Julia is standing 2 feet away away from a lamppost. she casts a shadow of 5 feet and the light make a 20 degree angle relative to the ground from the top of her shadow. Does the expression give you the height of the lamppost

What is the absolute value of the complex number -4-sqrt2i

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.

If x+y+z=0 what is the value of [tex] {x}^{3} + {y}^{3} + {z}^{3} [/tex]