| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
What is the area of a circle with a radius of 5?
| 2π | |
| 25π | |
| 16π | |
| 6π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
If side a = 4, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{90} \) | |
| \( \sqrt{20} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{106} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 72
c2 = 16 + 49
c2 = 65
c = \( \sqrt{65} \)
The dimensions of this cube are height (h) = 4, length (l) = 7, and width (w) = 1. What is the surface area?
| 122 | |
| 78 | |
| 232 | |
| 212 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 1) + (2 x 1 x 4) + (2 x 7 x 4)
sa = (14) + (8) + (56)
sa = 78
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
|
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
What is 6a7 + 9a7?
| 54a14 | |
| 15a14 | |
| 15a7 | |
| 15 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a7 + 9a7 = 15a7