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gogolik [260]
2 years ago
12

How many different ways are there to arrange the letters of the word PRISM?

Mathematics
1 answer:
Advocard [28]2 years ago
6 0

Answer:

5! (5 factorial) or 120 ways

Step-by-step explanation:

You can arrange P different ways. R can be arranged only 4 different ways because Pwill be in one of the spots. Next, you can arrange "I" 3 different ways because P and R are already arranged in 2 spots, meaning you cant put "I" there. Next, S can be arranged in 2 different ways for the same reason. And lastly, M can only be arranged in 1 different way because the other spots are taken.

You can put it in any order. For example, M could be arranged 5 ways and P could be arranged in 1 way. You will still get 120 ways

Hopefully this helped. The explanation might be a bit confusing but I tried my best. I'm not good with explaining my solutions but I always try

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The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures (5x +19)º
lapo4ka [179]

Answer:

third angle = (-6x + 161)°

Step-by-step explanation:

180° = (x)° + (5x + 19)° + third angle →

180° = (6x + 19)° + third angle →

180° – (6x + 19)° = (6x + 19)° + third angle – (6x + 19)° →

180° – (6x + 19)° = third angle →

180° + -(6x + 19)° = third angle →

180° + (-6x)° + (-19)° = third angle

180° – 6x° – 19° = third angle

(180° – 19°) – 6x° = third angle

161° – 6x° = third angle

third angle = 161 – 6x°

third angle = -6x° + 161°

third angle = (-6x + 161)°

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3 years ago
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Answer:

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The steepness of a line is related to the slope, m.

b is the y-intercept, not the slope.

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Changing b changes the vertical position of the line.

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7 0
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Hey can you please help me posted picture of question
MAXImum [283]
The correct answer is option B

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