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>
None of the above is the correct choice
Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of (
).
Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.
Knowing this you can plug in the corresponding i values into (
) and sum it all together
(
) + (
) + (
)
(
) + (
) + (
)
(
) + (
) + (
)
(8) + (2) + (
)
10 + 
10.5
Hope this helped!
~Just a girl in love with Shawn Mendes
(x + 2)^5 = (x + 2) (x + 2) (x + 2)(x + 2)(x + 2) =
(x2 + 4x + 4)(x2+4x+4)(x+2) = ( x4 + 4x3 + 4x2 + 4x3 + 16x2 + 16x + 4x2 +16x + 16)(x+2) = ( x4 + 8x3 + 24x2 + 32x + 16)(x+2) = ( x5 + 8x4 + 24x3 + 32x2 + 16x + 2x4 + 16x3 + 48x2 + 64x + 32) =
x5 + 10x4 + 40x3 + 80x2 + 80x + 32
Answer D
Answer:
Heres the answer hope this helps! :)