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miss Akunina [59]
3 years ago
9

A rectangular yard is 20 yards wide and 40 yards long. It is surrounded by a thick hedge that grows on the border of the propert

y, but completely within the boundaries of the yard. If the hedge covers an area of 171 square yards, what is the width of the hedge?
Mathematics
1 answer:
borishaifa [10]3 years ago
7 0

Answer:

W_{h}= 4.275yd

Step-by-step explanation:

Data

wide=20yd

length=40yd

Hedge area  A_{h}=171yd^{2}

If the area of rectangle is A=base * hight and our case L*W. then:

A_{h}=171yd^{2}=40yd*W_{h}

So W_{h}=\frac{A_{h} }{L} =171yd^{2}/40yd=4.275yd

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How to find the area
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1/2base times height
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3 years ago
B is the midpoint of AC. If Ab= x +5 and BC = 2x-11, find the measure of Ab.
LuckyWell [14K]

__________________________

Measurement of "AC" :

(x + 5) + (2x <span>− 11) ;
________________________

Find the measurement of "AB" [which is: "(x+5)" ]: 
______________________________________________
First, simplify to find the measurement of "AC" :
________________________________________
 </span>(x + 5) + (2x − 11) ;

=  (x + 5) + 1(2x − 11) ;

=   x + 5 + 2x − 11 ;

 → Combine the "like terms" ; 

   x + 2x = 3x ;
   
   5 − 11 = - 6 ;
______________
to get:  3x − 6 ; 
_______________
So,  (x + 5) + (2x − 11) =  3x − 6 ;
_______________________________
Solve for:  "(x + 5)"
_______________________________

We have: 
_______________________________

(x + 5) + (2x − 11) =  3x − 6  ;

Subtract:  "(2x − 11)" ;  from EACH SIDE of the equation ;
                                      to isolate "(x + 5)" on one side of the equation; 
                                      and to solve for "(x + 5)" ;
________________________________________________________
    →  (x + 5) + (2x − 11) − (2x − 11) =  (3x − 6) − (2x − 11) ;
  
         → (x + 5)  = (3x − 6) − (2x − 11) ;
_________________________________________________
  Note:  Simplify:  "(3x − 6) − (2x − 11)" ;

     →  (3x − 6) − (2x − 11)  ;
 
         =  (3x − 6) − 1(2x − 11) ;
 
         =   3x − 6 − 2x + 11 ;
__________________________
   →  Combine the "like terms" :
_____________________________
         +3x − 2x = 1x = x ;
  
          -6 + 11 = 5 ; 
_____________________________
To get:  x + 5 ; 

So we have:
______________________________
 x + 5 = x + 5 ; 
______________________________

So, x = all real numbers.

x = <span>ℝ </span>
4 0
3 years ago
2. Spin a spinner with 8 numbered sections of equal size.<br> Outcome<br> 2 3 Tu<br> Probability
kicyunya [14]

Answer:

Total number of sections= 8

p(red)= 3/8

p(yellow)= 2/8= 1/4

p(blue)= 3/8

3 0
3 years ago
Kyle's father is 67 ft. tall. Kyle is 5 feet tall. How many times taller is Kyle's father than him?​
MrRissso [65]

Answer:

13.5

Step-by-step explanation:

to find the answer you divide 67 and 5 and get 13.5. to check your answer, you can do 13.5 x 5 and get 67 because 67 is 13.5 times 5. why is kyles dad so tall though..

5 0
2 years ago
What is [ -14] ?<br><br> a. -14 <br> b. -7 <br> c. 7 <br> d. 14<br> e. 1/14<br>​
aleksklad [387]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
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