Answer:
z=3.3 repeating
Step-by-step explanation:
Move all terms that don't contain z to the right side and solve.
(2^8 x 3^-5 x 6^0) x [(3^-2/2^3) x 2^28] = x
(256 x .004 x 1) x [(.111/8) x 268,435,456] = x
(1.024 x 1) x .(0138 x 268,435,456) = x
1.024 x (.0138 x 268,435,456) = x
1.024 x 3,704,409.2928 = x
3,793,315.1158272 = x
Correct me if I am wrong. :)
Answer:

Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:

Solve for x


So:


At this point, we have established that the rhombus is made up 4 triangles of the following dimensions


So, the area of the rhombus is 4 times the area of 1 triangle




<em>48.25 in^2</em>
Step-by-step explanation:
The formula for the surface area of a pyramid is:

B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.


A = 10.75
Now we can plug in 10.75 for B.

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

48.25 in^2