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Juli2301 [7.4K]
4 years ago
5

Can you help me with these two problems please?! 20 points

Mathematics
1 answer:
Komok [63]4 years ago
5 0

Answer:

c

Step-by-step explanation:

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On each request the ith of n possible books is the one chosen with probability pi. To make it quicker to find the book the next
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Answer:

attached below

Step-by-step explanation:

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For the first problem, the answer is B. For the second problem, the answer is A.
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Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = \sqrt{400 - b^2}

A = bh

A = b\sqrt{400 - b^2}

Area will be maximized when the derivative is set to zero

           dA/db = \sqrt{400 - b^2} - b²/ \sqrt{400 - b^2}

                   0 = \sqrt{400 - b^2} - b²/ \sqrt{400 - b^2}

b²/\sqrt{400 - b^2} =  \sqrt{400 - b^2}

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = \sqrt{200}

h = \sqrt{400 - b^2}

h = \sqrt{400 - \sqrt{200}^2 }

h = \sqrt{200}

A = bh

A =  \sqrt{200}•\sqrt{200}

A = 200 units²

5 0
3 years ago
The perimeter of the larger rectangle is 2 meters
jenyasd209 [6]

Answer:

Step-by-step explanation:

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3 years ago
Find the percent of increase. round to the nearest tenth, if necessary. from 20 ounces to 49 ounces
zimovet [89]
Hope this helps, 49ounces --> 49/20 *100 (sry for the bad handwriting)

6 0
3 years ago
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