| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.58 |
| Score | 0% | 52% |
If the base of this triangle is 9 and the height is 9, what is the area?
| 32\(\frac{1}{2}\) | |
| 40\(\frac{1}{2}\) | |
| 78 | |
| 24\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 9 = \( \frac{81}{2} \) = 40\(\frac{1}{2}\)
Simplify (3a)(2ab) - (3a2)(2b).
| 0a2b | |
| 25a2b | |
| 2b | |
| 12a2b |
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.
(3a)(2ab) - (3a2)(2b)
(3 x 2)(a x a x b) - (3 x 2)(a2 x b)
(6)(a1+1 x b) - (6)(a2b)
6a2b - 6a2b
0a2b
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r2 |
|
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.
Solve for c:
-c - 7 > \( \frac{c}{3} \)
| c > -1\(\frac{13}{43}\) | |
| c > -\(\frac{4}{7}\) | |
| c > -1\(\frac{11}{14}\) | |
| c > -5\(\frac{1}{4}\) |
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.
-c - 7 > \( \frac{c}{3} \)
3 x (-c - 7) > c
(3 x -c) + (3 x -7) > c
-3c - 21 > c
-3c - 21 - c > 0
-3c - c > 21
-4c > 21
c > \( \frac{21}{-4} \)
c > -5\(\frac{1}{4}\)
On this circle, line segment AB is the:
circumference |
|
chord |
|
radius |
|
diameter |
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).