| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
A right angle measures:
90° |
|
45° |
|
360° |
|
180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If side a = 8, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{8} \) | |
| \( \sqrt{80} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{26} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 42
c2 = 64 + 16
c2 = 80
c = \( \sqrt{80} \)
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 |
|
h x l x w |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
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.
Simplify 2a x 6b.
| 8ab | |
| 12a2b2 | |
| 12\( \frac{b}{a} \) | |
| 12ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
2a x 6b = (2 x 6) (a x b) = 12ab
Find the value of c:
-4c + z = 4
-3c - 4z = 6
| -1\(\frac{3}{19}\) | |
| \(\frac{22}{29}\) | |
| -2\(\frac{7}{27}\) | |
| \(\frac{67}{74}\) |
You need to find the value of c so solve the first equation in terms of z:
-4c + z = 4
z = 4 + 4c
then substitute the result (4 - -4c) into the second equation:
-3c - 4(4 + 4c) = 6
-3c + (-4 x 4) + (-4 x 4c) = 6
-3c - 16 - 16c = 6
-3c - 16c = 6 + 16
-19c = 22
c = \( \frac{22}{-19} \)
c = -1\(\frac{3}{19}\)