Two cities, A and B, are 7500 apart. The radius of the Earth is approximately 40
ID: 3016889 • Letter: T
Question
Two cities, A and B, are 7500 apart. The radius of the Earth is approximately 4000 miles. Express angle theta in radians and in degrees. Express angle theta in radians. theta = __________ radians (Type an integer or a decimal.) Express angle theta in degrees. theta = __________ degree (Round to the nearest whole number as needed.) The angular speed of a point on a planet is 4 pi/13 radian per hour. The equator lies on a circle of radius approximately 8000 miles. Find the linear velocity, in miles per hour, of a point on the equator. The linear speed of a point on the equator is approximately _________ miles per hour. (Round to the nearest whole number as needed.) Use the (x, y) coordinates in the figure to find the value of the trigonometric function at the indicated real number, t, or state that the expression is undefined. sin 5 pi/3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sin 5 pi/3 = __________ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The expression is undefined. The angle t is an acute angle and sin t is given. Use the Pythagorean identity sin^2t + cos^2t = 1 to find cos t. sin t = Squareroot 2/5 cos t = _________ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)Explanation / Answer
1)
length of arc l= r, where r is radius
l=7500 , r =4000
7500=*4000
=>=7500/4000
=>=1.875 radians
=1.875*(180o/)
=107.43o
=107o
-----------------------------------------------
(2)
given angular speed w=4/13 rad/hr
radius r =8000 miles
linear speed v=rw
linear speed v=8000*4/13
linear speed v=7733 miles per hour
--------------------------------------------------------------------
(3)
y=-3/2 , x=1/2 ,r=1
sin(5/3) =(y/r)
sin(5/3) =((-3/2)/1)
sin(5/3) =(-3/2)
----------------------------------------------
4)sint =2/5
sin2t+cos2t=1
=>(2/5)2+cos2t=1
=>(2/25)+cos2t=1
=>cos2t=1-(2/25)
=>cos2t=(23/25)
=>cost=23 /5
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.