Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2491932

Let AB = BC = 1 unit. tan30 = a/1 a = ⅓√(3) units. a = 0.5773502692 units. a is CD. cos30 = 1/b b = ⅓(2√(3)) units. b = 1.1547005384 units. b is BD. c = 90-30 c = 60° c is angle BDC. 3(90)+90+60+d = 180(5-2) 270+150+d = 540 540° is the sum of the interior angles of the irregular pentagon ABCDE. d = 540-270-150 d = 540-420 d = 120° d is angle BAE. e = 90-30 e = 60° e is angle ABD. f² = 1.1547005384²+1-2*1.1547005384cos60 f = 1.0856485596 units. f is AD. (...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2490228

Let R be radius of the quarter circle. Let r be radius of the inscribed circle. R will be; √(3²+4²) R=√(25) R= 5 unit. Calculating r, radius of the inscribed circle. Therefore r will be; (5-r)²=(3+r)²+r² 25-10r+r²=9+6r+r²+r² r²+16r-16=0 Therefore resolving the quadratic equation via completing the square side to get r, radius of the inscribed circle. (r+8)² = 16+8² (r+8)² = 80 r = -8±√(80) r = -8±4√(5) It implies; r ≠ -8-4√(5) r = -8+4√(5) r = 4(√(5)-2) units....

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2490219

Let the base of the equilateral be 1 unit. a = 180-22-16-38 a = 180-76 a = 104° (1/sin104) = (b/sin38) b = 0.6345091075 units. c = 180-16-44-38 c = 180-98 c = 82° (1/sin82) = (d/sin(38+44)) d = 1 unit. e² = 0.6345091075²+1-2*0.6345091075cos22 e = 0.4753825906 units. (0.4753825906/sin22) = (0.6345091075/sinf) f = 30° f is the required angle. ? = 30°

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2488540

Shaded region/area is; 2(sector area with radius 2cm and angle 60°) - (equilateral triangle area with sides 2cm each side) + (square area with sides 2cm each side) - (square area with sides 4cm each side - circle area with radius 2cm)/4 - (2(sector area with radius 2cm and angle 60°) - (equilateral triangle area with sides 2cm each side)). Therefore; 2(4π)/6 - (4sin60)/2 + (4) - (16 - 4π)/4 - (2(4π)/6 - (4sin60)/2) = (4π)/3 - √(3) + 4 - (4 - π) - ((4π)/3 - √(3)) = (4π)/3 - √(3) + 4...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2488271

Sir Mike Ambrose is the author of the question. Exact Area R in its simplest from will be; Area semi circle with radius 2 unit - Area right-angled triangle with height 2√(2+√(2)) unit and width 2√(2-√(2)) unit - Area sector with radius 2 unit and angle 45° + Area isosceles triangle with two equal length, 2 unit each and angle 45° - Area quarter circle with radius 2 unit + Area isosceles right-angled triangle with height and width 2 unit respectively - Area sector with radius 2 unit and...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2488032

a = 5+√(7)-1 a= (4+√(7)) units. tanb = 1/(4+√(7)) b = atan(1/(4+√(7))) c = 2b c = 2atan(1/(4+√(7)))° cos(2atan(1/(4+√(7)))) = (5+√(7))/d d = (5+√(7))/cos(2atan(1/(4+√(7)))) d = 8 units. d is the diameter of the semi circle. Therefore e, radius of the semi circle is; e = ½(d) e = ½(8) e = 4 units.

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2487952

Let the three equal lengths of the ascribed pentagon be 1 unit each. a² = 2-2cos80 a = 1.2855752194 units. b = ½(180-80) b = 50° c = 80-b c = 30° d = 90-b d = 40° It implies; (1.2855752194/sine) = (1/sin30) e = 40° 30+40+40+f = 180 f = 180-110 f = 70° g = 180-70-80 g = 30° (1/sin30) = (h/sin70) h = 1.8793852416 units. j² = 1+1.2855752194²-2*1.2855752194cos(70+40) j = 1.8793852416 units. Notice; h = j It implies; k = ½(180-(80-40)) k = ½(180...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2487819

a = ⅛*180(8-2) a = 135° a is the single interior angle of the regular octagon. b² = 2²+2²-2*2*2cos135 b = 3.69551813 units. c = 135-2*½(180-135) c = 135-45 c = 90° d = 90-½(45) d = 90-22.5 d = 67.5° (e/tan45)+(e/tan33.75) = 3.69551813 2.4966057627e = 3.69551813 e = 1.480216935 units. e is the radius of the inscribed circle. f² = 2*1.480216935² f = 2.0933428647 units. g = 67.5-½(360-2*135) g = 67.5-45 g = 22.5° 2h² = 2² h = √(2) units. j = ½(2h+2) j = (√...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2486836

a = ⅙*180(6-2) a = 120° a is the single interior angle of the regular hexagon. b = a-90 b = 30° tan30 = 6/c c = 6/(1/√(3)) c = 6√(3) cm. Therefore, area orange is; ½*6*c = ½*6*6√(3) = 18√(3) cm² Calculation purple area. d² = 12²+12²-2*12*12cos120 d = 12√(3) cm. e = d+c e = 12√(3)+6√(3) e = 18√(3) cm. sin30 = f/e f = ½*18√(3) f = 9√(3) cm. cos30 = g/e g = ½√(3)*18√(3) g = 9*3 g = 27 cm² sin30 = h/(12√(3)) h = 6√(3) cm. Area purple is Area tr...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/2486754

Blue Area is; Area square with side length 4 units - 3(area circle with radius 1 unit) = (4*4)-3(1²*π) = (16-3π) square units.

You Searched for "post"

2242 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

Useful Tags

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 "post"

2242 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?