Solve the problem.A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 5 cm squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard. Find the width of the original piece of cardboard, x, if the volume of the box is 3360 cm3.
A. 26 cm
B. 25 cm
C. 27 cm
D. 16 cm
Answer: A
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Find the measure of each angle in the problem.
A. 45° and 55° B. 45° and 135° C. 60° and 120° D. 90° and 270°
Find the standard form of the equation of the following conic section.Circle of radius with its center at (3, 10).
A. (x - 10)2 + (y - 3)2 = 25 B. (x - 3)2 + (y - 10)2 = 5 C. (x + 3)2 + (y + 10)2 = 5 D. (x + 10)2 + (y + 3)2 = 25
Solve the problem.The temperature of water in a certain lake on a day in October can be determined by using the model where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 8 degrees? (Round to the nearest foot.)
A. 43 ft B. 32 ft C. 13 ft D. 69 ft
Solve the problem.A piece of molding 154 cm long is to be cut to form a rectangular picture frame. What dimensions will enclose the largest area?
A. 38.5 cm × 38.5 cm B. 30.8 cm × 30.8 cm C. 12.41 cm × 38.5 cm D. 12.41 cm × 12.41 cm