Answer:12x3+12x10
Step-by-step explanation:
distribute the 12 to both terms
We know that we need to bake 6 pound for 138 minutes, then we have the proportion:

Let x be the time we need to bake the 3 pound roast, in this case we have the proportion:

By equating both ratios we have the proportion:

Now, by simplifying the right side of the proportion we have that:

For this proportion to be equal we need that x=69, therefore we need to cook the 3 pound roast for 69 minutes.
Answer:

Step-by-step explanation:
<u>Trigonometric Derivatives</u>
We have the function

We must recall that the sine and the cosecant are reciprocal functions, i.e.:

Also, the reciprocal of the tangent is the cotangent:

Thus:

Now it's easier to take the derivative

Evaluating for x=π/4:

Since csc π/4=
:


15 players times the uniforms(x) and the cost of the ball equals the total spent 15(x+8)=435
Answer:
Step-by-step explanation:
The volume of a cone is

Filling in what we have:
and simplifying a bit:

Multiply both sides by 3 to get:

Divide both sides by 12.56 to get:
and take the square root of both sides to find the radius:
r = 5
If the radius is 5 and the radius by definition is half the diameter, then the diameter is 10 inches.