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Lostsunrise [7]
3 years ago
12

How many ways can you arrange seven different books on a shelf?

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Step-by-step explanation:

There are 7 books that can go in the first spot.

After a book has been placed in the first spot, there are 6 books left that can go in the second spot.

After that, there are 5 books that can go in the third spot.

So on and so forth.

So the number of ways is:

7×6×5×4×3×2×1 = 7! = 5040

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Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

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a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

= 8.609503297... m²

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Leviafan [203]

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Step-by-step explanation:

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A website has a 826,140 hits last month what is the value of the 8 in 826,140
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The value of 8 is in the hundred thousands

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Write 2 7/10% as a fraction.
Andre45 [30]

Step-by-step explanation:

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