See the picture to better understand the problem
we know that
in the triangle ABC
∠A+∠B+∠C=180°
∠C=180-(86+69)-----> ∠C=25°
Applying the law of sines
b/sin B=c/sin C------> b=c*sin B/sin C-----> b=82*sin 69/sin 25
b=181.14 ft
the answer is181.14 ft
 
        
        
        
Answer:
A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis. 
Based on this the correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis 
Step-by-step explanation:
We have the following info given from the problem:
 the random sample of voters selected from the town
 the random sample of voters selected from the town
 represent the proportion of residents favored construction
 represent the proportion of residents favored construction
 represent the value desired to test.
 represent the value desired to test.
A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis. 
Based on this the correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis 
And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:
 (1)
 (1)  
And with the data given we have:
 
  
 
        
             
        
        
        
Um.... 368 369 370 371 372 372 374 375 376 377 378 379 etc
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
A = 2(½(20)(15)) + 16(15 + 20 + 25) = 1,260 in²