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AysviL [449]
2 years ago
9

You need to know the number of different arrangements possible for five distinct letters. You decide to use the permutations rul

e, but your friends tells you to use 5!. Who is correct
Mathematics
2 answers:
Mashcka [7]2 years ago
8 0

Answer:

Both, you and your friend, are correct.

Step-by-step explanation:

5 P 5 = 5!

A shortcut I learned is that in the permutation equation nPn when n is the same on both sides, it is equal to if you used factorial, n!.

kumpel [21]2 years ago
4 0

Answer:

<h2> Both Methods are correct..!!.</h2><h2>Thanks for ASK Me...!!</h2>
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What are 3 expressions of 3/4x=15
Over [174]

Answer:

X=20

Step-by-step explanation:

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2 years ago
A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
Please help with this!
GalinKa [24]

Answer:

-88

Step-by-step explanation:

Because when you all ad it down you get -96 and then -8= -88

8 0
2 years ago
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Triangles L M N and L K N are connected at side L N. A line is drawn from point M to point K and intersects side L N at point P.
lesya692 [45]

The true statement is Line MK is the perpendicular bisector of LN and ML is ≅  MN.

<h3>What is perpendicular?</h3>

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

Δ LMN and Δ LKN are connected at side LN.

As per the information,

Line MK is the perpendicular bisector of LN. and ML ≅  MN.

Learn  ore about this concept here:

brainly.com/question/25397944

#SPJ1

8 0
1 year ago
Each day Marvin exercises for 48 minutes how many days will it take him to exercise for 576 minutes?
Triss [41]
The answer is 12 because 576 divided 48 is 12 .
8 0
3 years ago
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