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Elina [12.6K]
3 years ago
14

Help me? Show work so I can understand please and thank you!

Mathematics
2 answers:
charle [14.2K]3 years ago
7 0
29^2 - 20^2
841-200=641
Answer: 25.31
Vikentia [17]3 years ago
3 0

I think this is correct, Answer is <em><u>21</u></em>

Step-by-step explanation:

Step 1: Write down formula:                               a^2+b^2+c^2                  

Step 2: Plug in b and c value in formula:          a^2+20^2=29^2  

Step 3: Solve the exponents:                            a^2+400=841

Step 4: Subtract 400 from both sides:                   -400  -400

                                                                                     a^2=441

Step 5: Square root both sides:                                \sqrt{a^2}=\sqrt{441}

                                                                                     a=21

Step 6: 29+21:                    50

Step 7: 50-29:                     <u>21</u>

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Free_Kalibri [48]

Answer:

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(b) 84

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Step-by-step explanation:

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The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot(n-k)!}

(a)

Compute the number of ways to select 9 applicants from 100 as follows:

{100\choose 9}=\frac{100!}{9!\cdot(100-9)!}

        =\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400

(b)

Compute the number of ways to select 6 people from 9 as follows:

{9\choose 6}=\frac{9!}{6!\cdot(9-6)!}

        =\frac{9!}{6!\times 3!}\\\\=\frac{9\times 8\times 7\times 6!}{6!\times 3!}\\\\=\frac{9\times 8\times 7}{3!}\\\\=84

(c)

Compute the number of ways to select top 3 candidates from 6 as follows:

{6\choose 3}=\frac{6!}{3!\cdot(6-3)!}

        =\frac{6!}{3!\times 3!}\\\\=\frac{6\times 5\times 4\times 3!}{3!\times 3!}\\\\=\frac{6\times 5\times 4}{3!}\\\\=20

7 0
3 years ago
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pantera1 [17]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Musya8 [376]

Answer:

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4 0
2 years ago
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Stolb23 [73]

Answer:

Step-by-step explanation:

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72     8.25  (80.25-72)

85     4.75   (85-80.25)

76      4.25  (80.25-76)

         --------

       25.00

      ______

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7 0
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katen-ka-za [31]

Answer:

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Step-by-step explanation:

i need points for my questions sorry

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