Answer:
$26.88
Step-by-step explanation:
Cost of a ply wood = $0.56 per square foot
If Dakota wants to build 8 birdhouses and he needs to paint 6 square feet of plywood for each birdhouse, then the total area fir the 8 bird house will be expressed as:
8 * 6
= 48 sq. feet
Hence the area of 8 bird houses is 46sq. feet
Next is to calculate the amount it will cost to make the 8 bird houses.
Since 1 sq. foot = $0.56
48 sq. feet = y
cross multiply
y * 1 = 48 * 0.56
y = 26.88
Hence it will cost Dakota $26.88 to make hid bird houses
A cylinder has a cross section of a circle as well as the sphere.
Answer:
39 in.
Step-by-step explanation:
As it's a regular hexagon all sides are congruent.
Therefore
7x + 4 = 8x - 1
4 + 1 = 8x - 7x
x = 5.
So the required length is 7(5) + 4 = 39 in.
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
Answer:
cos theta = adj / hyp is positive (+/+)
Step-by-step explanation:
In this open interval, the hypotenuse (radius) is always positive, whereas the adjacent side is positive and the opposite side negative.
in this interval:
sin theta = opp / hyp is neg (-/+)
cos theta = adj / hyp is positive (+/+)
tan theta = opp / adj = (-/+) : negative