Let's separate the hexagon into 5 shapes; 2 triangles on each side, and a rectangle in the middle. Now let's find the area of each of the smaller shapes.
Top left triangle:The equation to find the area of a triangle is
(base = b, height = h, a = area)
a = b · h ·

Now let's add in our values and solve.
a = 2 · 4 ·

a = 8 ·

a =
4Now since there are 4 of these triangles, and they're all the same size,
4 · 4 =
16All of the triangles put together =
16cm²The middle rectangle:The equation to find the area of a rectangle is simple:
(w = width, l = length, a = area)
a = w · l
Now let's put in our values and solve.
a = 4 · 8
a =
32The rectangle is
32cm²Now let's add the areas together.
32 + 16 =
48The answer is <span>
48cm²Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
</span>
Trapezoid:
•Can have congruent diagonals. •Has one pair of opposite, parallel sides.
Kites:
•Has congruent adjacent sides.
•Has perpendicular diagonals.
Example:
Linear absolute value inequalities all have a similar equation of |ax + b| < c, except they can be less than, greater than, less than or equal to, or greater than or equal to.
Hope this helped :)
Answer:
Step-by-step explanation:
The probability is
P
(
A
)
=
1
3
Explanation:
To calculate the probability you have to count the number of all possible results
|
Ω
|
and the number of results that fulfill the given condition
|
A
|
.
In this case
Ω
=
{
1
,
2
,
3
,
4
,
5
,
6
}
Thereare 6 possible result of a dice toss. So
|
Ω
|
=
6
The given condition is "the result is divisible by
3
", so
A
=
{
3
,
6
}
- those are the only numbers divisible by
3
, so
|
A
|
=
2
.
Finally to calculate the probability we have to divide
|
A
|
by
|
Ω
|
.
P
(
A
)
=
|
A
|
|
Ω
|
=
2
6
=
1
3
Note The probability is never larger than
1
, so if you get such result then there must be a mistake in calculations.