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Korolek [52]
3 years ago
11

In the diagram, line p is parallel to line q.

Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

2x-11=73

2x=73+11

2x=84

x=84/2

x=42

again,

y=48

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Answer:

percent means  <u>per hundred </u>

Between the 100 squares, 60 of them are shaded

so you do 60/100

it's kind of like correcting tests, you have 100 questions, you got 80 of them right so its going to be 80/100

when you calculate percentage, you do the fraction x 100

so it's 60/100 = 0.6 x100 = 60%

hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

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A company plans to manufacture a rectangular bin with a square base, an open top, and a volume of 13,500 in3. Determine the dime
maks197457 [2]

Answer:  A(min)  =  2700

Step-by-step explanation:

Let   x   the side of the square base,   and h the height of the bin then

V(b)  = x²*h             ⇒  h  = 13500/x²      (1)

Total area of the bin  = area of the base  + 4 sides

each side x*h

A(b)  =  x²  +  4*x*h       ⇒

Area of the bin as fuction of x . From equation (1)

A(x)  =  x²  +  4*x*(13500/x²         A(x)  =  x²  + 54000/x

Taking derivatives both sides of the equation:

A´(x)   =  2*x  -   ( 54000/x²)

A´(x)  =  0        ⇒          2*x  -   ( 54000/x²)  =  0

( 2*x³   -54000)/x²                ⇒ 2*x³   - 54000  =  0

x³  -  27000 = 0

x  =  30 in

and   h  =  13500/x²          ⇒    h  = 13500/900

h  =  15  in

And finally the surface area is  

A(min)  =  x²   +   54000/x        ⇒   A(min)  =  900  +  1800

A(min)  =  2700 in²

5 0
3 years ago
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