| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
Solve for c:
-5c - 1 < \( \frac{c}{-3} \)
| c < 1\(\frac{19}{35}\) | |
| c < -\(\frac{3}{14}\) | |
| c < -6 | |
| c < -10\(\frac{2}{3}\) |
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.
-5c - 1 < \( \frac{c}{-3} \)
-3 x (-5c - 1) < c
(-3 x -5c) + (-3 x -1) < c
15c + 3 < c
15c + 3 - c < 0
15c - c < -3
14c < -3
c < \( \frac{-3}{14} \)
c < -\(\frac{3}{14}\)
On this circle, a line segment connecting point A to point D is called:
chord |
|
radius |
|
diameter |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 1. What is the volume?
| 27 | |
| 144 | |
| 288 | |
| 20 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 4 x 1
v = 20
If side a = 2, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{85} \) | |
| \( \sqrt{29} \) | |
| \( \sqrt{58} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 52
c2 = 4 + 25
c2 = 29
c = \( \sqrt{29} \)
If the base of this triangle is 9 and the height is 1, what is the area?
| 4\(\frac{1}{2}\) | |
| 45 | |
| 63 | |
| 75 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 1 = \( \frac{9}{2} \) = 4\(\frac{1}{2}\)