Kyle is drawing a triangle on poster board. the first segment he draws is 11 inches in length, and the second segment is 14 inches long. the measure of the angle between those two segments is 65°. which best describes the length of the third segment?

Using the law of cosines we can solve for the length of the third side:

a^2 = 11^2 + 14^2 -2*11*14*cos(65)

a^2 = 186.8336

The third side is 13.67 inches long. ( Round the answer as needed)

The answer would be less than 25 inches.

the answer would be c

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.