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zepelin [54]
3 years ago
10

Is anyone good with permutations? I can’t quite get the answer right for 4 b)

Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:  \bold{4b)\quad _{10}C_2=45\qquad\qquad 5b)\quad _4C_1\ \cdot\  _7C_3=140}

<u>Step-by-step explanation:</u>

4b) 2 members are pre-selected for the subcommittee, so there are 2 spots left and 10 people remaining to choose from.  _{10}C_2=\large\boxed{45}

5b) 1 of the guards is pre-selected for the team, so there is only 1 spot left and 4 people remaining to choose from. <em>There are still 3 spots for the forwards out of 7 people.</em>     _4C_1\ \cdot\  _7C_3=4\times 35=\large\boxed{140}

<em>Note: Your answers are correct for 4a and 5a</em>

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If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.
Brut [27]

Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.

1. x = ?

2. m∠MKL = ?

3. m∠JKL = ?

Answer/Step-by-step explanation:

Given:

m<JKM = 43,

m<MKL = (8x - 20),

m<JKL = (10x - 11).

Required:

1. Value of x

2. m<MKL

3. m<JKL

Solution:

1. Value of x:

m<JKL = m<MKL + m<JKM (angle addition postulate)

Therefore:

(10x - 11) = (8x - 20) + 43

Solve for x

10x - 11 = 8x - 20 + 43

10x - 11 = 8x + 23

Subtract 8x from both sides

10x - 11 - 8x = 8x + 23 - 8x

2x - 11 = 23

Add 11 to both sides

2x - 11 + 11 = 23 + 11

2x = 34

Divide both sides by 2

\frac{2x}{2} = \frac{34}{2}

x = 17

2. m<MKL = 8x - 20

Plug in the value of x

m<MKL = 8(17) - 20 = 136 - 20 = 116°

3. m<JKL = 10x - 11

m<JKL = 10(17) - 11 = 170 - 11 = 159°

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Recall that the volume of a uniform cylinder may be defined by the formula:

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In our case we are given

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Substituting these known values into the formula gives:

Volume = Base Area x Height

15 = Base Area x 1.5

Base Area = 15 / 1.5

Base Area = 10 ft²

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Answer:

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