Answer:
36
Step-by-step explanation:
(6^2)^4
(6)^2+4
6^6
36
3)
4)
Step-by-step explanation:
3)
The regular hexagon can be seen as consisting of 6 identical triangles, so its area is equal to six times the area of one triangle:
The area of one triangle can be written as:
where:
is the base of the triangle
is the height
Substituting,
And so, the area of the regular hexagon is:
4)
Here we have a complex figure consisting of several regular figures.
We observe that the figure consists of 2 parallelograms, on top and on bottom, so the total area of the figure is the sum of the areas of the two parallelograms:
where is the area of one parallelogram, which is given by
where:
b = 7 yd is the base of the parallelogram
h = 3 yd is the height of the parallelogram
Therefore, the area of the parallelogram is
And therefore, the area of the figure is:
Y - y1 = (x - x1)
slope(m) = -6
(-9,-3)....x1 = -9 and y1 = -3
now we sub
y - (-3) = -6(x - (-9) =
y + 3 = -6(x + 9)
Vertical Reflection (or reflection over the y-axis) at x=-2
Answer:
There are 51 boxes all together.
Step-by-step explanation:
Since there are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes, to determine how many boxes are there all together, the following calculation must be done:
3 + 3 x 4 + 3 x 4 x 3 = X
3 + 12 + 36 = X
51 = X
Therefore, there are 51 boxes all together.