| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
If side a = 9, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{90} \) | |
| \( \sqrt{61} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 72
c2 = 81 + 49
c2 = 130
c = \( \sqrt{130} \)
A coordinate grid is composed of which of the following?
all of these |
|
x-axis |
|
y-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
4π r2 |
|
π r2h2 |
|
π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
A quadrilateral is a shape with __________ sides.
5 |
|
3 |
|
2 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve for z:
-3z - 9 > -3 - 8z
| z > \(\frac{3}{4}\) | |
| z > 1\(\frac{1}{5}\) | |
| z > -4 | |
| z > 1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-3z - 9 > -3 - 8z
-3z > -3 - 8z + 9
-3z + 8z > -3 + 9
5z > 6
z > \( \frac{6}{5} \)
z > 1\(\frac{1}{5}\)