TeeKay
This page lists questions and answers that were posted by visitors named TeeKay.
Questions
The following questions were asked by visitors named TeeKay.
A roofer must set up a 40-foot ladder against the side of a house. He sets the ladder so that the distance from the base of the ladder to the wall is 1/5 of the length of the ladder. To the nearest degree, what acute angle does the ladder make with the gr...
11 years ago
A 21-foot ladder is leaning against a building. The base of the ladder is 7 feet from the base of the building. To the nearest degree, what is the measure of the angle that the ladder makes with the ground? (Hint: Sketch the problem before solving.)
11 years ago
Mr. Box lives on the fourth floor of a building and looks out of his window 46 feet above the sidewalk. A cat on the sidewalk below hears the window open and looks up at an angle of elevation of 75º. How far is the cat in feet from the edge of the buildin...
11 years ago
Charlie is late for the hot-air balloon rally. He stops his car 65 meters from a hot-air balloon already in flight. While Charlie watches the balloon ascend, he tilts his eyes up from 28º until he is watching at an angle of elevation of 66º. Find the vert...
11 years ago
A surveyor sights the top of a building with a handheld range finder. The top of the building is 72 feet 10 inches away. The angle of elevation is 57º. Find the distance from the surveyor to the building to the nearest foot.
11 years ago
A carpenter makes a triangular frame by joining three pieces of wood that are 20 cm, 24 cm, and 30 cm long. What is the measure to the nearest degree of the smallest angle in the frame? (Enter only the number.)
11 years ago
A local naturalist says that a triangular area on the north side of a pond is a turtle habitat. The lengths of the sides of this area are 15 meters, 25 meters, and 36 meters. Which expression gives the measure of the angle between the sides of the habitat...
11 years ago
A statue is erected on a triangular marble base. The lengths of the sides of the triangle are 12 feet, 16 feet, and 18 feet. What is the area of the region at the base of the statue to the nearest square foot? 169 ft2 144 ft2 143 ft2 94 ft2
11 years ago
Starting with the formula mg sin A = umg cos A, you can derive tan A = u to find the angle A of an incline and the coefficient of friction u of objects on the incline.
11 years ago
Rewrite the expression 2sinθ(cosθ)(cotθ) in terms of sine or cosine.
11 years ago
A simplified version of the expression 2sinθ (cos θ)(cotθ) is
11 years ago
Select all the true statements about identities. A) You may use proven identities to prove other identities. B) An identity is true only for restricted values of the variables. C) You can prove an identity by graphing the side to the left of the equal sig...
11 years ago
Suppose sin A = 12/13 with 90º≤A≤180º. Suppose also that sin B = -7/25 with -90º≤B≤0º. Find tan (A – B).
11 years ago
Solve 4cos^2A = 3cosA for 90º≤A≤180º. (Enter only the number.) Find A when 0º≤A≤90º and 3tan^2A = 2tanA + 1. (Enter only the number.)
11 years ago
Find all solutions to the equation 1 = 2cos θ.
11 years ago
Find all solutions to 5cosθ = 3cosθ - 1.
11 years ago
Find all solutions to 7cosθ - 1 = 9cosθ.
11 years ago
Suppose cosA = 12/13 with 0º≤A≤90º. Suppose also that sinB = 8/17 with 90º≤B≤180º. Find cos(A - B).
11 years ago
Suppose a smooth glass-top table is tilted slowly. The angle, A, at which a glass plate on the table begins to slide is 43º. Use the equation mg sin A = umg cos A to determine the coefficient of friction, u. A)0.43 B)0.22 C)0.90 D)0.93
11 years ago
Use the equation mg sin A = umg cos A to determine the angle at which a waxed wood block on an inclined plane of wet snow begins to slide. Assume the coefficient of friction, u, is 0.17.
11 years ago
Triangle PQR has vertices P(0, 1), Q(0, -4), and R(2, 5). Find the coordinates of R' to the nearest hundredth after rotating triangle PQR counterclockwise about the origin 45º.
11 years ago
Find cos2A when cosA = -3/5 and π/2<A<π. A) -24/25 B) -7/25 C) 7/24 D) 24/7
10 years ago
Find tan2A when tanA = 1/3 and π<A<3π/2. A) 4/5 B) 5/4 C) 3/4 D) 3/5
10 years ago
Solve 2cos^2θ/2 = cos2θ for 0º≤θ≤360º. (Hint: Graph each side of the equation and find the points of intersection.) A) ≈73.8º; 260.4º B) ≈141.3º; 218.7º C) ≈225.7º; 315.8º D) ≈51.7º; 138.2º
10 years ago
Solve the equation cos2θ = 1/2sinθ 0º≤θ≤90º. (Hint: Graph each side of the equation and determine where the graphs intersect.)
10 years ago
How can you sketch the graph y = |x - 2| ? A)Translate the graph of y = |x| two units up. B)Translate the graph of y = |x| two units down. C)Translate the graph of y = |x| two units left. D) Translate the graph of y = |x| two units right.
10 years ago
Which function could be the parent of y = 3|x| ? A)y = |x| B)y = 3x C)y = x3 D)y = 3 + x
10 years ago
Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64. A) 2 and -2 B) 64 and -64 C) 5 and -5 D) 0.25 and -0.25
10 years ago
Use a graphing calculator to write a polynomial function to model this set of data {(5,2) (7,5) (8,6) (10,4) (11, -1) (12 -3) (15,5) (16,9)} A) f(x) = 2x3 + 2.70x2 + 0.09x - 65.21 B) f(x) = 2x3 - 0.09x - 65.21 C) f(x) = 0.09x3 - 2.70x2 + 24.63x - 65.21 D)...
10 years ago
The solution of the system of three inequalities is given by a polygonal convex set. 8x + 2y ≥ 36 -3x + 6y ≤ 27 -7x + 5y ≥ -18 The function f(x,y) = 9x + 5y passes through this set. What values of (x,y) give f(x,y) its maximum value? A)(-3, 2) B)(-3, 6) C...
10 years ago
Suppose person A collaborated with person B, who has collaborated with person C, who has collaborated with Paul Erdös. Suppose also that person B never collaborated with Paul Erdös and person A never collaborated with anyone with an Erdös number of 1 or l...
10 years ago
Answers
The following answers were posted by visitors named TeeKay.