You Searched for "update"

694 result found.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3453533

mathematics-question-and-solution_1769469566WmdADk.jpeg
Calculating length AD.Let AD be x.Let alpha be y.Notice.AB = CD = 6 cm.a = (x+6) cm.tany = x/6 --- (1).tan(2y) = 6/(x+6) (2tany)/(1-tan²y) = 6/(x+6) --- (3).Calculating x.Substituting (1) in (3).(2tany)/(1-tan²y) = (6/(x+6)(2(x/6))/(1-(x/6)²) = 6/(x+6)(x/3)/(1-(x²/36)) = (6/(x+6))(x/3)/((36-x²)/36) = (6/(x+6))36x/(108-3x²) = (6/(x+6))36x(x+6) = 6(108-3x²)6x(x+6) = 108-3x²6x²+36x = 108-3x²9x²+36x-108 = 0x²+4x-12 = 0(x²+6x)-(2x-12) = 0x(x+6)-2(x+6) = 0(x+6)(x-2) = 0It implies;x ≠ -6 cm.x = 2 cm.W...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3452550

mathematics-question-and-solution_1769375768p95E2l.jpeg
Calculating (length Blue + length red)/(length yellow).Let r be the radius of the circle.Calculating r.πr² = 144πr² = 144r = 12 cm.a = 2ra = 24 cm.a is the diameter of the circle.Let b be the blue length.A sincere study of the plane shape derives a regular hexagon inscribing the circle with blue side length b each length.Notice.The single six interior angles of the regular hexagon is 120° each.Let c be the red length.c²+b² = 24²c = √(576-b²) units.Calculating b.√(576-b²)² = b²+b²-2*b*bcos120 57...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3451692

mathematics-question-and-solution_1769299682qsbWl3.jpeg
Calculating length FB.Notice.Triangle BCF is equilateral.It Implies;Let FB = CB = FC = x.(17/sin60) = (15/sina)sina = (15sin60)/17a = 49.8305486955°a is angle BFD.b = 180-60-ab = 70.1694513045°Therefore, x, length FB is;(x/sin70.1694513045) = (17/sin60)x = (17sin70.1694513045)/sin60x = 18.4658560997 units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3450690

mathematics-question-and-solution_1769204791VWkEiS.jpeg
Calculating Blue Area.a = ½(2)a = 1 unit.a is the radius of the inscribed half circle.tanb = 2/1b = atan(2)°c = 2bc = 2atan(2)°d = 180-cd = 2atan(0.5)°Blue Area is;Area sector with with radius 1 unit and angle 2atan(2)° - Area triangle with height 1 unit and base sin(2atan(2)) units + Area sector with with radius 2 units and angle 2atan(0.5)° - Area triangle with height 2 unit and base sin(2atan(0.5)) units.(2atan(2)π/360)-(0.5*sin(2atan(2)))+(2atan(0.5)π*2*2/360)-(0.5**2*2sin(2atan(0.5)))= 1.1...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3449756

mathematics-question-and-solution_1769121707GvfUUT.jpeg
Sir Mike Ambrose is the author of the question.Let the side length of the square be 2 units.Therefore area ABD (equilateral triangle) is;Area triangle with height 2 unit and base (2sin60) units.= ½*2*2sin60= √(3) square units.Area purple is;Area triangle with height 2√(5-2√(3)) units and base (√(3)/3sin(atan(⅓(2+√(3)))))sin(atan(⅓(2+√(3)))+atan(½(√(3)+1))) units.= ½(2√(5-2√(3)))(√(3)/3sin(atan(⅓(2+√(3)))))sin(atan(⅓(2+√(3)))+atan(½(√(3)+1)))= ½*(2√(5-2√(3)))(√(3)/3sin(atan(⅓(2+√(3)))))sin(105)=...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3448631

mathematics-question-and-solution_1769026040R9TEzx.jpeg
Sir Mike Ambrose is the author of the question.Let the single side length of the square be 2 units.Therefore;Area Square is;2²= 4 square units.Area Green is;Area triangle with height √(3) units and base (4√(3)-6) units.= ½(√(3)*(4√(3)-6))= √(3)(2√(3)-3)= (6-3√(3)) square units.It implies;Area Green ÷ Area Square exactly in its simplest form is;(6-3√(3)) ÷ 4= ¼(6-3√(3))It implies;Angle Alpha, Q, exactly in its simplest form is;(180-atan(2+√(3))°Q = (180-75)°Q = 105°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3447666

mathematics-question-and-solution_1768947448w39gKU.jpeg
Calculating r, radius of the circle.a = 5+6a = 11 units.b = ½(a) b = 5.5 units.c = 180-60c = 120°It implies;d² = 3²+6²-2*3*6cos60d² = 45-18d = √(27)d = 3√(3) units.((3√(3))/sin60) = (6/sine)e = 90°f² = 5²+3²-2*5*3cos120f² = 34+15f = √(49)f = 7 units.(7/sin120) = (5/sing)g = 38.2132107017°h = e+gh = 90+38.2132107017h = 128.2132107017°j = 2hj = 256.426421403°k = ½(360-256.426421403)k = 51.7867892983°Therefore, r, radius of the circle is;sin51.7867892983 = 5.5/rr = 5.5/sin51.7867892983r = 7 units....

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3446523

mathematics-question-and-solution_1768852389aZGTBo.jpeg
Calculating d, the diameter of the circle.Let r be the radius of the circle.a*4 = 2*22a = 11 units.b = 22+2b = 24 units.c = ½(b)c = 12 units.d = ½(11+4)-4d = 7.5-4d = 3.5 units.Radius r of the circle is;r² = 12²+3.5²r² = 144+12.25r = √(156.25)r = 12.5 units.Therefore, d, the diameter of the circle is;d = 2rd = 2*12.5d = 25 units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3445673

mathematics-question-and-solution_1768772940a1Rd7n.jpeg
Calculating x.Let AD = y.x² = y²+32²-2*32*ycosax² = y²+1024-64ycosa --- (1).x² = y²+17²-2*17*ycosax² = y²+289+34ycosa --- (2).Calculating y.Equating (1) and (2).y²+1024-64ycosa = y²+289+34ycosa1024-64ycosa = 289+34ycosa1024-289 = 64ycosa+34ycosa735 = 98ycosaycosa = 735/98ycosa = 15/2cosa = 15/(2y) --- (3).cosa = y/32 --- (4).Equating (3) and (4).15/(2y) = y/322y² = 15*32y² = 16*15y = 4√(15) units.It implies, x, length AB = AC is;32² = x²+(4√(15))²1024 = x²+240x² = 1024-240x² = 784x = √(784)x =...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3444604

mathematics-question-and-solution_1768685416qrZukX.jpeg
Calculating Yellow Area.Let AB = BC = aLet BD = bIt implies;a² = b²+7²+2*7*bcosxa² = b²+49+14bcosx --- (1).a² = b²+25²-2*25*bcosxa² = b²+625-50bcosx --- (2).cosx = b/25 --- (3).Equating (1) and (2).b²+49+14bcosx = b²+625-50bcosx49+14bcosx = 625-50bcosx64bcosx = 576bcosx = 576/64bcosx = 72/8bcosx = 9cosx = 9/b --- (4).Calculating b.Equating (3) and (4).b/25 = 9/bb² = 9*25b = 15 units.cosc = 15/25c = acos(3/5)°d = 180-cd = (180-acos(3/5))°Therefore, yellow area is;½*7*15sin(180-acos(3/5))= 0.5*7*...
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