Answer:

Step-by-step explanation:




Answer: I and II.
Step-by-step explanation:
By definition, two solids are similar if their corresponding sides are in the same ratio.
Knowing this, let's find which solids are similar:
Corresponding sides ratio of solids I and II:


Corresponding sides ratio of solids I and III:


Corresponding sides ratio of solids II and III:


You can observe that the solids I and II are similar.
Answer:
a) -15 unites per dollar
b) -12 units per dollar
c) -18 units per dollar
Step-by-step explanation:
We are given the following in the question:

where N(p) is the number of boxes of nails at p dollars per box.
a) average rate of change of demand for a change in price from $2 to $3.
Average rate of change =

b) instantaneous rate of change of demand when the price is $2
Instantaneous rate =


The instantaneous rate of change of demand when the price is $2 is decreasing at 12 units per dollar.
c) instantaneous rate of change of demand when the price is $3
Instantaneous rate =

The instantaneous rate of change of demand when the price is $3 is decreasing at 18 units per dollar.
Answer:
129.8 approximately
Step-by-step explanation:
So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.
So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.
My math is case sensitive.
X is the angle opposite to the side x.
Law of cosines formula is:

So we are looking for X.
We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).



Subtract 80 on both sides:


Divide both sides by -64:

Now do the inverse of cosine of both sides or just arccos( )
[these are same thing]

Time for the calculator:
X=129.8 approximately