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 nth new triangle.

What will be an ideal response?


The length of the sides of the nth new triangle is ()n.

Mathematics

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Replace the polar equation with an equivalent Cartesian equation. 8r cos ? + 9r sin ? = 1

A. 8x + 9y = 1
B. 8y + 9x = 1
C. 8x + 9y = x2 + y2
D.  +  = 1

Mathematics

Identify the figure and denote it by its appropriate symbol.

A. Ray, 
B. Line, 
C. Line Segment, 
D. Ray, 

Mathematics

Use your calculator to evaluate the expression rounded to three decimal places. e-2

A. 0.693 B. 0.135 C. 7.389 D. 0.301

Mathematics

Solve using the quadratic formula. Use a calculator to approximate the solution to three decimal places.3.9x2 - 0.1x = -1.8

A. 0.013 ± 0.679 B. 0.026 ± 2.683i C. 0.013 ± 3.599i D. 0.013 ± 0.679i

Mathematics