2.5 =25/10 =5...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1965364

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a² = 5²+12² a = 13 cm. a = AC = BD = diameter of the ascribed circle. b = ½(13) b = 6.5 cm. b = OG = OE = radius of the ascribed circle. c = atan(6/(6.5+2.5)) c = atan(6/9) c = 33.69006752598° c = Angle OEF = Angle BCF. d = 6.5-2.5 d = 4 cm. tan33.69006752598 = e/4 e = 8/3 cm. f = atan((8/3)/(5/2)) f = 46.84761026599° g = atan(2.5/6) g = 22.61986494804° h = 90-22.61986494804-46.84761026599 h = 20.53252478597° h = Angle BOG. i = ½(180-20.53252478597) i = 79.73373760702° i = Angle OGB =...

Mathematics Question and

https://onlineedumath.com/update/mathematics-question-and/1963748

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Let the square side be 2 units. Area square is; 2² = 4 square units. Calculating Area A. a² = 2²+1²-2*2*1cos45 a = √(5-2√(2)) units. (√(5-2√(2))/sin45) = (2/sinb) b = asin(√(2)/(√(5-2√(2))))° c = 180-asin(√(2)/(√(5-2√(2)))) c = 106.3249499369° Area A is; Are sector with radius 2 units and angle 45° - Area triangle with height 2 units and base sin45° - Area sector with radius 1 unit and angle (asin(√(2)/(√(5-2√(2)))))° = (45π*4/360) - (½*2*sin45) - (asin(√(2)/√(5-2√(2)))π/360) = ½(π...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1962150

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Notice! BC+CD+DB = AD Let BC = 1 unit. (1/sin132) = (CD/sin12) CD = 0.27977277603 units. (1/sin132) = (BD/sin36) BD = 0.79094307346 units. Therefore; AD = 0.79094307346+0.27977277603+1 AD = 2.07071584949 units. Calculating the required angle x. (2.07071584949/sin54) = (0.79094307346/sinx) x = 18°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1961471

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Let a be the side of the square. cos30 = b/8 b = 4√(3) cm. sin30 = c/8 c = 4 cm. a = b+12 a = (12+4√(3)) cm. Area Square is; a² = (12+4√(3))² = 358.27687752661 cm²  d² = 12²+4²-2*4*12cos30 d = 8.76707255797 cm. (8.76707255797/sin30) = (12/sine) e = 180-43.18678543201 e = 136.81321456799° f = 360-e-180 f = 43.18678543201° g² = 8²+8.76707255797²+2*8*8.76707255797cos43.18678543201 g = 6.21165708246 cm. (6.21165708246/sin43.18678543201) = (8.76707255797/sinh) h = 75° i = 120-757.54700...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1961439

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Notice; ABC triangle is Isosceles. Therefore; AB = AC = (1+√(3)) units. Calculating BC. (BC/sin30) = ((1+√(3))/sin75) BC = √(2) units. (CD)² = 3+2-2√(6)cos75 CD = 1.93185165258 units. Calculating x, the required angle. (1/sinx) = (1.93185165258/sin30) x = 15°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1961410

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Let AB = BC = AD = 1 unit. (AC)² = 2-2cos150 AC = 1.93185165258 units. Angle CAB is; = 15° Angle DAC = 90-15 = 75° (CD)² = 1.93185165258²+1-2*1.93185165258cos75 CD = 1.93185165258 units. Notice; CD = AC = 1.93185165258 units. Therefore, the required angle x is; x (angle ADC) = 75°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1961338

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Notice, the figure is not drawn to scale. a² = 20²+21² a = √(841) a = 29 units. Therefore; 23+x+3 = 29 x = 29-26 x = 3 units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1961315

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a = 10√(2) units. a is a diagonal of the square. (12/sin45) = (10√(2)/sinb) b = 56.44269023808° tan56.44269023808 =10/c c = 6.63324958071 units. d = 10-6.63324958071  d = 3.36675041929 units. d is adjacent length (base) of the blue inscribed right-angled triangle. e = 90-56.44269023808 e = 33.55730976192° f = 90-33.55730976192-45 e = 11.44269023808° tan11.44269023808 = f/10 f = 2.02410864032 units. g = 10-2.02410864032 g = 7.97589135968 units. g is adjacent length...
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