You Searched for "102"

252 result found.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3133540

mathematics-question-and-solution_1750048880d3569Q.jpeg
Calculating Area Triangle A. Let the two equal inscribed angles be a each. (0.5*14*12sina)÷(0.5*12*35sina) = 14/35 = 2/5 = 2:5 Where 2:5 is the ratio of the bases of the both triangles with equal angle opposite their base. Let the total length be x. It implies; (2x)² = 14²+12²-2*14*12cosa 4x² = 340-336cosa cosa = (340-4x²)/336 --- (1). (5x)² = 12²+35²-2*12*35cosa 25x² = 1369-840cosa  cosa = (1369-25x²)/840 --- (2). Calculating x. Equating (1) and (2). (340-4...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3129465

mathematics-question-and-solution_1749601909QAYLf7.jpeg
mathematics-question-and-solution_1749601975zvtVnh.jpeg
Let a be the radius of the circ. Calculating a. b = ½(12+2) b = 7 units. c = ½(4+6) c = 5 units. d = b-2 d = 7-2 d = 5 units. It implies; a² = c²+d² a = √(5²+5²) a = √(50) a = 5√(2) units. Again, a is the radius of the circle. Calculating blue area. e² = 6²+12² e = 6√(5) units. sinf = (0.5*6√(5))/(5√(2)) f = 71.5650511771° g = 2f g = 143.130102354° h² = 4²+2² h = 2√(5) units. sinj = (0.5*2√(5))/(5√(2)) j = 18.4349488229° k = 2j k = 36.86989...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3127330

mathematics-question-and-solution_1749369022DRj4P8.jpeg
Calculating x. Let a be the height of the inscribed isosceles triangle. b = ½(7)+7 b = 10.5 units. c² = 10.5²+a² c = √(a²+110.25) units. Let d be one of the two equal inscribed angles. cosd = 10.5/√(a²+110.25) --- (1). e² = 3.5²+a² e = √(a²+12.25) units. f = (10-√(a²+12.25)) units. It implies; (10-√(a²+12.25))² = √(a²+110.25)²+14²-2*14*√(a²+110.25)cosd 100-20√(a²+12.25)+a²+12.25 = a²+110.25+196-28√(a²+110.25)cosd 100-20√(a²+12.25) = 294-28√(a²+110.25)cosd 50-10√(a²+12.25) = 147-14√...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3122646

mathematics-question-and-solution_1748853708D0BhiZ.jpeg
Let a be the radius of the inscribed circle. b² = 2(10)² b = 10√(2) cm. b is the diagonal of the square. 10²+a² = c² c = √(100+a²) cm. d = b-c d = (10√(2)-√(100+a²)) cm. Calculating a. 2a² = (10√(2)-√(100+a²))² √(2)a = 10√(2)-√(100+a²) √(100+a²) = 10√(2)-√(2)a 100+a² = (10√(2)-√(2)a)² 100+a² = 200-40a+2a² a²-40a+100 = 0 (a-20)² = -100+(-20)² a =20±√(300) a = 20±10√(3) Therefore; a ≠ (20+10√(3)) cm. a = (20-10√(3)) cm. a = 2.67949192431cm. Again, a is the radius of the inscribed circle. C...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3117353

mathematics-question-and-solution_1748405073fVvwGd.jpeg
a² = (3+5)²+x² a² = a²-64 a = √(64+x²) cm. b = (8-x) cm. It implies; 5 ~ 8 (8-x) ~ √(64+x²) Cross Multiply. 8(8-x) = 5√(64+x²) (64-8x)² = 25(64+x²) 4096-1024x+64x² = 1600+25x² 2496-1024+39x² = 0 Resolving the above quadratic equation. x = 2.71909 cm. Therefore; (8-2.71909)² = 5²+c² c = 1.69941473105 cm. Recall. a = √(64+x²) And x = 2.71909 cm. a = √(64+(2.71909)²) a = 8.44946450541 cm. d = a+c d = 8.44946450541+1.69941473105 d = 10.1488792365 cm. e...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3116399

mathematics-question-and-solution_17483312501ooN6r.jpeg
Let BH be a. It implies; 25 ~ a a ~ 4 Cross Multiply. a² = 100 a = 10 units. b² = 25²+10² b = √(725) units. b is AB, the side length of the ascribed square. c² = 10²+4² c = √(116) units. d = (10+x) units. Calculating x  √(116) ~ (10+x) 10 ~ √(725) Cross Multiply.  290 = 100+10x 10x = 190 x = 19 units. Or. cose = 4/√(116) e = acos(10/√(116) Therefore; cose = √(725)/f Where f = (x+10) units. cos(acos(10/√(116))) = √(725)/f 10/√(116) =...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3115944

mathematics-question-and-solution_1748272418RzNTHb.jpeg
Sir Mike Ambrose is the author of the question. Let the square side be 1 unit. Therefore; Area B is; Area triangle with height 1 unit and base sin(53.13010235416) units - Area triangle with height 1 unit and base (0.71428571429sin(53.13010235416)) units. = ½*1(sin(53.13010235416)) - ½*1*(0.71428571429sin(53.13010235416)) = 0.4 - 0.28571428572  = 0.11428571428 square units. Area A is; Area triangle with height 1 unit and base 0.5 units + Area triangle with height 0....

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3115931

mathematics-question-and-solution_1748271188MHA2gU.jpeg
a = ½(4+6) a = 5 units. a is radius. 10² = x²+b² b = √(100-x²) units. c = 10-½(4) c = 8 units. x² = c²+d² x² = 8²+d² d = √(x²-64) units. Calculating x. Therefore; 8 ~ √(x²-64) √(x²-64) ~ 2 Cross Multiply. √(x²-64)² = 16 x²-64 = 16 x² = 80 x = √(80) x = 4√(5) units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3112640

mathematics-question-and-solution_17479092529OsAul.jpeg
Notice. R-r = 10 cm. It implies; R = (10+r) cm. R is the side length of the ascribed square. Calculating length AB. a = R-r a = 10 cm. b = ½(R) units. It implies; R² = 10²+(½(R))² R²-¼(R²) = 100 ¼(3R²) = 100 3R² = 400 R = √(400/3) R = ⅓(20√(3)) cm. R = 11.5470053838 cm. And R-r = 10 cm. Therefore; ⅓(20√(3))-10 = r r = ⅓(20√(3)-30) cm. r = 1.5470053838 cm. Recall. b = ½(R) units. b = ½(11.5470053838) b = 5.7735026919 cm. tanc = 10/5.77350269...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3096008

mathematics-question-and-solution_1746771041QohBfc.jpeg
a = (r+R) b = (R-r) It implies; 8²+b² = a² R²+2Rr+r² = 64+R²-2Rr+r² 4Rr = 64 Rr = 16 R = 16/r --- (1). It implies; a = r+(16/r) a = (16+r²)/r b = (16/r)-r b = (16-r²)/r Therefore; Calculating r. (2r)²+((16+r²)/r)² = 10²+((16-r²)/r)² 4r⁴+(16+r²)² = 100r²+(16-r²)² 4r⁴+r⁴+32r²+256 = 100r²+256-32r²+r⁴ 4r⁴+64r² = 100r² 4r² = 36 r² = 9 r = 3 units. Calculating R. At (1), R = 16/r. And r = 3 units. It implies; R = 16/3 units. Calculating x. x = 2...
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