Answer:
sin(π/8) = (1/2)√(2-√2)
Step-by-step explanation:
Using the half-angle formula ...

We can let θ = π/4 and simplify the result as follows:

The first thing we are going to do for this case is define variables.
We have then:
x: Amount of soybean meal
320 - x: quantity of cornmeal
We now write the equation that models the problem:

Rewriting we have:

From here, we clear x:

Then, the amount of Soybean meal is:

The amount of cornmeal is:
Answer:
cornmeal: 280 lb
Soybean: 40 lb.
Answer:

Step-by-step explanation:
step 1
Find the ratio of the height of shape A to the height of shape B
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> surface area shape A
y----> surface area shape B
so

substitute


therefore
the ratio of the height of shape A to the height of shape B is equal to

step 2
Find the ratio of the height of shape B to the height of shape C
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> volume shape B
y----> volume shape C
so

substitute


therefore
the ratio of the height of shape B to the height of shape C is equal to

step 3
Find the ratio of the height of shape A to the height of shape C
we have


Multiply

so
