What transformation matrix would result in a 300 degrees counterclockwise rotation about the origin? i cant type all of the options, but they all look like fractions inside brackets, some with square root signs.

For rotation by an angle, θ, in the counter-clockwise direction about the origin, the transformation matrix is given by 
     

The given angle is θ=300°. 

The values we need are
     
     

Substituting these into the given transformation matrix, we have
     

The area of ​​the triangle is 10 and the semicircle is 39.25

The total area is 49.25cm²

Step-by-step explanation:

Triangle area:

A=(b•h)/2

A=(10•2)/2

A=20/2

A=10

Semicircle area

A=(π•r²)/2

π=3.14 and r=5

A=[3.14•(5²)]/2

A= (3.14•25)/2

A=78.5/2

A=39.25

Area total

At= triangle area+semicircle area

At=39.25+10

At=49.25cm²