Answer:
288 small fish.
Step-by-step explanation:
The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:
a = l * w * h
l = 6
w = 4
h = 4
Replacing
a = 6 * 4 * 4
a = 96 cubic feet
they tell us that per cubic foot there is room for 3 small fish, therefore:
96 * 3 = 288
Which means that there are 288 small fish.
Answer:
converts Celsius to Fahrenheit.
converts Fahrenheit to Celsius.
Step-by-step explanation:
Write given data in the table

Let the expression for the function be

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.
Substitute corresponding values into this expression:

Subtract these two equations:

Substitute it into the first equation:

So,

This is the function which converts Celsius to Fahrenheit.
And function
converts Fahrenheit to Celsius.
Answer:
1/8
Step-by-step explanation:
I'm going to try to explain this as easy as possible. What I did was take the original shape and divide it by the new shape. For this question, I solved it by dividing 32(the original base) by 4(the new base) and got 8. So the scale factor of the reduction was 1/8.
<span>First of all in order to find the exact value by using a half angle identity we will do
cos(5π divided by 12)
=cos (5π divided by 6) divided by 2
= ± Under root[(1+cos (5π divided by 6) divided by 2]
Now we will consider + sign because 5π divided by 12 is in quadrant. where cos>0
so the solution is [(1- Under root 3 divided by 2) divided by 2]
We will ignore the negative sign
I hope it helped.</span>