Provide an appropriate response.Use a compass and straightedge to construct an angle of 22.5°.

What will be an ideal response?


Answers will vary. A sample correct response would be as follows.



Start with a point P on a line, and construct a 90° angle (i.e. a perpendicular to the line) at P. Then bisect this angle to construct a 45° angle, and further bisect this 45° angle to construct a 22.5° angle.

Mathematics

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Provide an appropriate response.Find ? if cos ? = 0.6896 rounded to the nearest tenth of a degree.

A. 0.8° B. 42.6° C. 34.6° D. 46.4°

Mathematics

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.f(t) = 5e-t cos 2?t on [-2, 3] divided into 5 subintervals (Round to the nearest hundredth.)

A. -7.04 B. -37.04 C. -95.72 D. 7.04

Mathematics

Convert the polar equation to a rectangular equation.? = 

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

Mathematics

Find the volume of the circular cone. Use 3.14 or  for ? as indicated and round as indicated. Use 3.14 for ?. Round to the nearest whole number.

A. 678 cm3 B. 1017 cm3 C. 170 cm3 D. 151 cm3

Mathematics