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nata0808 [166]
3 years ago
12

A clock tower has a circular clock face with an area of 144pi square feet. What is the diameter of the clock face? Teacher wants

to see method using square root and showing step by step work. Please help.
Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Answer:

d = 24

Step-by-step explanation:

The area of a circle is given by A = π * r²

We are told the area of the clock is 144π.

Let's clear the formula for the radius:

r² = A / π

r² = 144π / π

r² = 144

r = √144

r = 12

The diameter is two times the radius, d = 2r = 2*12 = 24.

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9514 1404 393

Answer:

  300

Step-by-step explanation:

There are 25 ways to select the first student. After that student is removed from the selection pool for the second student, there are 24 ways to select the second student. This gives 25·24 = 600 ways to select 2 students <em>in a particular order</em>.

Since we don't care about the order, we can divide this number by the number of ways two students can be ordered: AB or BA, 2 ways.

  600/2 = 300

There are 300 ways to pick a combination of two students from 25.

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<em>Additional comments</em>

This sort of selection (2 out of 25) has a formula for it, and an abbreviation for the formula.

 "n choose k" can be written nCk or C(n, k)

The function is a ratio of factorials:

  nCk = n!/(k!(n-k)!)

If you can typeset this, it is written ...

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

This is different from the formula for the number of <em>permutations</em> of n things taken k at a time. That would be written nPk or P(n, k) = n!/(n-k)!.

5 0
2 years ago
Read 2 more answers
Liling is a salesperson at a computer store she recurves a base salary of $2,300 per month and she receives a commission of 3% o
Harman [31]

Answer:

  • $3948

Step-by-step explanation:

<u>Total earning:</u>

  • Salary + commission + extended warrant fee
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8 0
2 years ago
Which expression is equivalent to 3x - (2x + 4) + 5?<br> x+1<br> x + 9<br> 5x + 9<br> 5x + 1
azamat

Answer:

x + 1

Step-by-step explanation:

3x - (2x + 4) + 5

3x - 2x - 4 + 5

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x + 1

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2 years ago
Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that
mojhsa [17]

6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

<h3>What is percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.

Let's suppose x hours Zoey can expect from the tablet on a full battery charge.

The value of x can be calculated using:

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x = 6.06 ≈ 6 hours

Thus, 6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

Learn more about the percentage here:

brainly.com/question/8011401

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The third one hope that helps
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