Solve the problem.The perimeter of a triangle is 62 cm. The triangle is isosceles now, but if its base were lengthened by 2 cm and each leg were shortened by 2 cm, it would be equilateral. Find the base of the original triangle.
A. 18 cm
B. 22 cm
C. 17 cm
D. 20 cm
Answer: A
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Verify the identity.cos(? - ?) - cos(? + ?) = 2 sin ? sin ?
What will be an ideal response?
Solve. If necessary, round to the nearest tenth.The zoo has hired a landscape architect to design the triangular lobby of the children's petting zoo. In his scale drawing, the longest side of the lobby is 6 cm. The shortest side of the lobby is 2 cm. The longest side of the actual lobby will be 32 m. How long will the shortest side of the actual lobby be?
A. 0.1 m B. 1 m C. 96 m D. 10.7 m
Convert the radical expression to its rational exponent form and then simplify. Assume that all variables represent positive numbers.
A. 
B. 31/4x1/4
C. 31/12x1/12
D. 31/3x1/3
Solve the problem.Parts for an automobile repair cost $464. The mechanic charges $29 per hour. If you receive an estimate for at least $609 and at most $696 for fixing the car, what is the time interval, in hours, that the mechanic will be working on the job?
A. [21, 24] B. [1, 8] C. [5, 8] D. [1, 5]