Answer:
NO triangle exists.
Step-by-step explanation:
Given that the sides of the triangle are  a=43 ,b=82 , and c=28
To solve for unknown angles of the triangle
PLease refresh the triangle rule of inequality that the sum of any two sides is always greater than the third side
Before solving the triangle, let us check whether this is true.
a+b >c
b+c>a
But a+c is not greater than b.
Hence there cannot be any real triangle with these sides given.
Answer is no triangle exists.
 
        
                    
             
        
        
        
Answer:
31:150
Step-by-step explanation:
First of all we convert the hours into minutes:
5×60=300
which gets us 42:300, which we can simplify to:
31:150
and is 31 is prime and 150 can't be divided into it without a remainder, it is in it's simplest form and it is the answer.
 
        
                    
             
        
        
        
Answer:
The answer is f(x) will eventually exceed g(x) because f(x) is an exponential function.
I just took the test and got it right.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The 99% confidence interval to estimate the mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams. This means that we are 99% that the true mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams.
Step-by-step explanation:
We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:
 level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of  .
.
So it is z with a pvalue of  , so
, so 
Now, find M as such

In which  is the standard deviation of the population and n is the size of the sample.
 is the standard deviation of the population and n is the size of the sample.
 
The lower end of the interval is the mean subtracted by M. So it is 500 - 25.90 = 474.10 milligrams.
The upper end of the interval is the mean added to M. So it is 500 + 25.90 = 525.90 milligrams
The 99% confidence interval to estimate the mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams. This means that we are 99% that the true mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams.