Which transformation(s) produce an image that is congruent to the given figure?

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

What numbers are included in the set of integers? what numbers are not included?