<u>Given</u>:
Given that the triangular prism with height 10 inches.
The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.
We need to determine the surface area of the prism.
<u>Surface area of the prism:</u>
The surface area of the prism can be determined using the formula,

where b is the base and h is the height of the triangle.
s₁, s₂, s₃ are the side lengths of the triangle and 
H is the height of the prism.
Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;




Thus, the surface area of the triangular prism is 360 square inches.
Hence, Option b is the correct answer.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Given that X, the hip width of men is N(14.2, 0.9)
i.e. we have  is N(0,1)
 is N(0,1)
Seat width an airline uses = 16.7 inches.
a) the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.7 in

b) Here sample size = 126
Each person is independent of the other
the probability that these men have a mean hip breadth greater than 16.7
= <0.00001
 <0.00001
c) part a is important since even a single person not fitting will cause embarassment and leads to customer dissatisfaction.
 
        
                    
             
        
        
        
There are three more angles with the same measure. A pair of corresponding angles and a pair of vertical angles.
        
                    
             
        
        
        
Let:
v = Olga's speed
t = the time Anna spent going to school (3 km/hour)
t/2 = the time Anna spent running back home with speed of 6 km/hour
So, t + t/2 = 3t/2 is the total time
In the meantime distance = speed*time and the both made the same distance we can put it as:
3t + 6*(t/2) = (3t/2)*v
6t = (3/2)tv divide both sides by t 
(3/2)v = 6
v = 2*6/3
v = 4 km/hour
Olga's speed was 4 km/hour.
        
             
        
        
        
Answer:
18
Step-by-step explanation:
6*3=18