Answer:
(6x+10)°=(6x+10)°[vertically opposite angle]
now,
6x+10+10x+10=180°[being cointerior angle]
16x=180-20
x=160%16
x=10°
Answer: if objects are similar, they are just that; similar
Step-by-step explanation: when 2 objects are similar it means that they are the same shape, but not necessarily the same size. For example, a rubix cube is a cube, and so is a box that has been delivered by FedEx, but that does not mean that they are the same size. However, they are the same shape. So when 2 objects are similar, then they have the same shape, but not the same size.
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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THE FLAT FEE OF $60 WOULD BE THE Y INTERCEPT BECAUSE THE $5 IS A RATE OF CHANGE DEPENDENT ON THE AMOUNT OF GIGABYTES THE PERSON USES.