Asoccer balls outer covering is made by stitching together 12 regular pentagons and 20 regular hexagons both regular polygons have a side length of 4cm. the pentagons have an apothem of 3.06cm. to the nearest whole number what is the total surface area of the soccer ball

How many real and imaginary solutions does the equation x^2-3x=-2x-7 have?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Given ab and cb are tangents of p, and m =10°. what is the measure of abp?