Answer:
The essence of Mathematics lies in its freedom
Answer:
many different triangles.
Step-by-step explanation:
The given information is the length of two sides of a triangle, these lengths are:
8ft and 11ft
So the third side can have different lengths (notice that we do not have any restriction in the angles neither)
Then the third side has a lot of different possible lengths, this means that we can make many different triangles with this information.
Remember that one of the criteria for congruent triangles is SSS, (side side side)
So if we know 3 sides, there is only one triangle that can be made with these sides, but if we only know two sides this is not the case.
Answer:
44 units² or 44 units squared
There really isn't a preference of units, like inches or meters, so you can add that in.
Step-by-step explanation:
Haha, this is what we're doing in class!
Okay, so the formula for a trapezoid is A= ½ (b1+b2) h
14= b1
8= b2
Add them... You get 22. Multiply that by the height, which is 4. You should get 88. Then divide by 2. You should get 44.
Here's some helpful notes:
I hope this was helpful!
Solution :
Demand for cola : 100 – 34x + 5y
Demand for cola : 50 + 3x – 16y
Therefore, total revenue :
x(100 – 34x + 5y) + y(50 + 3x – 16y)
R(x,y) = 

In order to maximize the revenue, set



.............(i)


.............(ii)
Solving (i) and (ii),
4 x (i) ⇒ 272x - 32y = 400
(ii) ⇒ (-<u>) 8x - 32y = -50 </u>
264x = 450
∴ 

So, x ≈ $ 1.70 and y = $ 1.99
R(1.70, 1.99) = $ 134.94
Thus, 1.70 dollars per cola
1.99 dollars per iced ted to maximize the revenue.
Maximum revenue = $ 134.94