Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.csc ? = 
, 
< ? < ?Find cos (2?).
A. 
B. 
C. - 
D. - 
Answer: D
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Simplify the radical.
A. 4 B. 8 C. -4 D. not a real number
Figure (a) shows a vacant lot with a 100-ft frontage in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 100], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 100]. To estimate the area of the lot using a Riemann sum, we divide the interval [0, 100] into five equal subintervals of length 20 ft. Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the
values of f(x) at x = 10, 30, 50, 70, and 90. What is the approximate area of the lot?
?
?
?
A. 7,900 sq ft
B. 8,600 sq ft
C. 8,100 sq ft
D. 8,400 sq ft
A roof has a rise of 5 feet for every horizontal change of 7 feet (see figure). Find the inclination of the roof. Round your answers to one decimal place.
Solve the problem.Formulate the following problem as a linear programming problem (DO NOT SOLVE):A dietitian can purchase an ounce of chicken for $0.25 and an ounce of potatoes for $0.02. Each ounce of chicken contains 13 units of protein and 24 units of carbohydrates. Each ounce of potatoes contains 5 units of protein and 35 units of carbohydrates. The minimum daily requirements for the patients under the dietitian's care are 45 units of protein and 58 units of carbohydrates. How many ounces of each type of food should the dietitian purchase for each patient so as to minimize costs and at the same time insure the minimum daily requirements of protein and carbohydrates? (Let x1 equal the number of ounces of chicken and x2 the number of ounces of potatoes purchased per patient.)
What will be an ideal response?