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The laser beam is to be directed towards center of moon, but beam strays 0.25 degree from its intended path. Radius of moon is about 1000 miles, and distance from moon to earth is 240,000 miles. Det
Chie stands a distance of 50 feet from the tree and estimates the angle of elevation to top of tree from eye-level. Angle is 23 degrees. Determine height of tree to nearest tenth of a foot.
The certain right triangle has hypotenuse which is 13 feet long, and one leg which is five feet long. If θ is angle opposite five-foot leg, determine values of all six trigonometric ratios for &
The ceiling fan with 20-inch blades rotates at 40 revolutions/minute. Determine angular speed of fan, in rad/min, and compute linear speed of tips of blades in in/min.
Two points where initial and terminal sides of angle intersect circumference of circle are 16 inches apart. That is the linear distance, not arc length. Find area of circular sector defined by angle
The isoceles triangle has the area of 36 square millimeters, and angle between equal sides is 2π/3. Determine lengths of two equal sides.
The ship leaves port of Miami with the bearing of S80E and the speed of 15 knots. After one hour, ship turns 90 degrees toward south. After two hours, maintaining same spped, find bearing to ship f
The store owner wishes to sell coconut coffee which cost $4.50 per pound and vanilla coffee which cost $6 per pound to make 250 pounds of the mixture which sells for$5.50 per pound. How much of each
Schools custodian is mowing grass on the football field by cutting the boarder around field. Field is 120 yards long by 50 yards wide. How wide will be boarder when he has mowed half of area of foot
The parking lot is to be formed by fencing in the rectangular plot of land except for the enterance 12 m wide along one of the sides. Determine dimensions of lot of greatest area if 30m of fencing i
The ball is thrown vertically upward with the initial speed of 80ft/sec. It's height after t seconds provided by h=80t-16t2. How high ball goes? When ball hits ground?
The box with square base and no lid is to be made from the piece of metal by cutting squares from corners and folding up sides. Cut off squares are 5 cm on a side.
A 5 in. by 7 in. photograph is surrounded by the frame of uniform width. Area of frame equals area of photograph. Determine width of frame.
Determine quatratic function based on stopping distance for 55 mph and 65 mph and fact that at 0 mph stopping distance is 0 feet.
Clumsily he knocks edge of stack and row of apples from each of trays falls to floor. Given that the total number of apples on floor is 77 how many apples were on each tray to start?
Determine which kind of function would fit data best: linear orquadratic. Use graphing utility to compute function of bestfit. Are results reasonable?
After she hits ball, when will ball hit the ground? How much time will it take if outfield will catch it five feet above ground?
State total cost of installation as function of x. (you may like select toanswer part (c) before part (b) if you would like to analyze concrete instances before creating equation.)
Sketch the scatter diagram of data. Comment on kind of relation which may exist between two variables. Use the graphing utility to compute quadratic function of best fit of these data.
Determine work done by the force of 39 pounds acting in direction<2,5> in moving the object 5 feet from <0,0> to the point in first quadrant along line y = x.
The box with the square base has volume of 867 in3. State surface area of box as the function of length x of side of the base. Use function to compute dimensions of box with volume 867 in3 and smalles
Consider f be the function with domain D and range R. We assume that there exists the functiong defned on R such that for any x ε D, (g of)(x) = x. Is f necessarily one-to-one? If no, provide
You are given the job of driving small u-haul from college to home town and then back again to college. Determine profit when you get to the home town?
Illustrate that Cartesian equation of plane π is 3x+2y-6z=12. Plane π meets x,y and z axes at A, B and C respectively. Determine coordinates of A, B and C.
The rectangular flower bed is to be enclosed on 3 sides by the small decorative fence. Fourth side is the side of house. Write dimensions of largest flower bed which can be enclosed by 24 ft of fen