The Role of a Mathematics Educator in a School.
A mathematics teacher's role is multifaceted, involving designing and delivering lessons, explaining complex mathematical concepts, assessing studen...
The Great Dolphin Dilemma.
Once upon a time, in a sparkling sea so blue, lived a dolphin named Dippy, full of fun and whoo-hoo! Dippy had a crew, the Splashy Squad, with fins like flippers and hea...
Calculating Angle x.
Let 1 units be BC = CD = AD.
a² = 2-2cos80
a = 1.28557521937 units.
a is BD.
b = 80-½(180-80)
b = 80-50
b = 30°
b is angle ABD.
Therefore, the required angle x...
Calculating angle x.
Let length blue be 1 unit.
a = 180-20-10
a = 150°
(1/sin10) = (b/sin150)
b = 2.87938524157 units.
c = 180-50-20-30-10
c = 180-110
c = 70°
(2.87938524157/sin7...
Calculating Parallelogram ABCD Perimeter.
4² = x²+y²-2xycos60
16 = x²+y²-xy
16+xy = x²+y² --- (1).
6² = x²+y²-2xycos120
36 = x²+y²+xy
36-xy = x²+y² --- (2).
Equating (1) and (2).
16...
Sir Mike Ambrose is the author of the question.
Calculating Shaded Area ÷ Purple Area to 2 decimal places.
Let AB, side length of the regular octagon be 5 units.
Radius, r of the inscribed...
Calculating Total Inscribed Shaded Area.
Let x be the radius of the five congruent inscribed shaded circle.
a = (14.9-2x) cm.
b = 2x cm.
Calculating x.
(2x)² = x²+(14.9-2x)²
4x² = x...
Calculating Area Blue Inscribed Circle.
Let a be the radius of the blue inscribed circle.
b = (a+5) cm.
c = 12-a-5
c = (7-a) cm.
d = (16-a-5)
d = (11-a) cm.
It implies;
(a+5)² =...
Sir Mike Ambrose is the author of the question.
Calculating Exactly Angle Alpha - Angle Beta.
Let Alpha be x.
Let Beta be y.
(6+6√(2))² = 8²+10²-2*8*10cosa
36+72√(2)+72 = 164-160cosa
1...
Calculating Area Yellow.
a = 22+½(24)
a = 34 units.
Considering a careful, smart analysis of the quarter circle and the inscribed irregular yellow pentagon area.
Therefore, yellow area is;...
