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VashaNatasha [74]
2 years ago
10

The measure of central angle YCZ is 80 degrees. Circle C is shown. Line segments X C, W C, Y C, and Z C are radii. The length of

X C is 9. Angle Y C Z is 80 degrees. Sectors X C W and Y C Z are shaded. What is the sum of the areas of the two shaded sectors? 18 units2 36 units2 45 units2 81 units2

Mathematics
2 answers:
goblinko [34]2 years ago
8 0

Answer:

b.) 36

Step-by-step explanation:

answer on edge 2020

hope this helps!!!

Nana76 [90]2 years ago
4 0

Answer:

The sum of the areas of the two shaded sectors is 36\pi\ units^{2}

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of a circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

in this problem we have

r=9\ units

substitute

A=\pi (9)^{2}=81 \pi\ units^{2}

Remember that

360\° subtends the complete circle of area equal to 81 \pi\ units^{2}

so

By proportion

Find the area of the two shaded sectors

\frac{81\pi }{360}=\frac{x}{2*80}\\ \\x=160*81\pi/360\\ \\x=36\pi\ units^{2}

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Read 2 more answers
Major help and if you can, please explain how you got your answer
hjlf
The correct answer is:  [A]:  " 384 in² " .
_______________________________________________________

Explanation:
______________________________________________________
The formula for the surface area of a cube is:
______________________________________________________

             →   A   =   6a²  ;
______________________________________________________             →   in which:  
______________________________________________________
                            A  =  surface area of the cube— for which we shall solve ; 
                                               (in "square units" ; or, " in² " ; in our case) ; 

                            a = side length = " 8 in " (given); 
    
   →  Note:  A cube has all equal side lengths.

   →  The "6" in the formula accounts for "6 sides" of a cube.

_______________________________________________________

→  To solve for the surface area of the cube; plug in our known value(s);
                &  solve;  as follows:
_______________________________________________________
                          →  A  =  6 a²  ;

                                    =  6 * (8 in)²  ;

                                    =  6 * 8² * in² ;

                                    =  6 * 8 * 8 * in² ; 

                                    =  48 * 8 * in² ; 

                                    =  384  in²  ;
_______________________________________________________
The answer is:  " 384 in² " ;  

→  which is:  Answer choice:  [A]:  " 384 in² " .
_______________________________________________________
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The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .
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