Answer:
We will split the trapezoid into right angle triangle and rectangle
Traingle with base 3cm and height 10 - 6 = 4cm
Area of traingle
= 
Area of rectangle with sides 6cm and 3cm
=
Therefore, area of the trapezoid
=
Area of the semi circle with radius 3/2 = 1.5cm
= 

Answer:
x = -1 +/-2i
Step-by-step explanation:
Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.
x² + 2x + 5 = 0
Use the quadratic formula by substituting a= 1, b = 2 and c = 5.

Answer:
Step-by-step explanation:
If BD is altitude then AC is the base.
<u>The length of AC is:</u>
- AC =

<u>The length of BD is:</u>
- BD =

<u>The area is:</u>
- A = 1/2bh
- A = 1/2 *
= 18 unit²
Answer:
Step-by-step explanation:
The triangles are all similar, so corresponding sides are proportional.
__
<h3>x</h3>
long side/short side = x/6 = 12/x
x² = 72 . . . . . . . multiply by 6x
x = 6√2 . . . . . . take the square root
__
<h3>y</h3>
hypotenuse/long side = y/12 = (12+6)/y
y² = 216 . . . . . multiply by 12y
y = 6√6 . . . . . take the square root