Solve the problem.Evelyn measured two rooms of her apartment and found that she needed 45.8 square meters of wallpaper for one room and 36.7 square meters for the other. How much wallpaper did she need?

A. 165 m2
B. 82.5 m2 
C. 92.5 m2
D. 82.6 m2


Answer: B

Mathematics

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Using only the labeled angles in the diagram, identify:





(a) Two pairs of alternate interior angles
(b) Two pairs of alternate exterior angles
(c) Two pairs of interior angles on the same side of the transversal
(d) Two pairs of exterior angles on the same side of the transversal
(e) Two pairs of corresponding angles

Mathematics

Find the location of the center, vertices, and foci for the hyperbola described by the equation. -  = 1

A. Center: (-3, 4); Vertices: (-10, 4) and (4, 4); Foci:  and 
B. Center: (3, -4); Vertices: (-4, -4) and (10, -4); Foci:  and (
C. Center: (3, -4); Vertices: (-3, -4) and (11, -4); Foci: (4 + , -3) and (-3 + , -3)
D. Center: (3, -4); Vertices: (-4, 4) and (10, 4); Foci: (3 - , 4) and (3 + , 4)

Mathematics

Evaluate the integral.

A. 10 ln 3 B. -10 ln 3 C. 5 ln 3 D. -5 ln 3

Mathematics

The displacement from equilibrium of an object in harmonic motion on the end of a spring is, where y is measured in feet and t is the time in seconds. Determine the position of the object when. Round your answer to two decimal

places. ?  A. 4.76 feet B. 0.90 feet C. 9.70 feet D. 0.53 feet E. 0.18 feet

Mathematics