| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
If the base of this triangle is 9 and the height is 6, what is the area?
| 70 | |
| 112\(\frac{1}{2}\) | |
| 84 | |
| 27 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 6 = \( \frac{54}{2} \) = 27
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π d2 |
|
c = π r |
|
c = π d |
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.
Simplify 6a x 8b.
| 14ab | |
| 48ab | |
| 48\( \frac{b}{a} \) | |
| 48\( \frac{a}{b} \) |
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.
6a x 8b = (6 x 8) (a x b) = 48ab
The dimensions of this cylinder are height (h) = 5 and radius (r) = 4. What is the surface area?
| 234π | |
| 208π | |
| 80π | |
| 72π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 5)
sa = 2π(16) + 2π(20)
sa = (2 x 16)π + (2 x 20)π
sa = 32π + 40π
sa = 72π
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
vertical, supplementary |
|
obtuse, acute |
|
acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).