The base of a regular pyramid is a hexagon. the figure shows a regular hexagon with center c. an apothem is shown as a dashed segment perpendicular to an edge and is labeled as a. a dashed line segment joins the center with the left vertex of the edge perpendicular to the apothem. this segment has a length of 8 centimeters. the angle formed by the edge and the segment measure 60 degrees. what is the area of the base of the pyramid? enter your answer in the box. express your answer in radical form.

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

Which of the following best describes the delian problem?

Which statements about the system are true? check all that apply. y =1/3 x – 4 3y – x = –7 the system has one solution. the system consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.