Answer:
Step-by-step explanation:
The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5
yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
The area of a parallelogram is base times height.
Multiply 16ft by 18ft.
(16)(18) = 288
The parallelogram is 288 ft².
<h3><u>d^3 - 4bd^2 + 16b^2d - 64d^3 is the expanded binomial.</u></h3>
The binomial theorem involves Pascal's triangle, and essentially gives you the coefficients for the formula you're going to use to expand it.
In this case, the coefficients will be 1, 3, 3, and 1.
We can set up our formula like this:
(a + (-b)) = a^3 + a^2b + ab^2 + b^3
Now we can just plug in our values:
(d + (-4b))^3 = d^3 + d^2(-4b) + d(-4b)^2 + (-4b)^3
Now, we can simplify the equation.
(d + (-4b))^3 = d^3 - 4bd^2 + 16b^2d - 64d^3