Answer:

Step-by-step explanation:
[...] if you can write the LHS as a perfect square, or if you can't spot a factorization of it right away, if and only if the discriminant  (or, if b is an even number, 1/4 of it) is zero.
 (or, if b is an even number, 1/4 of it) is zero.
<u>I see it! I see it!</u>
Stare at it for a while. First term is  , third term is
, third term is  , we are missing a double product, but we can play with k. For the LHS to be
, we are missing a double product, but we can play with k. For the LHS to be  you just need
 you just need  .
.
<u>I don't see it...</u>
Then number crunching it is. Set the discriminant to 0, solve for k

 
        
             
        
        
        
Side adjacent to the given angle: x
Diagonal=hypotenuse=20
cos (36° 42') =(side adjacent to angle 36° 42')/Hypotenuse
cos (36° 42')=x/20
Solving for x. Multiplying both sides of the equation by 20:
20 cos (36° 42')=20 (x/20)
20 cos (36° 42')=x
x=20 cos (36° 42')
x=20 (0.801775644)
x=16.03551288
x=16.04
Answer: Option D. 16.04
        
             
        
        
        
Answer:
It would be 490  or 108
Step-by-step explanation:
multiply the perimeter thats all
 
        
             
        
        
        
Given.
Radius of the Half sphere is 3 inches.
From the figure;
Radius of half sphere= Radius of cylinder= Radius of cone=3inches
Height of cone= 4inches.
Height of cylinder=6inches.
Volume of cone=(πr²h)/3
=(π3²×4)/3
=(12π) inch³
volume of cylinder= πr²h=π3²6=54π inch³
Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³
Total area of Composite figure=(12π +54π +18π) inch³
=84π inch³
=(84)× 22/7inch³
=12×22 inch³
=264inch³
Hope it helps...
Regards;
Leukonov/Olegion.
 
        
                    
             
        
        
        
Answer:
The answer is 121
Step-by-step explanation:
So basically it's like dividing 4 from 4 and you get 1
Then 8 from 4 and it would come out as 2 
And divide 4 once more from 4 and get 1 again 
4÷4=1
8÷4=2
4÷4=1
Then out the answers together and you got 121