You Searched for "102"

252 result found.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2005789

mathematics-question-and-solution_1690402771byD9Qd.jpeg
Let the square side be 2a units. b² = (2a)²+a² b = √(5a²) b = √(5)a units. cos(atan(½)) = c/a c = ⅕(2√(5))a unit. d = b-c d = √(5)a-⅕(2√(5))a d = ⅕(3√(5))a units. Calculating a. 1 = a²+ (⅕(3√(5))a)²-2a(⅕(3√(5))a)cos(180-atan(2)) 1 = (14a²/5)+(6a²/5) 14a²+6a² = 5 20a² = 5 a = ½ units. 2a (the square side length) = 1 unit. (1/sin(180-atan2)) = (0.5/sine) e = 26.56505117708° f = 180-(180-atan(2))-26.56505117708  f = 36.86989764584° g = 90-36.86989764584 g = 53.13010235416°  h = atan(2)°...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1995689

mathematics-question-and-solution_16900920630zHvN6.jpeg
Let the small inscribed circle's radius be x. x = 6 cm. Let the big inscribed circle's radius be y. y = 8 cm. Let the ascribed semi circle's radius be z.  = 18 cm. a² = 10²-8² a = 6 cm. b² = 12²-6² b = 6√(3) cm c = atan(z/b)° c = atan(18/6√(3))° c = atan√(3)° c = 60° d = atan(z/a)° d = atan(18/6) d = atan(3)° (a) Angle theta exactly is; Let it be e. e = 180-c-d e = 180-60-atan3 e = (120-atan3)° e = (atan(⅓)+30)° (b) Calculating Area Shaded to 1 decimal place cm². f = atan(1/√(3)) = 3...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1992768

mathematics-question-and-solution_1690001986RGOhX4.jpeg
a = atan(3/2)° b = atan(2/3)° b = Angle BEG. tan(atan(2/3)) = c/2 ⅔ = c/2 c = (4/3) cm. c = BG. OG = 2-(4/3) OG = ⅔ cm. Notice; Radius of the circle is 2 cm. Angle OGH = 180-atan(3/2) = 123.69006752598° (2/sin123.69006752598) = ((⅔)/sind) d = 16.10211375199° d = Angle OHG. Angle GOH = 180-16.1021137519-123.69006752598 = 40.20781872212° It implies; Length GH is; (GH/sin40.20781872212) = ((2/3)/sin16.10211375199) GH = 1.55173771485 cm.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1986629

mathematics-question-and-solution_1689819640D0Egqq.jpeg
Let the two equal lengths be 1 unit. (a) Calculating Theta exactly. Let theta be x. Calculating x. x = ½(90-54) x = ½(36) x = 18° sin18 = a/1 a = 0.30901699437 unit. b = 90-18 b = 72° sin72 = c/1 c = 0.9510565163 unit. tan36 = 0.9510565163/d d = 1.30901699437 units. Area Blue is; 0.5(1.30901699437*0.9510565163) = 0.62247457122 square units. e = 270-54-96 e = 120° f = 360-120-72 f = 168° g² = 2-2cos168 g = 1.98904379074 units. h = ½(180-168) h = 6° (1.98904379074/sin54) = (i/sin2...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1982892

mathematics-question-and-solution_1689702878OdVnxt.jpeg
Let the radius of the large circle be 1 unit. Diameter of the large circle = 2 units. sin60 = 2/a a = ⅓(4√(3)) units. Where a is the side length of triangle ABC. b² = 2-2cos b = √(3) units. c = a-b c = ⅓(√(3)) units. (d/sin50) = (4√(3)/(3sin100)) d = 1.79639514045 units. e² = (⅓(2√(3)))²+1² e = ⅓√(21) units. 1² = (⅓√(21))²+f²-2*⅓√(21)f cos(atan(3/(2√(3))-10) f² - 2.62161244054f + 1.33333333333 = 0  f = 1.93113 units. g² = 1.93119²+(⅓(4√(3)))²-2*1.93119(⅓(4√(3)))cos10 g = 0.5277832777...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1976094

mathematics-question-and-solution_1689503046xq8Swz.jpeg
Using 12 cm as AB. Circle's radius, r = 6√(2) cm. a = 45-atan(½) a = 18.43494882292° sin(atan(0.5)) = 6/b b = 13.416407865 cm. cos18.43494882292 = c/6√(2) c = 8.049844719 cm. d = 2*8.049844719  d = 16.099689438 cm. e = 16.099689438-13.416407865 e = 2.683281573 cm. f = 2*2.683281573  f = 5.366563146 cm. g = 180-atan2 g = 116.56505117708° h² = 5.366563146²+6²-12*5.366563146cos116.56505117708 h = 9.67470929796 cm. h = CG. (9.67470929796/sin116.56505117708) = (6/sinj) j = 33.69006752598°...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1970098

mathematics-question-and-solution_1689322201FSiUcS.jpeg
Let the hypotenuse of the inscribed triangle be 10 units. Calculating the radius of the ascribed half circle. Let it be a. 2a² = 10² a² = 50 a = 5√(2) units. a = 7.07106781187 units. Calculating r. (5√(2)-r)² = r²+5² 50-10√(2)r+r² = r²+25 25 = 10√(2)r 5 = 2√(2)r r = ¼(5√(2)) units. r = 1.76776695297 units. Calculating R. sin30 = a/10 a = 5 units. cos30 = b/10 b = 5√(3) units. Where a and b area adjacent base and adjacent height of the inscribed right-angled triangle with hypotenuse 10...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1968584

mathematics-question-and-solution_1689268174tKphNv.jpeg
4 = 18-18cosa a = acos(7/9) a = 38.94244126898° a is angle BOC. b = 90-38.94244126898 b = 51.05755873102°  b is angle COD. d = 0.5(180-38.94244126898) d = 70.52877936551° d is angle OCB = angle OBC. e = 90-70.52877936551 e = 19.47122063449° e is angle OCD. f = 19.47122063449+51.05755873102 f = 70.52877936551° f is angle ADC. g = 0.5*38.94244126898+51.05755873102 g = 70.52877936551° sin70.52877936551 = 1/h h = 1.06066017178 units. h is OD. tan(0.5*70.528779365...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1967906

mathematics-question-and-solution_168925345169CwR1.jpeg
Calculating r, radius of the circle. (r/tan40)+(r/tan30) = 10 r = 3.42020143326 cm. (a/sin60) = (10/sin40) a = 13.47296355334 cm. tan40 = 3.42020143326/b b = 4.07603734548  (4.07603734548/sin50) = (c/sin80) c = 5.24005260459 cm. d = 13.47296355334-4.07603734548 d = 9.39692620786 cm. e² = 9.39692620786²+5.24005260459²-2*9.39692620786*5.24005260459cos130 e = 13.38142726359 cm. (13.38142726359/sin130) = (5.24005260459/sinf) f = 17.45618925878° g = 100-17.45618925878  g = 82.54381074122°...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/1965443

mathematics-question-and-solution_16891770302Ylp37.jpeg
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...
WhatsApp Google Map
✕

Safety and Abuse Reporting

Thanks for being awesome!

We appreciate you contacting us. Our support will get back in touch with you soon!

Have a great day!

Are you sure you want to report abuse against this website?

Please note that your query will be processed only if we find it relevant. Rest all requests will be ignored. If you need help with the website, please login to your dashboard and connect to support

Cancel Confirm