A room is 19 feet long, 10 feet wide, and 8 feet high.If you want to paint the walls and ceiling, how many square feet of surface will you have to cover with paint?
Answer(s): D
First, find the area (surface) of the ceiling. Since it is opposite the floor, it has the same length and width A = lw). 19 feet x 10 feet = 190 square feet (ceiling).Next find the combined area of two matching (opposite) walls. Start with the walls formed by the length and height of the room. (Clear the decimal in the divisor.) 19 feet × 8 feet = 152 square feet (first wall). 152 feet × 2 = 304 square feet (matching walls).Then find the area of the walls formed by the width and height of the room. 10 feet × 8 feet = 80 square feet (second wall). 80 feet × 2 = 160 square feet (matching walls).Finally, combine all surfaces to be painted.190 + 304 + 160 = 654 square feet
If a car traveled 200 miles at an average rate of speed of r miles per hour, the time it took for the trip could be written as __________.
Answer(s): A
The basic formula for travel is "distance equals rate multiplied by time," or D = rt.The car traveled 200 miles (D); therefore 200 =rt.To solve for time, divide both sides of the equation by r. (You are undoing the multiplication.) 200/r = rt/rr200/r = t (time it took for trip)
An equilateral triangle has the same perimeter as a square whose side is 12 inches.What is the length of a side of the triangle?
The perimeter of a square is 4 times a side.Therefore, the perimeter of this square is 4 × 12 inches or 48 inches.The equilateral triangle has the same perimeter as the square.Since the 3 sides of an equilateral triangle are equal, divide by 3 to find the length of one side. (48 inches) ÷ 3 = 16 inches (length of one side).
What is the value of (0.1)3?
The exponent in (0.1)3 means you use 0.1 as a multiplier 3 times.(0.1)3 = (0.1) (0.1) (0.1) = 0.001When multiplying decimals, count off one decimal place in the answer for each decimal place in the numbers you multiply.
What is the area of this shape?
The area of a triangle is 1/2 × base × height. In this case, the base is b and the height is h.
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