| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If side a = 7, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{40} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{74} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 52
c2 = 49 + 25
c2 = 74
c = \( \sqrt{74} \)
Solve for y:
-5y + 7 > 9 - 9y
| y > 1\(\frac{1}{2}\) | |
| y > \(\frac{1}{2}\) | |
| y > -1\(\frac{1}{8}\) | |
| y > -\(\frac{1}{4}\) |
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.
-5y + 7 > 9 - 9y
-5y > 9 - 9y - 7
-5y + 9y > 9 - 7
4y > 2
y > \( \frac{2}{4} \)
y > \(\frac{1}{2}\)
The formula for the area of a circle is which of the following?
a = π r |
|
a = π d2 |
|
a = π d |
|
a = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
A coordinate grid is composed of which of the following?
origin |
|
x-axis |
|
all of these |
|
y-axis |
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.