Use the Pythagorean theorem. The equation for this right triangle would be a^2+b^2=c^2. Since you have one leg and the hypotenuse, you can plug these into the equation. It would be 7^2+b^2=12^2. Do the exponents. You will get 49+b^2=144. You need to get b by itself so subtract each side by 49. You get the equation b^2=95. Square root each side to get b=9.746. This rounds to 9.7. So the answer is A. Hope this helps! ;)
        
                    
             
        
        
        
Answer:
cot(∅) = 
Step-by-step explanation:
tan ∅ and cot ∅ are inverse functions
therefore the inverse of 
tan ∅ = √15 / 10
is equal to 
cot ∅ = 10 / √15
Rationalizing the denominator 
 *
 * 
cot ∅ = 
 
        
             
        
        
        
Answer:
Step-by-step explanation:
For this case we must determine the inverse of the following function:

Step 1:
We would write
 or
 or 
Step 2:
We clear x: 


Step 3:
"x" and "y" are exchanged:

The inverse is:

 
        
             
        
        
        
Answer:
M, B, A, T, K are the points of the statement: x<y
Step-by-step explanation:
oh dis is easy peasy lemony squeezy yes big bran time now onto the question :D
So the X has to be smaller than the Y. right?
ok, let's go with point M first shall we?
Coordinates are: 0, 6
is X smaller than Y? yes. yes indeed it is...
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Point N:
Coordinates are: 3, 3
Is X smaller than Y? no. No they are not.
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Then you continue doing this for the rest of the points. Remember: Negatives are a bit tricky! -3 may not be smaller than -6 :)
 
        
                    
             
        
        
        
Width is 3.75. the length is 11.25. Hope this helps!