Is this the correct surface area? explain how you know

  No. The actual total surface area is double that: 108 in².

Step-by-step explanation:

The area Charlotte has computed is the area of the faces you can see. There are three other faces you cannot see that are the same size. So, the total area is double the amount Charlotte has computed.

  A = 2(LW +H(L+W)) = 2(6·4+3(6+4)) = 2(24+30) = 2(54) = 108 . . . . sq in

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4

if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.