sin45=5/x so x is 5/(sin45)
y is 5/(tan45)
question 5 then you just go x= (9sqrt(2)/2)/sin45
i don’t have a calculator rn so just plug it into it 
 
        
                    
             
        
        
        
Answer:
a
  
b
 
Step-by-step explanation:
From the question we are told that 
 The mean value is 
 The standard deviation is  
Considering question a 
The sample size is  n = 9 
Generally the standard error of the mean is mathematically represented as 
       
=>    
 
=>  
Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as 
       

      
=>   
From the z table  the area under the normal curve to the left corresponding to  2.5  is 
     
=> 
=> 
Considering question b 
The sample size is  n = 40
    Generally the standard error of the mean is mathematically represented as 
       
=>    
 
=>  
Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as  
        
=> 
=>  
From the z table  the area under the normal curve to the left corresponding to  5.2715 and 
=>  
So
    
=> 
 
        
             
        
        
        
Answer:
I think the 1st one im not really sure tho
Step-by-step explanation:
 
        
             
        
        
        
Answer: 1, 1&1/4, 3/2, 1&6/8
        
             
        
        
        
Answer:
The length of the garden should be 
Step-by-step explanation:
Let
x------> the length side of the garden
we know that
The area enclosed by the fence is equal to
