The ping pong ball is a sphere and has a volume of 1.77in. what is the diameter of the ping pong ball?

d =1.501060821 in

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The volume is 1.77 in^3

1.77 = 4/3 (3.14) r^3

1.77 = 4.1866666 r^3

Divide each side by 4.18666666

1.77/4.18666666 = r^3

.422770701 = r^3

Take the cube root of each side

(.422770701)^(1/3) = (r^3)^1/3

.75053041 = r

But we want to find the diameter.  The diameter is twice the radius.

d= 2r

d = 2(.75053041)

d =1.501060821 in

angle q= 92 degree

step-by-step explanation:

the solution is in the picture

when a quadrilateral is inscribed in a circle, the opposite angles are supplement to each other. in other words, the sum of the 2 angle is 180 degree

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".