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WARRIOR [948]
2 years ago
11

a horticulturalist is building a fence around a rectangular garden using the side of a building for one side of the enclosure. s

he has 81 feet of fencing. what should the dimensions of the enclosre be so that she can maxmize the gardens area?
Mathematics
1 answer:
Harman [31]2 years ago
5 0
The garden area is maximum when the enclosure is a square.
If a is the length of the side of the square then the length of the building is also a.
The perimeter length is 4a made up of 81+a feet, so 81+a=4a and 3a=81 making a=27 feet.
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Given: O is the midpoint of line MN<br> OM=OW<br> Prove: OW=ON
grigory [225]
Given:
O is the midpoint of line MN
OM = OW

To prove:  OW = ON

<u>Statement</u>                                 <u>Reason</u>
1> OM = OW  -------------------------> Given
2> OM = ON ---------------------------> O is the midpoint of line MN
                                                           i.e Point O bisects line MN
3> OM = OW --------------------------> From statement <1>
4> ON = OW  -------------------------> OM = ON (Statement <2>)
     OW = ON
              
                                                                    <u>proved!!</u>
   


6 0
3 years ago
Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5).
mamaluj [8]

Hello : let  A(3,0)    B(0,-5)<span>
the slope is :   (YB - YA)/(XB -XA)
(-5-0)/(0-3)  = 5/3
</span>

<span> an equation, in the slope intercept form is : y - (-5) = (5/3)(x-0)
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6 0
3 years ago
Please help!!!!!! 50 points!!
lesantik [10]

Area of first rectangle= 5×2=10units

Area of second rectangle= 3×2= 6 units

Area of third rectangle = 5×2= 10 units

Now,

Total area of figure = 10+6+10= <u>26units✓</u>

8 0
3 years ago
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For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12
sleet_krkn [62]

Answer: p = 6


Step-by-step explanation:

HI !


 px + 3y - ( p-3)=0


a₁ = p , b₁ = 3 , c₁ = - (p-3)


=====================


12x + py - p=0


a₂ = 12  , b₂ = p , c₂ = -p


since , the equations have infinite solutions , 


a₁/a₂ = b₁/b₂ = c₁/c₂


p/12 = 3/p =  p-3/p



--------------------------------------


p/12 = 3/p


cross multiply ,


p² = 36


p = √36

 p = 6


for the value of p = 6 , the equations will have infinitely many solutions





5 0
3 years ago
E<br>_ = 3 what is e<br>2 <br>im giving good
notsponge [240]

Answer:

e=2

Step-by-step explanation:

multiply both sides by 2 to get the variable by itself.

e=6

3 0
2 years ago
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