tana = 8/13
a = atan(8/13)°
tan(atan(8/13)) = b/10
b = 80/13 units.
It implies;
Area Blue1 is;
½*10(80/13)
= (400/13) square units.
= 30.7692307692 square units.
Calculating Area Blue2.
c² = 10...
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Area D exactly in cm² is;
Area trapezoid with parallel sides 4 cm and 8 cm, and height 4 cm - Area triangle with height 4 cm and base 3 cm - Area sec...
Let the side length of the regular hexagon be 1 unit.
a² = 1²+1²
a = √(2) units.
b = 180-120
b = 60°
c = 60+45
c = 105°
d² = 2+1-2√(2)cos105
d = 1.9318516526 units.
(1.9318516526/sin105) = (√(2...
Let the pentagon side length be 1 unit.
a = ½(180-108)
a = 36°
b² = 2-2cos36
b = 0.6180339887 units.
Calculating red length (circumference of the inscribed red circle).
Let the radius of the re...
Let the side length of the regular pentagon be 2 units.
Therefore;
Arc radius is;
= 2 units.
Calculating Circle Radius.
a = 180(3)/5
a =108°
b = ½(180-108)
b = 36°
c = 108-36
c =72°
cos72 = 1/...
Let the square side be 2 units.
Area Square is;
2² = 4 square units.
tana = 2/1
a = atan(2)
b = 180-2a
b = (180-2atan(2))°
(1/sin(180-2atan(2))) = (c/sin(atan(2)))
c = 1.1180339887 units.
d² =...
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We make teaching and learning Mathematics fun for learners, we expose the simplicit...
Calculating x, y = 12.
y = (8x)/√(2x+4)
12√(2x+4) = 8x
3√(2x+4) = 2x
9(2x+4) = 4x²
18x+36 = 4x²
4x²-18x-36 = 0
2x²-9x-18 = 0
2x²-12x+3x-18 = 0
2x(x-6)+3(x-6) = 0
Therefore;
x ≠ -3/2 uni...
Let the red square side be 1 unit.
Area Red is;
1² = 1 square units.
Calculating Area Blue.
(1/sin30) = (a/sin126)
a = 1.6180339887 units.
a = 2sin126 units.
It implies;
Area Blue is;
0.5*2sin1...
AC = 12 cm
AB = 10 cm
Therefore Area red exactly in cm² is;
Area triangle with two side (165/90) cm and √(61) cm, and angle atan(5/6)°
= ½*(165/90)*√(61)sin(atan(5/6))
= 4.58333333333 cm²
= 41...
