Solve the right triangle. Use the rules for significant digits.
A. B = 43.44°, b ? 31.38, c ? 48.20
B. B = 43.44°, b ? 45.64, c ? 31.38
C. B = 43.44°, b ? 31.38, c ? 45.64
D. B = 43.44°, b ? 35.00, c ? 24.06
Answer: C
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Solve the system to find W1 and W2. Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a force of 116 pounds is applied at the peak of the truss, then the forces or weights W1 and W2 exerted parallel to each rafter of the truss are determined by the following linear system of equations.
(W1 + W2) = 116 W1 - W2 = 0
A. W1 = -66.97 lb; W2= -66.97 lb B. W1 = 38.67 lb; W2= 38.67 lb C. W1 = 66.97 lb; W2= 66.97 lb D. W1 = 66.97 lb; W2= 58 lb
Provide an appropriate response.A human cannonball is to be fired with an initial speed of 80 ft/sec. The circus performer hopes to land on a cushion located 190 feet downrange at the same height as the muzzle of the cannon. The circus is being held in a large room with a flat ceiling 33 feet higher than the muzzle. Can the performer be fired to the cushion without striking the ceiling? If so, what is the proper firing angle? (g = 32 ft/sec2)
What will be an ideal response?
Perform the indicated operation(s). Where possible, reduce the answer to lowest terms. -
A.
B.
C.
D.
Solve the problem.If you measure the circumference of a circle to be 20 inches, estimate the length of its radius. Use ? on your calculator and round to the nearest hundredth.
A. 3.18 in. B. 4.18 in. C. 6.37 in. D. 3.33 in.