Drag each set of side lengths to show whether they can or cannot make a triangle, or if there is not enough information to tell.
a. 4cm, 6cm, 10cm
b. 2cm, 3cm, 10cm
c. 1cm, 1cm, 12cm
d. 5cm, 8cm, 10cm
e. 7cm, 7cm, 12cm
f. 6cm, 6cm, 12cm

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

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.

Cone a has a surface area of 384 ft2 and cone b has a surface area of 96 ft? . what is the ratio of their volume?