A rectangle is placed around a semicircle as shown below. The length of the rectangle is 10 mm. Find the area of the shaded region. Use the value 3.14 for T, and do not round your answer. Be sure to include the correct unit in your answer. 10 mm mm mm2 mm

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Q: Question: Find the determinant of the given matrix using the formula. 0 -5 7 0

A: det0-570Find the matrix determinant according to formula:  deta  b c  d  = ad-bc=0· 0--5· 7=35

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A: Given  a = 3  r = 2/6

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A: Explanation of the answer is as follows

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Q: 2. Complete the table. log; a 25 1 25 a. b. 5 C. -1 d. 0 e. 10 f. 2 g. -2 5

A: logbx = y is equivalent to  by = x .

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A: To evaluate the given infinite geometric series.-35+310-320+340...

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A: condition for triangle formed : if two side summation is greater than third side then triangle…

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A: We can solve as follows

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A: the given vectors,  4,0,0,, 5,-1,0,1,5,5

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Q: 3. Find a number with remainders of 3, 11, and 15, when divided by 10, 13, and 17, respectively.

A: Find a number with remainder of 3,11,15 when divided by 10,13,and 17 respectively.     Here i…

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A: Use the basic concepts of algebra and simplify.

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A: x represent  the demand  and  p represent price of item

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A: In xz plane value of y = 0.

Q: Write the resulting set using the listing method {4,6,8} intersect {3,5}

A: We can write the resulting set using the listing method as below.

Q: 3 k -8 -9 -4 0 -3 7 -8 -1 Let A 0 0 k 4 -4 0 0 0 5 -5 0 0 0 0 8 choose When is det(A) > 0?

A: To find when the determinant has positive value.

Q: 1. Simplify. Write each answer with positive exponents only. a-5 e) (- 27x"y-15 a b a) (4x) b) d)…

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Q: 4. Max can earn $6/h as a waiter, plus an additional $9/h in tips. Ca) Graph Max's earnings from…

A: Earning as a waiter=$6hEarning as tips=$9h

Q: 21.5olve the inilial Valume Problem und Yo) =1

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