Radius of the ascribed quarter circle is;
1+1 = 2 cm.
a² = 1²+2²
a = √(5) cm.
Observing similar plane shape (right-angled) side length ratios.
√(5) - 4
1 - b
Cross Multiply.
b =...
Sir Mike Ambrose is the author of the question.
Let the single side length of the regular hexagon be 2 unit.
Area rectangle is;
2.5x√(3)
= ½(5√(3)) square units.
Area green is;
Area t...
Let the radius of the semicircle be r.
Therefore;
r²= (1+√(3))²+(½)²
r²=1+2√(3)+3+¼
r²=4+¼+2√(3)
r²=¼(17+8√(3)
r = ½√(17+8√(3)) units.
r = 2.77742715749 units.
Let the radius of the circle be r.
Therefore;
(2r)²=2(√(20))²
4r²=40
r = √(10) unit.
Therefore area of the circle is;
πr²
π(√(10))²
= 10π square unit.
Sir Mike Ambrose is the author of the question.
Area Orange in cm² to 2 decimal places is;
Area triangle with height 4.70800619717 cm and base (4.09924763539sin35.93797861993) cm + Area trian...
Prime multiples of 243 is;
3*3*3*3*3*3 = 3⁵ in index form.
Prime multiples of 27 is;
3*3*3 = 3³ in index form.
Prime multiples of 81 is;
3*3*3*3 = 3⁴ in index form.
And 3^(x) = 2
Ther...
Notice!
The composite plane shape consist of two squares.
Calculating length x.
Sin30 = 1/a
a = 2 units.
a is the side length of the bigger square.
b² = 2a²
b² = 2(2²)
b = √(8)
b = 2√(2)...
Sir Mike Ambrose is the author of the question.
Area Blue is;
Area triangle with two side length 10½ unit and ((7√(5)sin(atan(3/4)))/(2sin(180-atan(2)-atan(3/4))) unit, and angle (180-2atan(2...
Sir Mike Ambrose is the author of the question.
Area Green total, exactly in cm² is;
Area triangle with height 24 cm and base 10 cm + Area triangle with height 24 cm and base (24tan15) cm - 2...
a = ½(7+13)
a = 10 units.
a is the radius of the ascribed semi circle.
b = 10-7
b = 3 units.
Calculating y.
10² = c²+6²
c² = 64
c = 8 units.
y = b+c
y = 11 units.
Calculating x...
