How do I answer this question-

9514 1404 393

  18 cm

Step-by-step explanation:

Consider right triangle PCA.

The length PC is the hypotenuse of that triangle. It is also the radius of the circle: 15 cm.

The length AC is AB -CB = (27 -15) cm = 12 cm.

The length AP can be found from the Pythagorean theorem:

  AP² +AC² = PC²

  AP² = PC² -AC² = (15 cm)² -(12 cm)² = (225 -144) cm² = 81 cm²

  AP = √(81 cm²) = 9 cm

Since A is the midpoint of PQ, the length of PQ is double the length of AP:

  PQ = 2·AP = 2·9 cm

  PQ = 18 cm

c

step-by-step explanation:

it isn't d, because the interquartile range is from 27-57. and the interquartile range is basically half the data, it's pretty obvious.

it isn't b, because like i said earlier, the interquartile range is from 27-57. 57-27 is 30. the real range has to be longer

not a either. although it looks like it, 3/4 of the data is not greater than 27. but if c is wrong than this should be correct

the correct answer is c, because 13 is the point in which the plot starts

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: