Angle AB (shown above) is a(n)__________.
Answer(s): D
Angles measuring more than 90 degrees are obtuse angles.
Solve for x: = −x2 – x + 30 = 0
Answer(s): B
This is a quadratic equation, which is solved by factoring.–x2 – x + 30 = 0–(–x2 – x + 30) = 0x2 + x – 30 = 0 (x + 6)(x – 5) = 0 x + 6 = 0x – 5 = 0 x = –6x = 5
A square box has a volume of 64 cubic inches. What’s its perimeter?
Volume equals length times width times height (V = lwh). In this case, V = 64, so one side of the box is 4- inches long.The cube root of 64 produces this number: 64 = 4 × 4 × 4.Find the perimeter by adding the four sides together: 4 + 4 + 4 + 4 = 16.
A cube has a volume of 64 cubic inches. What’s its surface area?
Answer(s): C
Volume is calculated by multiplying length times width times height (V = lwh). Because the edges are equal on a cube, each edge is 4 inches.The cube root of 64 produces this number: 64 = 4 × 4 × 4.The area of one side of the cube is 4 × 4 = 16, and because a cube has 6 sides, you multiply 16 × 6 to find the surface area of the cube, 96 inches.
(x2)3 = _____________.
(x2)3 is the same as (x2) (x2) (x2). Multiply exponents with the same base by keeping the base and adding the exponents: (x2) (x2) (x2) = x6.
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