What is the approximate area of the shaded sector in the circle shown below? A. 150.8 cm2 B. 6.28 cm2
C. 37.7 cm2
D. 3.14 cm2

C

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

(central angle is equal to the measure of the arc, that is 30° )

A = πr² ×

   = π × 12² ×

   = 144π ÷ 12

   = 12π

    ≈ 37.7 cm² ( to the nearest tenth )

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32