Suppose that two small cities have the same longitude, which gives the east-west position of a point on earth's surface. one has latitude 23 degrees north, and the other has latitude 47 degrees. assume earth is a sphere with the a radius of 6,380km. find the distance between the cities to the nearest kilometer.



rewrite the arc length formula for an angle measure x given in radians, and simplify.

l=

Factor a ^3 - 3 + 3a^2 - a.1) (a - 1)(a + 1)(a + 3)2) (a2 + 1)(a - 3)3) (a2 - 3)(a + 1)

Solve the following simultaneous equation by using an algebraic method (either substitution or elimination) 2x + 3y=-4 4x-y=11

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?