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inessss [21]
3 years ago
14

Find the number of ways to listen to four CDs from a selection of 8 CDs. A) 1680 B) 336 C) 70 D) 50 pls aslo explain why..

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer:

a) 1680

<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given data the number of CD' s n = 8

<em>We have to selected '4' CD' s  from total '8' CD's</em>

<em>By using permutations </em>

<em>The number of ways to listen to four CDs from a selection of 8 CDs.</em>

<em>                          =     </em>8_{P_{4} }<em> </em>

<em>  we know that </em>

           n_{P_{r} } = \frac{n!}{(n-r)!}

          8_{P_{4} } = \frac{8!}{(8-4)!} = \frac{8 X 7 X 6 x 5 X 4!}{4!} = 1680

<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>

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Express answer in exact form.
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The answer is 5.13 in²

Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
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Step 1:
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D = a√2            (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in

Step 2.
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Answer:

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Step-by-step explanation:

I have attached a diagram depicting the question.

From the diagram, The first tower is depicted by side AEB and the second tower CD.

While d is the distance that separates the two towers and it's given as 15m.

Now, since the angle of depression of the second tower’s base is 60°, then for triangle BAC. Angle C = 60°.

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