Answer:
AB = 8.857 cm
Step-by-step explanation:
Here, we are given a <em>right angle</em>  in which we have the following things:
 in which we have the following things:

Side <em>BC </em>is the hypotenuse here.
We have to find the side <em>AB</em>.
Trigonometric functions can be helpful to find the value of Side AB here.
Calculating  :
:
Sum of all the angles in  is
 is  .
.

We know that <em>cosine </em>of an angle is:

So, side AB = 8.857 cm
.
 
        
             
        
        
        
She bought 4 brushes at $3 each 
And 8 tubes of paint at $ .50 each 
3x4=12 
.50x8=4 
12+4=16
        
             
        
        
        
Answer:
Probability that component 4 works given that the system is functioning = 0.434 .
Step-by-step explanation:
 We are given that a parallel system functions whenever at least one of its components works.
There are parallel system of 5 components and each component works independently with probability 0.4 .
Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>
<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>
Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;
P(A/S) =  {Means P(component 4 working and system also working)
divided by P(system is functioning)}
   P(A/S) =  {In numerator it is P(component 4 working) and in
                 denominator it is P(system working) = 1 - P(system is not working)}
Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 -  .
 .
  Hence, P(A/S) =  = 0.434.
 = 0.434.    
 
        
             
        
        
        
Answer:
4 11/12
Step-by-step explanation:
4 x 2/3 = 8/12
3 x 5/4 = 15/ 12
8/12 + 15/12 = 23/12 = 1 11/12 + 3 = 4 11/12