| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
If side a = 7, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{10} \) | |
| 10 | |
| \( \sqrt{85} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 62
c2 = 49 + 36
c2 = 85
c = \( \sqrt{85} \)
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
|
the lengths of all sides are equal |
|
the area is length x width |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
If a = 9 and x = -6, what is the value of -a(a - x)?
| -8 | |
| 512 | |
| -135 | |
| 1296 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-a(a - x)
-1(9)(9 + 6)
-1(9)(15)
(-9)(15)
-135
The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the volume?
| 252π | |
| 4π | |
| 576π | |
| 448π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 4)
v = 4π
If side x = 13cm, side y = 13cm, and side z = 5cm what is the perimeter of this triangle?
| 31cm | |
| 39cm | |
| 30cm | |
| 33cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 13cm + 5cm = 31cm