Theme: Radian Measure...
  • Find the value of tan π/12.
  • A camera on a 5-foot-high tripod is placed in front of a 6-foot-high picture that is mounted 3 feet above the floor. a) express angle theta as a function of the distance x from the camera to the wall. b) the photographer wants to use a particular lens, for which theta = 36 (pi/5 radians). How far should she place the camera from the wall to be sure the entire picture will show in the photograph?
  • If sin theta = (sqrt 3)/2, which could not be the value of theta? A. 60 degrees B. 120 degrees C. 240 degrees D. 420 degrees I know that the solutions for theta are pi/3 and 2pi/3, but how does that correlate?
  • 3sin(2x)-1=0 to solve
  • In Bear Creek Bay in July, high tide is at 1:00 pm. The water level at high tide is 7 feet at high tide and 1 foot at low tide. Assuming the next high tide is exactly 12 hours later and the height of the water can be modeled by a cosine curve, find an equation for Bear Creek Bay’s water level in July as a function of time (t).
  • 3x+7y=2 Algebra 1A need , due tomorroww:(
  • A car is moving at a rate of 28 miles per hour and the diameter of its wheels is about 2 1/3 feet. Find the angular speed of the wheel in radians per minute.
  • I’m looking at the top at 79.9 angle. I’m 100ft away. What’s the height of the building?
  • Change 290 degrees to radian measure in terms of pi.
  • If a wheel with a diameter of 30 inches spins at a rate of 40 revolutions per minute, find the approximate linear velocity in miles per hour. use pi. 3.14 determine the linear velocity of an object with an angular velocity of 8.9 radians per second at a distance of 20 centimeters from the center. use pi 3.14
  • Find the length of an arc of 40° in a circle with an 8 inch radius
  • The sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 10^3 seconds?
  • Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians.
  • Find all the values of x (where 0 < or equal to x and x < pi/2) in terms of pi for which cos(6x)=0
  • Why is the question, "Is your favorite time of year the cold frigid winter or the warm radiant summer?" biased? Rewrite the question so it is not biased. *
  • Part A: the sun produces 3.9*10^33 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25*10^3 seconds? Part B: which is more reasonable measurement of the distance between the tracks on a railroad: 1.435 * 10^-3 mm or 1.435 * 10^3 mm? Justify your answer. BONUS: (2^8 * 5^-5 * 19^0) ^-2 (5^-2 / 2^3) * 2^28