Atwo-dimensional shape is rotated to form the solid object shown in the figure. this two-dimensional shape can be created by rotating a about its base. another two-dimensional shape that can give this shape is a rotated about a line joining two opposite vertices.

1st blank:
a. cylinder
b. pyramid
c. rhombus
d. trapezoid

2nd blank:
a. hexagon
b. pentagon
c. rectangle
d. triangle

Find a number such that if you add 8 and divide the result by 4 you will get the same answer as if you subtracted 3 from the original number and divided by 2

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

The circle below is centered at the point (3, 1) and has a radius of length 2. what is the equation?