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andre [41]
1 year ago
15

There are 5040 ways for a group of 7 people to be seated. How many ways could a group of 8 seated explain how you figured it out

Mathematics
1 answer:
Dovator [93]1 year ago
6 0

The number of ways is 40320

<h3>How many ways could a group of 8 seated?</h3>

The group of people is given as:

Group = 8

The number of ways this group can be seated is calculated as:

Ways = Group !

So, we have

Ways = 8!

Expand

Ways = 8 * 7 * 6 * 5 * 4 * 3 *2 *1

Evaluate

Ways = 40320

Hence, the number of ways is 40320

Read more about factorial at:

brainly.com/question/22824482

#SPJ1

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Answer:

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Step-by-step explanation:

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Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".

4 --> Since it's in the hundreds place that means the number is 400 !

3 --> Since it's in the tenths place that means the number is 30 !

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2 years ago
Solve the triangle A = 2 B = 9 C =8
VARVARA [1.3K]

Answer:

\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}

Then, given the sides a=2, b=9, and c=8.

\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}

For B:

\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}

3 0
1 year ago
Kendall's sister had 25 hair clips. 7 of them were blue and the rest were purple.What percent of Kendall's sister hair clips wer
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3 years ago
Please Please help !!
solmaris [256]

Answer:

When y = |x + h|, the graph is shifted (or translated) <u>to the left.</u>

When y = |x - h|, the graph is shifted (or translated) <u>to the right.</u>

Step-by-step explanation:

Part A:

The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k

(h , k) is the vertex of the graph.

So, for the first part, what y = |x + h| is saying is y = |x -  (-h)|.

The -h is substituted for h, and negatives cancel out, resulting in x + h.

This translates to the left of the graph.

Part B:

For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.

This translates to the right of the graph.

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