Using a pair of compasses and ruler only, construct triangle XYZ, where YZ=8cm, angle XYZ=60 degrees and angle XZY=45 degrees. measure /xy/. construct the locus:
i. locus 1 of points equidistant from yx and yz
ii. locus 2 of point equidistant from y and z
label the point of intersection Q of locus 1 and locus 2

Solve 5 tan x = 5√(3) for 0° ≤ x ≤ 180°. a. 60° b. 150° c. 30° d. 120°

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec

Graph the function =gx+2x3 and give its domain and range using interval notation.