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Zanzabum
3 years ago
8

Kathy John Barbara Dominic and Troy want to go to a concert but they only have 3 tickets. If they decide to select randomly who

will go, what is the probability Kathy will be selected
Mathematics
1 answer:
Lilit [14]3 years ago
6 0
1/5 chance kate will be selected.
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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
How many tens are in 6000
dybincka [34]
Road learning: Just take out one 0 for tens, two 0 for hundreds and three 0 for thousands. The answer is 600.
6 0
3 years ago
The set S consists of all odd multiples of 3: S = {..., -9, -3, 3, 9,...}. If the integers x and y are in S, then which of the f
tankabanditka [31]
I think it is gonna be xy

because if ur set contains all odd multiples of 3 (-9,-3,3,9,15,21,27...
and u pick any 2 of those numbers and multiply them u will end up with an odd numbered multiple of 3

and if u pick out any 2 numbers in ur set..and do any of the other things in ur answer choices, it will not always be an odd numbered multiple of 3
4 0
3 years ago
Company ABC's rate of sales is given by 1366e0.146t million dollars per year, where t is the number of years since 2000. Assumin
olga55 [171]
The answer is 6% because there wtv ur talking it it will equal to what your saying u feel me
3 0
3 years ago
How to figure out 5 - 0.53
sveta [45]

the answer would be 4.47

because every whole number is made out of 100 small parts.

So that would be like 400-53 which is 447 and then add the decimal point. That would make it 4.47

4 0
3 years ago
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