Answer:
Right triangles are triangles in which one of the interior angles is 90 degrees, a right angle. Since the three interior angles of a triangle add up to 180 degrees, in a right triangle, since one angle is always 90 degrees, the other two must always add up to 90 degrees (they are complementary).
The side opposite the right angle is called the hypotenuse. The sides adjacent to the right angle are the legs. When using the Pythagorean Theorem, the hypotenuse or its length is often labeled with a lower case c. The legs (or their lengths) are usually labeled a and b.
Step-by-step explanation:
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If you meant a thickness of 1/2 inch. . .
Because the inserts are put on all the sides, the dimensions of the usable space are 5 X 5 X 9. This means the diameter of the base is 5. The radius is half the diameter, so we divide 5 by 2 to get the radius. 5/2 = 2.5. Now, we plug in the radius and the height (9) into the formula for the volume of a cylinder, which is


So, D is correct.
Answer:
Step-by-step explanation:
Answer as an inequality: 
Answer in interval notation: [2, 7]
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Explanation:
The range is the set of all possible y outputs of a function.
The lowest point occurs when y = 2
The highest point occurs when y = 7
The range is the set of every y value between 2 and 7, including the endpoints.
The range as an inequality is 
It is equivalent to [2, 7] in interval notation. The square brackets include each endpoint.
Answer:
x = - 13, x = - 3
Step-by-step explanation:
Given
x² + 16x = - 39
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 39 + 64
(x + 8)² = 25 ( take the square root of both sides )
x + 8 = ±
= ± 5 ( subtract 8 from both sides )
x = - 8 ± 5, thus
x = - 8 - 5 = - 13 or x = - 8 + 5 = - 3