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tatuchka [14]
3 years ago
6

which of the following statements must be true based on the diagram below? select all that apply. (diagram is not to scale)

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

__

RU is a perpendicular bisector

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An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile the width of the lake is 1/5 the length of
DIA [1.3K]
Answer:  The dimensions are:   " 1.5 mi.  ×  ³⁄₁₀  mi. " .
_______________________________________________
             { length = 1.5 mi. ;  width =  ³⁄₁₀  mi. } .
________________________________________________
Explanation:
___________________________________________
Area of a rectangle:

A = L * w ; 

in which:  A = Area = (9/20) mi.² ,
                L = Length = ?
                w = width = (1/5)*L = (L/5) = ?
________________________________________
  A = L * w ;  we want to find the dimensions; that is, the values for
                         "Length (L)"  and "width (w)" ; 
_______________________________________
Plug in our given values:
_______________________________________
 (9/20) mi.² = L * (L/5) ;  in which: "w = L/5" ; 
 
     → (9/20) = (L/1) * (L/5) = (L*L)/(1*5) = L² / 5 ;
   
          ↔  L² / 5  = 9/20 ;
 
            →  (L² * ? / 5 * ?) = 9/20 ?    

                →     20÷5 = 4 ;  so; L² *4 = 9 ;
 
                   ↔    4 L² = 9 ; 
 
                   →  Divide EACH side of the equation by "4" ;
           
                   →   (4 L²) / 4 = 9/4 ;
______________________________________
           to get:  →  L² = 9/4 ; 
 Take the POSITIVE square root of each side of the equation; to isolate "L" on one side of the equation; and to solve for "L" ;
___________________________________________          
 
     →   ⁺√(L²)   =   ⁺√(9/4) ;

    →   L  =  (√9) / (√4) ; 

    →  L = 3/2 ; 

    → w = L/5 = (3/2) ÷ 5 = 3/2 ÷ (5/1) = (3/2) * (1/5) = (3*1)/(2*5) = 3/10;
________________________________________________________
Let us check our answers:
_______________________________________
(3/2 mi.) * (3/10 mi.) =? (9/20) mi.² ??

→ (3/2)mi. * (3/10)mi.  =  (3*3)/(2*10) mi.² = 9/20 mi.² ! Yes!
______________________________________________________
So the dimensions are: 

Length = (3/2) mi. ;  write as: 1.5 mi.

width = ³⁄₁₀ mi.
___________________________________________________
or; write as:  " 1.5 mi.  ×  ³⁄₁₀ mi. " .
___________________________________________________
7 0
3 years ago
Need help!!!!!! Very much stuck!
vovikov84 [41]
Give the guy above Brainly and me just a like he is correct
4 0
3 years ago
HELP PLEZZZZ IT WOULD REALLY MEAN ALOT
Butoxors [25]

Answer:

The answer is D.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
the ratio of horses to chickens on a farm is 9:4. If there are a total of 169 animals, how many chickens are on the farm?
Evgesh-ka [11]

Answer:

<h2> 52 chickens</h2>

Step-by-step explanation:

Step one:'

given

we are told that the total number of animals is 169

the ratio of horses to chickens= 9:4

total ratio= 13

Required:

number of chickens

Applying part to all principle, let the number of chickens be x

4/13=x/169

cross multiply

4*169=13*x

divide both sides by 13

x=4*169/13

x=676/13

x=52

There are 52 chickens

6 0
3 years ago
What is the area of this rectangle? 10units 20units 24units 48 units
aksik [14]

Answer:

24 units ^2

Step-by-step explanation:

The base runs from 3 to 7 so the base is 7-3 = 4 units

The height runs from 2 to 8  so the height is 8-2 = 6 units

The area is

A = bh

   = 6*4 = 24 units ^2

4 0
2 years ago
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