Let the side of the regular pentagon be 1 unit.
Calculating Area Red.
a² = 1²+1²-2*1*1cos108
a = 1.61803398875 units.
b = 108-36-60
b = 12°
(c/sin12) = (1.61803398875/sin96)
c = 0.33826121272 un...
a² = 10²+16²-2*10*16cos120
a = 2√(129) units.
Where a is length AC.
(3√(129)/sin120) = (16/sinb)
b = 37.58908946897°
c = 90-b
c = 52.41091053103°
d = 60-b
d = 22.41091053103°
e = 90-d
e = 67.5...
Short Story for Children written by: Daniel Sanchez.
John was a very nice and educated child with all children from school, and they also liked him.
One day, a new student came to his class, was cal...
sin30 = a/12
a = 6 cm.
Where a = AF.
AF = EF = 6cm.
tan30 = b/12
b = 12tan30
b = 4√(3) cm.
Where b = AG.
Notice;
AG = EG = 4√(3) cm.
c = AB-AG
c = 12-4√(3)
c = (12-4√(3)) cm.
Where c = BG.
d²...
Let AC be 1 unit.
Area smaller pentagon is;
½(5)*(1/(2tan(36)))
= 1.72047740059 square units.
a² = 1²+0.5²-cos108
a = 1.24860602048 units.
Where a is CD.
(1.24860602048/sin108) = (0.5/sinb)
b...
Short Story written by: Ana Isabel.
Once upon a time, there was a girl called Rachel, who studied at a school called Mery Mazzarello. Rachel was very happy but her classmates were very mean to her a...
8 = 4
a = (8-a) Cross multiply.
64-8a = 4a
64 = 12a
a = ⅓(16) cm.
b = 8-a
b = ⅓(8) cm.
c = atan(⅔)°
d = atan(3/2)°
⅔ = 8/e
e = 12 cm
⅔ = f/8
f = ⅓(16) cm.
g = 8-f
g = ⅓(8) cm.
Area Orange ex...
The radius of the inscribed circle is 2 units.
a = 2atan(⅓)°
b = 2atan(⅕)°
c = 180-a-b
c = (180-2atan(⅓)-2atan(⅕))°
sin(2atan(⅓)) = d/16
d = (48/5) units.
cos(2atan(⅓)) = e/16
e = (64/5) units....
Super clever is not enough. Our Educators are Resilient, Hardworking and Productive, we make teaching and learning Mathematics fun for learners. Communicate us to mentor/coach your child/children lo...
Let x² = p
Calculating p.
(4-p)^⅓+(p-1)^½ = 1
4-p = (1-(p-1)^½)³
4-p = (p-2(p-1)^½)(1-(p-1)^½)
4-p = 3p-p(p-1)^½-2(p-1)^½+2p-2
(p+2)((p-1)^½) = 4p-6
p-1 = ((4p-6)/(p+2))²
(p-1)(p²+4p+4) = 16p²...
