If the length of a is 6, the length of b is 4, and the length of c is 7, what is the measure of angle B

B = 34.77°

Step-by-step explanation:

For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:

This can be rearranged to find the angle B:

With lowercase letters being sides and uppercase being angles.

We simply plug in the sides and solve:

0.8214 = Cos (B)

Then you use inverse cosine to get angle B alone.

B = 34.77°

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"