Provide an appropriate response.The series of sketches below starts with an equilateral triangle having sides of length 1 (one). In the following steps, equilateral triangles are constructed by joining the midpoints of the sides of the preceding triangle. Develop a formula for the length of the sides of the new triangle.

Fill in the blank(s) with the appropriate word(s).


((1/2))n

Mathematics

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Evaluate the integral.

A.  sec-1   + C
B.  sec-1   + C
C.  sec-1   + C
D.  sin-1  x + C

Mathematics

Solve the problem. Round to the nearest cent.The unpaid balance in an account on November 1 was $108. A payment of $35 was made on November 11. The finance charge rate was 1.75% per month of the average daily balance. Find the finance charge for the month of November.

A. $1.28 B. $3.17 C. $1.50 D. $1.48

Mathematics

Multiply and simplify. Assume all variables represent nonnegative real numbers. Write your answer in radical notation. 

A. x
B. 2x
C. 2
D.

Mathematics

Solve the polynomial equation.x3 - 9x2 + x - 9 = 0

A. x = 9, -i, i B. x = -9, -i, i C. x = -9, 9, i D. x = -1, 1, 9

Mathematics