Answer:44
Step-by-step explanation:
 
        
                    
             
        
        
        
Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.
Hence, option A is the correct answer.
This question is incomplete, the missing diagram is uploaded along this answer below.
<h3>What is the value of x?</h3>
Area of a rectangle is expressed as; A = l × b
Given that;
- Length of the rectangle l = 20in
- Breadth b = x
- Area A = 180in²
A = l × b
180in² = 20in × x
x = 180in² / 20in
x = 9in
Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.
Hence, option A is the correct answer.
Learn more about area of rectangle here: brainly.com/question/12019874
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Using a binomial distribution considering there's a 30% chance it will rain on any of the three days: 
<span>The probability of it raining on 0 days is (1)(0.7)(0.7)(0.7) = 34.3%. </span>
<span>The probability of it raining on 1 day is (3)(0.3)(0.7)(0.7) = 44.1%. </span>
<span>The probability of it raining on 2 days is (3)(0.3)(0.3)(0.7) = 18.9%. </span>
<span>The probability of it raining on 3 days is (1)(0.3)(0.3)(0.3) = 2.7%. </span>
<span>There's a 65.7% chance that it will rain at least once over the three-day period.</span>
        
             
        
        
        
4/7 5/8 6/9 are some possible answers
        
                    
             
        
        
        
<h3>
The dimensions of the given rectangular box are:</h3><h3>
L  =   15.874 cm  , B  =  15.874 cm   , H = 7.8937 cm</h3>
Step-by-step explanation:
Let us assume that the dimension of the square base = S x S
Let us assume the height of the rectangular base = H
So, the total area of the open rectangular box  
= Area of the base +  4 x ( Area of the adjacent faces)
=  S x S  +  4 ( S x H)   = S² +  4 SH   ..... (1)
Also, Area of the box  = S x S x H  =  S²H
⇒ S²H = 2000

Substituting the value of H in (1), we get:

Now, to minimize the area put :
 
Putting the value of S  = 15.874 cm in the value of H , we get:

Hence, the dimensions of the given rectangular box are:
L  =   15.874 cm
B  = 15.874 cm
H = 7.8937 cm