A school principal is mapping out some new features for a triangular playground. He sketches the playground on grid paper. The coordinates of the vertices of the playground are (1, 10), (−5, 2), and (7, 2).   The principal wants to plant a tree at the circumcenter of the playground. What are the coordinates of the tree?   ( __,__ )

An engineer scale model shows a building that is 3 inches tall. if the scale is 1 inch = 600 feet, how tall is the actual building?

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?

Find the tenth term in the following geometric sequence. 8, 4, 2, 1, . .a) 13b) 0.0078c) 0.0156d) 12.5