Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3559723

Calculating single side length of the square, ABCD.Let single side of the square be x.Notice;PB=¼(AB)=¼(x).Calculating single side length of square ABCD.It will be;Area triangle ADP with height x units and base (x-¼(x)) units + area triangle DOP with base (√(x²+(x-¼(x))²)) units and height 4 units + 2(area triangle DOC with height 4 units and base x units) + area triangle OPB of height (x-4) units and base ½(x) units = area square ABCD with length and width x respectively.Therefore;½(x*(3x/4))+...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3559717

Calculating Shaded Blue Area.a² = (3+5)²+x²a² = a²-64a = √(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+25x²2496-1024+39x² = 0Resolving the above quadratic equation.x = 2.71909 cm.Therefore;(8-2.71909)² = 5²+c²c = 1.69941473105 cm.Recall.a = √(64+x²)And x = 2.71909 cm.a = √(64+(2.71909)²)a = 8.44946450541 cm.d = a+cd = 8.44946450541+1.69941473105d = 10.1488792365 cm.e = d-6e = 4.1488792365 cm.Therefore, Area B...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3559714

Calculating Length x.sina = 4/(4+1)a = asin(4/5)°b² = 1²+4²-2*1*4cos(asin(4/5))b = ⅕√(305) units.b = 3.49284983931 units.(3.49284983931/sin(asin(4/5))) = (4/sinc)c = asin(0.9161573349)c = 113.629377731°d = c-90d = 23.629377731°e = 180-2de = 132.741244538°tan(0.5asin(4/5)) = f/1f = ½ units.f is the radius of the inscribed circle.Calculating length x.x² = 2(0.5)²-2(0.5)²cos132.741244538x = 0.9161573349 units.x = 16√(305)/305 units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3559711

Calculating angle alpha.Let the side length of the ascribed square be 1 unit.Therefore, the side length of the inscribed green regular triangle 1 unit.a = 90-60°a = 30°b² = 2-2cos30b = 0.51763809021 units.c = ½(180-30)c = 75°d = c+60d = 135°(1/sin135) = (0.51763809021/sine)e = 21.4707014327°f = 180-135-ef = 45-21.4707014327f = 23.5292985673°(1/sin135) = (g/sin23.5292985673)g = 0.56457945531 units.h = 1-gh = 1-0.56457945531h = 0.43542054469 units.j² = 0.43542054469²+1²-2*0.43542054469*1cos30j =...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3559708

Calculating the required inscribed area, area pink shaded triangle.Let a be the side length of the two equal inscribed lengths.r = 2+1r = 3 units.r is the radius of the ascribed half circle.b²+(a/2)² = 3²b²= 9-¼(a²)b = √(9-¼(a²))b = ½√(36-a²) units.c = a-bc = a-½√(36-a²)c = ½(2a-√(36-a²)) units.Calculating a.2² = c²+(a/2)²4 = (½(2a-√(36-a²)))²+¼(a²)4 = ¼(4a²-4a√(36-a²)+(36-a²))+¼(a²)16 = 4a²-4a√(36-a²)+36-a²+a²16 = 4a²-4a√(36-a²)+364 = a²-a√(36-a²)+9a√(36-a²) = a²+5a²(36-a²) = (a²+5)²36a²-a⁴ =...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3559704

Calculating the red length.Notice the green length is the diameter of the small circle.Length green = 2*2 = 4 units.Let a be the radius of the big circle.b = (4-a) units.c = 2+bc = 2+(4-a)c = (6-a) units.Calculating a.a² = 2²+(6-a)²a² = 4+36-12a+a²12a = 40a = ⅓(10) units.d = 2ad = 2(⅓(10))d = ⅓(20) units.d is the radius of the big circle.Therefore the required red length is;Let it be e.e = d-4e = ⅓(20)-4e = ⅓(20-12)e = ⅓(8) units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3559703

Calculating r, radius of the inscribed circle.Let the ascribed circle's radius be a.a = ½(b+b+8)a = (b+4) units.c = a-b-bc = (b+4)-b-bc = (4-b) units.Calculating b.a² = c²+4²(b+4)² = (4-b)²+4²b²+8b+16 = 16-8b+b²+1616b = 16b = 1 unit.Recall.a = (b+4) units.And b = 1 unit.a = 1+4a = 5 units.Again, a is the radius of the ascribed circle.Calculating r, radius of the inscribed circle.d = 2ad = 10 units.d is the diameter of the ascribed circle.It implies;r+r+b+b = d2r+2b = dd = 10 units and b = 1 uni...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3559680

Calculating x.tana = 3/1.5a = atan(2)°b = 3+1.5b = 4.5 units.c = 3+1+xc = (4+x) units.Calculating x.It implies;tan(atan(2)) = c/b2 = (4+x)/4.52 = (4+x)/(9/2)2 = 2(4+x)/918 = 8+2x10 = 2xx = 5 units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3558772

Let FO be r, radius of the ascribed circle.a²+r² = (2+3)²a = √(25-r²) units.b = a+rb = (r+√(25-r²)) units.c = r-ac = (r-√(25-r²)) units.Therefore;4*(2+3) = (r-√(25-r²))(r+√(25-r²))20 = r²-(25-r²)20 = 2r²-252r² = 45r² = (45/2)r = √(45/2) units.Recall.b = (r+√(25-r²)) units.And r = √(45/2) units.b = √(45/2)+√(25-√(45/2)²)b = (√(45)/√(2))+√(25-(45/2))b = ½√(90)+√(½(5))b = ½√(90)+½√(10)b = ½(3√(10))+½√(10)b = ½(4√(10))b = 2√(10) units.Therefore, the required length, FB is;(FB)²+2² = b²(FB)² = (2√(1...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3558766

Calculating the red length.a² = 3²+4²a = √(25)a = 5 units.a is the hypotenuse of the ascribed right-angled triangle.tanb = 3/4b = atan(3/4)°tanc = 4/3c = atan(4/3)°Let d be the radius of the inscribed circle.Calculating d.3d+4d+5d = 3*412d = 12d = 1 unit.e = 2de = 2 units.e is the diameter of the inscribed circle.f = 3-1-xf = (2-x) units.g = (1+x) units.Calculating x.4 ~ (1+x)5 ~ (2-x)Cross Multiply.4(2-x) = 5(x+1)8-4x = 5x+59x = 3x = ⅓ units.It implies;g = 1+⅓g = ⅓(4) units.h = 4-1-yh = (3-y)...

You Searched for "update"

830 result found.

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

Mathematics Question and Solution

OnlineEdumath

Socials

Facebook Page

Quick Links

Reach Us

Safety and Abuse Reporting

Thanks for being awesome!

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

Search

You Searched for "update"

830 result found.

Subscribe to our mailing list for latest updates.

Safety and Abuse Reporting

Thanks for being awesome!

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