Answer:
36 ÷ a
55 - b
18 + c
49 x d
e ÷ 62
Step-by-step explanation:
The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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Complete Question
(Image Attached)
The sale price S (in dollars) of an item is given by the formula
S=L−rL , where L is the list price (in dollars) and r is the discount rate.
Since, S = L -rL
rL = L -S
r = 
r = 
Since, the listed price of the shirt is $30, we have to find the discount rate.
Therefore, r =
is the discount rate.
Answers:
Common angles: ΔBGC and ΔGDC
Common sides: ΔGE and ΔAG
A common angle is a triangle that exists in two or both of the triangles.
Here, the common angles should be ΔBGC and ΔGDC.
These two angles are triangles, and they consist in both triangles.
A common side is when two angles have one vertex in the same area.
Here, we see that the common sides are ΔGE, because they intersect.
Another common side we see here is ΔAG, because they also intersect.
Hope this answer helps you!