List the following integers from least to greatest.

Mathematics

1 answer:

mezya [45]4 years ago

4 0

Answer:

Step-by-step explanation:

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There are nine empty seats in a theater, and six customers need to find places to sit. How many different ways can these six sea

dybincka [34]

Answer: 60480

Step-by-step explanation:

Given : The number of empty seats in a theater = 9

The number of customers need to find places to sit =6

Since order matters here, so we use permutations

The permutations of n things taking r at a time is given by :-

$^nP_r=\dfrac{n!}{(n-r)!}$

Then, the number of ways to arrange 6 seat in 9 seats :-

$^9P_6=\dfrac{9!}{(9-6)!}=\dfrac{9\times8\times7\times6\times5\times4\times3!}{3!}\\\\=60480$

Hence, the number of ways to arrange 6 seat in 9 seats = 60480

3 0

3 years ago

What is the area of this triangle? (Image Attached)

Snezhnost [94]

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}\\\\
-----------------------------\\\\
\textit{so, let's find the missing side}
\\\\\\
c=\sqrt{2.7^2+3.4^2-2(2.7)(3.4)cos(40^o)}
\\\\\\
c=\sqrt{4.78542402433556327368}\implies c\approx 2.187561204706182220$

or we can round it, to say c = 2.19, so hmm that's the missing side
now, we use Heron's Formula, which uses all 3 sides only

$\bf \textit{Heron's Area Formula}\\\\
A=\sqrt{s(s-a)(s-b)(s-c)}\qquad 
\begin{cases}
a=2.7\\
b=3.4\\
c\approx 2.19\\\\
s=\cfrac{a+b+c}{2}
\end{cases}$

and that'd be the area of it

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3 years ago

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One pound of chicken cost $3. Jims buys 8 2/3 pounds. How much does he pay

seropon [69]

He will pay 26.1$ for 8 2/3 pounds of chicken.

Hope this helps!!

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3 years ago

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Which of the following threats to biodiversity is a result of plants and animals introduced to an ecosystem where they are not n

Dahasolnce [82]

Invasive Species since they were brought into a habitat that they were not originally in.