r² = x²+√(8)²
x = √(r²-8) units.
Calculating r, radius of the semi circle.
3² = x²+(√(8)-(r/2))²
9 = √(r²-8)²+8-2√(2)r+(r²/4)
9 = r²-8+8-2√(2)r+(r²/4)
36 = 4r²-8√(2)r+r²
5r²-8√(2)r-36 = 0
Solvin...
Please, move a step right to review the analyzed figure.
Considering similar triangle ABG ratios.
AG = x
12 = 12-x
It implies;
AG = 12x/(12-x)
Notice;
Angle ABG = Angle EFI, therefore consider...
Let the forward diagonal of the quadrilateral be 2 units.
(2/sin110) = (a/sin35)
a = 1.22077458876 units.
(b/sin30) = (2/sin55)
b = 1.22077458876 units.
It implies;
x = ½(180-130)
x = 25°
Online Edumath Educators and Learners are Smart and Clever!
Let the base of the ascribed triangle be 1 unit.
a = 180-3-6
a = 171°
(1/sin171) = (b/sin3)
b = 0.33455515209 units.
c = 180-30-87
c = 63°
(1/sin63) = (d/sin30)
d = 0.56116311882 units.
e² = 0....
Considering similar plane shapes (triangle) ratios;
10 = y
(16+x) = x
Cross multiply and making y the subject of the formula.
y = 10x/(16+x) ----- (1)
And;
24+½(xy) = ½)10x) ----- (2)
Su...
Calculating BC.
(BC/sin30) = (12/sin75)
BC = 6.21165708246 cm.
Calculating EF.
(6.21165708246/sin75) = (EF/sin30)
EF = 3.21539030917 cm.
Angle FEG is;
360-2(75)-60
= 360-210
= 150°
It implies;...
Let the radius of the circle be r.
Calculating r.
√(r²-4)+√(r²-1) = 3
r²-4 = (3-√(r²-1))²
r²-4 = 9-6√(r²-1)+r²-1
6√(r²-1) = 12
√(r²-1) = 2
r = √(5) units.
BC = √(3²+4²)
BC = 5 cm.
tana = (4/3)
a = atan(4/3)°
tan(½(atan(4/3))) = AF/3
AF = 3tan(½(atan(4/3)))
AF = 1.5 cm.
b = 90-½(atan(4/3))
b = 63.43494882292°
Where b is angle AFE.
sin63.43494882292...
Screenshot of yesterday's teaching and learning activities with very talented, Mathematician Adesuwa, she is a year 5 pupil.
Educator:
Mr. Daniel
Adesuwa is smart and clever.
