| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 2. What is the volume?
| 63 | |
| 144 | |
| 24 | |
| 72 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 9 x 2
v = 144
Solve for z:
z2 - 4z - 25 = -2z - 1
| 8 or 8 | |
| -4 or 6 | |
| -2 or -7 | |
| -7 or -7 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 - 4z - 25 = -2z - 1
z2 - 4z - 25 + 1 = -2z
z2 - 4z + 2z - 24 = 0
z2 - 2z - 24 = 0
Next, factor the quadratic equation:
z2 - 2z - 24 = 0
(z + 4)(z - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 4) or (z - 6) must equal zero:
If (z + 4) = 0, z must equal -4
If (z - 6) = 0, z must equal 6
So the solution is that z = -4 or 6
Solve for y:
9y - 3 > \( \frac{y}{-7} \)
| y > 1\(\frac{1}{5}\) | |
| y > -\(\frac{21}{43}\) | |
| y > \(\frac{21}{64}\) | |
| y > -\(\frac{5}{8}\) |
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.
9y - 3 > \( \frac{y}{-7} \)
-7 x (9y - 3) > y
(-7 x 9y) + (-7 x -3) > y
-63y + 21 > y
-63y + 21 - y > 0
-63y - y > -21
-64y > -21
y > \( \frac{-21}{-64} \)
y > \(\frac{21}{64}\)
If side x = 11cm, side y = 7cm, and side z = 15cm what is the perimeter of this triangle?
| 28cm | |
| 35cm | |
| 27cm | |
| 33cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 7cm + 15cm = 33cm
On this circle, a line segment connecting point A to point D is called:
diameter |
|
radius |
|
circumference |
|
chord |
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).