Problemas
44. Right-triangle Delta RST will be rotnted about the x-axis to form a right cinenlar conc. How long in coordinate units, is the radius of the cono's base? R G. 3 H. J.6 K. 9
Roztwór
Beatriz
experto · Tutor durante 3 años
4.5
(277 Votos)
Respuesta
To find the radius of the cone's base, we need to determine the length of the shorter leg of the right triangle
.Given that the triangle is reflected about the x-axis, the coordinates of the vertices will change as follows:- R(-3, 0) will become R'(-3, 0)- S(0, 3) will become S'(0, -3)- T(3, 0) will become T'(3, 0)Now, we can use the distance formula to find the length of the shorter leg of the triangle:Distance between R' and S' =
Distance between R' and S' =
Distance between R S' =
Distance between R' and S' =
Distance between R' and S' =
Distance between R' and S' =
Therefore, the radius of the cone's base is
coordinate units.Answer: G. 3