Awire runs in a straight line from the ground to the top of a pole. the angle of the wire to the ground is x degrees and the pole is a distance 16 from where the wire meets the ground. (assume the pole is at right angles to the ground.) find the height of the pole by an appropriate use of one of the trigonometric values below. sin x = 0.5, cos x = 0.8, tan x = 5/8, csc x = 2, sec x = 5/4, cot x = 8/5. note: answer is an integer. (the trigonometric values are not for a real angle they are made up for ease of calculation.)

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³

Explain why the factor 1.5 is broke. into two numbers in the model.