A volume is described as follows:

1. the base is the region bounded by\( y = 3 - \frac { 1 } { 27 } x ^ { 2 } \)and\( y = 0 \)

2. every cross section parallel to the\( x \)-axis is a triangle whose height and base are equal.

Find the volume of this object.

volume\( = \)

Solve the triangle given to the right.

A\( = \square ^ { \circ } , B = \square ^ { \circ } , C = \square ^ { \circ } \)

(Round the final answers to one decimal place as needed. Round all intermediate values to four decimal places as needed.)

Given\( B ( 5 , - 1 ) \), what are the coordinates of B' for the dilation with scale factor 2 and center at the origin?

\( B ^ { \prime } ( \)type your answer... Previous\() \)

Type TRUE or FALSE.

A dilation is a similarity transformation in which the corresponding angles are congruent.

type your answer...

A dilation is a similarity transformation in which the corresponding sides are congruent.

type your answer...

A dilation is the only transformation that results in congruent corresponding angles.

type your answer...

What What are the vertices of\( D _ { 15 } ( \triangle A B C ) \)

\( A ^ { \prime } ( - 1,2 ) , B ^ { \prime } ( 2,1 ) , C ^ { \prime } ( - 2 , - 2 ) \)

\( A ^ { \prime } ( - 3.5,5.5 ) , B ^ { \prime } ( 5.5,3.5 ) , C ^ { \prime } ( - 5.5 , - 5.5 ) \)

\( A ^ { \prime } ( - 1.5,3 ) , B ^ { \prime } ( 3,1.5 ) , C ^ { \prime } ( - 3 , - 3 ) \)

\( A ^ { \prime } ( - 3,6 ) , B ^ { \prime } ( 6,3 ) , C ^ { \prime } ( - 6 , - 6 ) \)