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jarptica [38.1K]
3 years ago
9

Find the length of the third side. If necessary, round to the nearest tenth.

Mathematics
1 answer:
gulaghasi [49]3 years ago
8 0
Answer might be: 24
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A poster is to have a total area of
Neko [114]

Answer:

Dimensions of printed area

w = 8.95 cm

h = 13.44 cm

A(max) = 120.28 cm²

Step-by-step explanation:

Lets call  " x "  and  "y" dimensions of the poster area  ( wide and height respectively) . Then

A(t)  =  180 cm²  = x*y      y  =  180/ x

And the dimensions of printed area is

A(p) = ( x - 2 ) * ( y - 3 ) then  as y  = 180/x we make A function of x only so

A(x)  =  ( x - 2 ) * ( 180/x  - 3 )     ⇒  A(x)  = 180 - 3x - 360/x +6

A(x)  = - 3x  - 360 /x + 186

Taking derivatives on both sides of the equation we get:

A´(x)  = -3  + 360/ x²  

A´(x)  = 0    -3  + 360/ x²  = 0     -3x²  +  360  = 0

x²  = 120       ⇒   x = √120       x  =  10.95 cm

And  y  =  180 / 10.95 ⇒         y  =  16.44 cm

Then x and y are the dimensions of the poster then according to problem statement

w of printed area is    x - 2  =  10.95 - 2   =  8.95 cm

and  h  of printed area is  y - 3  = 16.44 - 3  = 13.44 cm

And the largest printed area is  w * h  = ( 8.95)*(13.44)

A(max) = 120.28 cm²

   

 

7 0
3 years ago
What is the diameter of a circle that has an area of 49pie
tester [92]
There would not be one
6 0
3 years ago
Read 2 more answers
Is the following function an even function, odd function, or neither?
expeople1 [14]

Answer:

I think neither but i suggest you not take my word for it.

Step-by-step explanation:

3 0
3 years ago
Find the slope (m) and the y-intercept (b) of the given line on the graph.
rusak2 [61]

Answer:

Slope: 1; Y-int: (0,2)

Step-by-step explanation:

The slope is rise over run, the equation is y two minus y one divided by x two minus x one.

(3-2) / (1-0) = 1

The y-int. is where the line crosses the y-axis, or the x value is 0.

Hope this helps :)

8 0
3 years ago
How many seconds are in 1 and 1/3 of a minute​
grandymaker [24]

Answer:

80 seconds

Step-by-step explanation:

6 0
3 years ago
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