astronomers often measure large distances using astronomical units were 1 AU is the average distance from earth to the sun. In the image, d represents the distance from a star to the sun. Using a technique called stellar parallax astronomers determine 0 is 0.00001389 degrees. How far away is the star from the sun in astronomical units?

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Joanie watched 1 out of three of a movie in the morning

Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.