what is the approximate area of sector tsv?
round the answer to the nearest tenth.

a. 3.1 m^2

b. 2.3 m^2

c. 1.1 m^2

d. 0.5 m^2

C)  The area of the sector TSV  = 1.1 sq m.

Step-by-step explanation:

Here, the angle subtended by TSV at  the center of the circle  = 3 radians.

1 Radians = 57.2958°

So, 3 radians   = 3 x 57.2958 = 171.887 °

⇒The angle of the sector TSV = 171.887 °

Now, the angle of any sector of a circle with angle Ф at the center  

=  

Here, r  = 0.87 m

So, the area of the sector TSV  =  

or, the area of the sector TSV  = 1.13 sq m.

Now, rounding off the area to the nearest tenth ,we get:

The area of the sector TSV  = 1.1 sq m.

b

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions