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Sir Mike Ambrose is the author of the question.
Let the side of the regular octagon be 1 unit.
(a) Calculating alpha exactly. Let it be x.
x = atan(1/(√(2)+1)
x = 22.5°
(b) Calculating Area Yellow...
Sir Mike Ambrose is the author of the question.
Let the side of the regular hexagon be 2 units.
Area Regular hexagon is;
½(12)*(2/(2tan(180/6)))
= 6/tan30
= 6√(3) square units.
Area Shaded is;
A...
Sir Mike Ambrose is the author of the question.
Let the side of the inscribed regular pentagon be 2 units.
Therefore;
Length Red (AD) is;
2+2(2cos72)
= 2+4cos72
= 3.2360679775 units.
Ca...
Notice;
Quadrilateral KMHE and Quadrilateral HMLF are similar plane shapes.
Therefore;
Let MH be x.
Calculate x.
x = 4
9 = x, Cross Multiply.
It implies;
x² = 9*4
x² = 36
x = 6 cm.
Therefore;
MH =...
Our certified, experienced, resilient, productive and committed Math Educators will be glad to be at your service.
We make teaching and learning Mathematics fun for learners, we expose the simplicit...
Sir Mike Ambrose is the author of the question.
Shaded Area exactly in square cm is;
Area rectangle with length 6 cm and 2√(3) cm - Area triangle with height (10-4√(3)) cm and base (10-4√(3))sin60....
Sir Mike Ambrose is the author of the question.
Let the side length of the square be 10 unit.
Area square is;
10²
= 100 square unit.
Therefore;
Area R is;
Area semi circle with radius 5 unit - Ar...
Sir Mike Ambrose is the author of the question.
Let CD = 1 unit.
Therefore;
AB = 2 units.
(a) Calculating Alpha, let it be y to 2 decimal places.
(0.84523652348/siny) = (1/sin115)
siny = 0....
Sir Mike Ambrose is the author of the question.
Let the side of the square be 2 units.
(a) Calculating theta, let it be x.
Angle x is;
x+65+90 = 180
x = 180-155
x = 25°
(b) Calculating...
