9514 1404 393
Answer:
a = 3
Step-by-step explanation:
The x-values 5, 3, 1 form an arithmetic sequence. The y-values will do the same: 1, 2, a = 1, 2, 3 -- a common difference of +1.
a = 3
Each term is being divided by -3, so the next three terms would be:
-1/3, 1/9, -1/27
Total length of the wire = 2*13 + 2*5 = 26 + 10 = 36 in.
so length of each side of the triangle would be 36/3 = 12 ins.
The formula of a volume of a cone:

We have:

Substitute:

Answer: 1206 cm³
We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

Replacing in the formula for the area we get:

Now we use the distributive law: