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Alina [70]
3 years ago
14

How many three letter permutations are possible from the letters in the word ACTION? ("ACT" is not the same as "CAT" so order is

important.)
Mathematics
1 answer:
Alinara [238K]3 years ago
7 0

Answer:

120

Step-by-step explanation:

formula:

\frac{n!}{(n-h)!}=\frac{6!}{(6-3)!}=120

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Someone please help me asap
IrinaK [193]
Angle NLM is 78 degrees

A way to do this is to find the arc measure of NM and then divide it by 2 to find the angle of NLM

So first subtract

360-110=250

To find the remaining amount of the arc measures. Which is 250 degrees

Next set arc measures NM and ML together to 250 to find what x equals.

14x+16+9x+4=250

Combine like terms

23x+20=250

Subtract 20 from both sides

23x=230

Divide 23 from both sides

x=10.

Then substitute 10 for the equation representing the arc measure of NM.

14(10)+16

140+16

156

The arc measure of NM is 156 degrees


The angle NLM is an inscribed angle. Meaning that it is half of the arc that intersects.

156/2

78

Angle NLM is 78 degrees
7 0
3 years ago
The length of a rectangle is 19 centimeters less than six times its width. Its area is 20 square centimeters. Find the width and
anzhelika [568]

Answer:

If the width is 5 cm and the length is 4 cm it satisfies both parts.

6 x 4 = 24

24 - 5 = 19

5 x 4 = area of 20

Step-by-step explanation:

8 0
3 years ago
Find the mean, median, and mode of the following set of data:<br> {5, 7, 4, 7, 6, 7}
Xelga [282]

Answer:

Mean = 6

Median = 6.5

Mode = 7

Step-by-step explanation:

4, 5, 6, 7, 7, 7,

Mean: Add all numbers then divide by numbers added

36/6 = 6

Median: Number in the middle

6 + 7 = 13 13/2 = 6.5

Mode: The number that appears most often in a set

there are 3 sevens

7 0
3 years ago
How do you write 4.83 as a fraction?
ikadub [295]

Answer:

4 5/6 (the last option)

Step-by-step explanation:

to ensure and find out you can dive 5/6 then add 4 and you get 4.833333333333

8 0
4 years ago
Read 2 more answers
Covert 7 pi over 5 to degrees
hjlf

Answer:

Step-by-step

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians.

3 0
4 years ago
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