| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
If angle a = 27° and angle b = 62° what is the length of angle c?
| 91° | |
| 118° | |
| 60° | |
| 124° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 27° - 62° = 91°
The dimensions of this cylinder are height (h) = 5 and radius (r) = 4. What is the surface area?
| 324π | |
| 72π | |
| 154π | |
| 168π |
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
Simplify (7a)(5ab) + (5a2)(6b).
| 65a2b | |
| -5ab2 | |
| 5a2b | |
| 132ab2 |
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.
(7a)(5ab) + (5a2)(6b)
(7 x 5)(a x a x b) + (5 x 6)(a2 x b)
(35)(a1+1 x b) + (30)(a2b)
35a2b + 30a2b
65a2b
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
acute, obtuse, right |
|
right, acute, obtuse |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The endpoints of this line segment are at (-2, -8) and (2, 4). What is the slope-intercept equation for this line?
| y = 2x - 3 | |
| y = 2x - 4 | |
| y = 3x - 2 | |
| y = 2\(\frac{1}{2}\)x + 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -8) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x - 2