Amy has three pieces of string of length 16 cm, 56 cm and 24 cm respectively. For an art project, she wants to cut the three lengths of string into smaller pieces such that all the pieces are of equal length, with no string left over. Find the greatest length that each piece of string can be, in cm.

8cm

Step-by-step explanation:

Given  three pieces of string of length 16 cm, 56 cm and 24 cm respectively. To get the the greatest length that each piece of string can be if she wants to cut the three lengths of string into smaller pieces such that all the pieces are of equal length, with no string left over, we will have to find the greatest common factor for the three lengths

16 = 2 * 8

56 = 7 * 8

24 = 3 * 8

Since 8 is common to all the factors, hence the greatest common factor is 8.

Hence the greatest length that each piece of string can be, in cm is 8cm

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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