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Answer with explanation:</h2>
The number of letters in word "ALGORITHM" = 9
The number of combinations to select r things from n things is given by :-

Now, the number of combinations to select 6 letters from 9 letters will be :-

Thus , the number of ways can six of the letters of the word ALGORITHM=84
The number of ways to arrange n things in a row :
So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7
Number of ways to arrange 9 letters if "GOR" comes together :-

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040
Answer:
6 video games
Step-by-step explanation:
divide 17 by 2.75
Answer:
x = 10
Step-by-step explanation:
The total measures of a circle must add up to 360°. In the diagram given there are two angles that are not given, however, both of these should be equal to each other. That means that the sum of the other two angles ('5x - 5' and 93°) must be equal to the other angle of the same measure (138°):
5x - 5 + 93 = 138
Combine like terms: 5x + 88 = 138
Subtract 88 from both sides: 5x + 88 - 88 = 138 - 88 or 5x = 50
Divide by 5: 5x/5 = 50/5 or x = 10
Answer:
The approximate height of the paint can is 8.2 in
Step-by-step explanation:
we know that
The volume of the cylinder ( can of paint) is equal to

we have



Substitute the values and solve for h
231=(3.14)(3)^{2} h
h=231/(3.14*9)=8.2 in