What is the reciprocal of 2/3 ? how can you be sure it is the reciprocal?

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 is the value of x in the following equation. -x ^3/2 = -27

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -f(x)+4