Answer:
8cm²
Step by step explanation:
A= ½×4cm×4cm
A= ½×16cm²
A= 8cm²
 
        
                    
             
        
        
        
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because 
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to 

 sq. units.
 
        
        
        
By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D) 
<h3>What is the missing side of the triangle according to the law of sines?</h3>
The law of sines presents a relationship between sides and <em>opposite</em> angles, which is described below:
9/sin 89° = LJ/sin 23°     (1)
LJ = 9 × sin 23°/sin 89°
LJ ≈ 3.517
By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D) 
To learn more on law of sines: brainly.com/question/21634338
#SPJ1
 
        
             
        
        
        
Answer:
Sin B = 5/13
Cos B = 12/13
tan A = 12/5
Step-by-step explanation:
Sin B = opposite side/ hypotenuse
Sin B = 5/13
Cos B = adjacent side / hypotenuse
          = 12/13
tan A = opposite side /adjacent side
           = 12/5
 
        
             
        
        
        
Answer:
36π
Step-by-step explanation:
The area of a circle is given as:

where r = radius of the circle
The area of a sector of a circle is given as:

where α = central angle in radians
Since  is the area of a circle, A, this implies that:
 is the area of a circle, A, this implies that:

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.
Therefore, the area of the circle, A, is:

The area of the circle is 36π.