You Searched for "update"

830 result found.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3553328

mathematics-question-and-solution_1779400249ZnSePW.jpg
Calculating Length QO.Let R be the bigger inscribed circle radius.Let r be the smaller inscribed circle radius.It implies;R+r = 6√(3)-6 = 4.4 units.R+r = 4.4 -----(1).And the radius of the ascribed semi circle is 6 units.Calculating R and r considering the radius of the ascribed semi circle.R = √((6-R)²-R²)Therefore;R = √(36-12R) ----- (2).r = √((6-r)²-r²)Therefore;r = √(36-12r) ----- (3).Adding (2) and (3).R+r = √(36-12R)+√(36-12r) -----(4)Therefore equating (1) and (4).√(36-12R)+√(36-12r) = 4...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3552516

mathematics-question-and-solution_1779323752VRBi5M.jpg
Sir Mike Ambrose is the author of the question.Let a be the equal lengths inscribing triangle ABC.Calculating a.½(a)² = 15a = √(30) units.b = 180-60-45b = 75°b is angle BAC.c = 180-2bc = 30°d² = 2√(30)²d = √(60)d = 2√(15) units.e = 180-60-45e = 75°√(30)/sin60 = (f/sin45)2√(10) = √(2)ff = 2√(5) units.g = d+fg = 2(√(15)+√(5)) units.Area ABC is;½*2√(30)*2(√(15)+√(5))sin45= √(30)*(√(15)+√(5))*√(2)= 2√(15)(√(15)+√(5))= 30+10√(3) square units.Yellow Area is;Area ABC - Area triangle with height and ba...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3551413

mathematics-question-and-solution_1779222307ZXIC7b.jpg
Calculating Length x.a = ½(6)a = 3 units.a is the radius of the circle.b = (5-c) units.6² = d²+(5-c)²d² = 36-(25-10c+c²)d = √(11+10c-c²) units.e = ½(d)e = ½√(11+10c-c²) units.f = (3-c) units.Calculating c.Notice.f = ½(b)3-c = ½(5-c)6-2c = 5-cIt implies;c = 1 unit.Therefore;For c = 1 unit.e = ½√(11+10c-c²)e = ½√(11+10(1)-1²)e = ½√(20)e = √(5) units.Therefore, length x is;x² = 5²+e²x² = 5²+√(5)²x² = 25+5x = √(30) units.x = 5.47722557505 units.OrCalculating x using a different approach.For c = 1 u...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3550383

mathematics-question-and-solution_1779140189yakxLw.jpg
Sir Mike Ambrose is the author of the question. a = ⅛*180(8-2)a = 135°a is the single interior angle of the regular octagon.2² = 2b²b = √(2) units.c = 2+bc = (2+√(2)) units.tand = (2+√(2))/2d = atan(1+½√(2))°tand = 2/e1+½√(2) = 2/ee = 4/(2+√(2)) units.f = c-ef = (2+√(2))-4/(2+√(2))f = ((2+√(2))²-4)/(2+√(2)) units.2/(2+√(2)) = g/((2+√(2))²-4)/(2+√(2))2/(2+√(2)) = g(2+√(2))/((2+√(2))²-4)g(2+√(2))² = 2(2+√(2))²-8g = 2-(8/(2+√(2))²) units.Shaded Area Exactly in square units is;Area rectangle with l...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3549217

mathematics-question-and-solution_1779044105AxH3Ki.jpg
Sir Mike Ambrose is the author of the question.Let CD = 1 units.It implies;DE = 1 units.AD = 2 units.AE = 2 units.1² = 2²+2²-2*2*2cosa1 = 8-8cosacosa = 7/8a = acos(⅞)°b = ½(180-acos(⅞))b = (90-0.5acos(⅞))°sinb = c/2c = 2sin(90-0.5acos(⅞))c = 1.9364916731 units.c = CF.cosb = d/2d = 2cos(90-0.5acos(⅞))d = ½ units.d = EF.AF = AE-EFAF = 2-½AF = ½(3) units.tan(acos(⅞)) = e/AFe = 1.5tan(acos(⅞))e = 0.82992500276 units.e = BFTherefore;BC = CF-BFBC = 1.9364916731-0.82992500276BC = 1.10656667034 units.(...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3548311

mathematics-question-and-solution_1778959621TRiCN1.jpg
Calculating angle a.Let the length of the ascribed rectangle be 2 units.Therefore it's width is 1 unit.b² = 2²+1²b = √(5) units.b is the diagonal of the ascribed rectangle.tanc = 1/2c = atan(½)°tand = 1/0.5d = atan(2)°e = 2de = 2atan(2)°f = ½(180-2atan(2)°)f = (90-atan(2))°g² = 2(0.5)²-2(0.5)²cos(2atan(2))g = 0.894427191 units.h = 90-f-ch = 90-(90-atan(2))-atan(½)h = (atan(2)-atan(½))°h = 36.8698976458°j² = 0.894427191²+√(5)²-2*0.894427191√(5)cos36.8698976458j = 1.61245154966 units.Therefore, a...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3547390

mathematics-question-and-solution_1778876862t42Fgc.jpg
Sir Mike Ambrose is the author of the question.Calculating Shaded Area ÷ Circle Area exactly in decimal.Let the side length of the equilateral triangle be 2 units.Calculating r, radius of the circle.cos30 = 1/rr = 1/cos30r = 2/√(3)r = ⅓(2√(3)) units.Area circle is;πr²= π(⅓(2√(3)))²= ⅓(4π) square units.= 4.18879020479 square units.tan30 = a/1a = ⅓√(3) units.b = r-ab = ⅓(2√(3))-⅓√(3)b = ⅓√(3) units.tan60 = ⅓√(3)/cc = ⅓ units.cos60 = (⅓)/dd = ⅔ units.or sin60 = ⅓√(3)/d½√(3) = ⅓√(3)/d½ = (⅓)/dd = ⅔...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3546533

mathematics-question-and-solution_1778793314FacO3x.jpg
Calculating Blue Shaded Area.Blue shaded triangle area is;4tan(sin–¹(1÷3))= √(2) square units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3545599

mathematics-question-and-solution_1778706859I7Fzuz.jpg
Exact enclosed area R.It is;Area sector with radius 2 units and angle (90-2tan–¹(½)) - Area sector with radius 1 unit and angle (180-4tan–¹(½)) + Area isosceles triangle with two equal lengths 1 unit and angle (180-4tan–¹(½)).=((90-2tan–¹(½))x4π÷360) - ((180-4tan–¹(½))xπ÷360) + 0.5sin(180-4tan–¹(½))= 1.1235011088 square units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3544731

mathematics-question-and-solution_1778624495CUXx1F.jpg
Calculating Green Area : Red Area.Let x be the red square side length.Let 2 units be the green square red length.Area green is;2²= 4 square units.Calculating x.a = (2-x) units.b = 90-60b = 30°tan30 = c/xc = x/√(3)c = ⅓(√(3)x) units.d = x-cd = x-⅓(√(3)x)d = ⅓(3-√(3))x units.It implies;x ~ ⅓(3-√(3))x2 ~ (2-x)Cross Multiply.⅔(3-√(3)) = 2-x6-2√(3) = 6-3x3x = 2√(3)x = ⅔√(3) units.Again, x is the side length of the red square.Area red square is;x²= (⅔√(3))²= 4/3 square units.Therefore, Green Area : R...
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