Answer:
27 9/16 21/16 1
Step-by-step explanation:
The table with the input and output values for the exponential function is the following:
x −3 −2 −1 0 1 2 3
f(x) 8/27 8/9 8/3 8 2/4 7/2 2/16
Now we have to take three output values that are three values apart and calculate their ratio. Let's take x=0 and x=-3. The output ratio is:
Let's now take x=1 and x=-2:
And so on:
So, the ratios are:
27 9/16 21/16 1
Hello we know that the triangles are proportional so they have the same ratio
the unknown side is 21 because of this.
18/6=3/1
for each 1 unit in the bottom triangle there are 3 in the top
9×3=21
We can split the given figure in 2 right triangles:
So, in order to get the area of each triangle, we need to find the base, denoted by x in both of them. Since both are right triangles, we can to apply Pythagoresn theorem. By applying this theorem to right hand side triangle, we have
so we have
Then, x is given by
Then, the area of the left triangle is given by
Similarly, the area of the second triangle is given by
Then, the area of the entire figure is the sum of the area of the 2 triangles, that is,
Therefore, the answer is: 330 square inches
Answer:
The sales tax is $2.00.
(P.S. I know you already know the answer, I just wanted to answer.)