| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
The dimensions of this cylinder are height (h) = 8 and radius (r) = 3. What is the volume?
| 8π | |
| 28π | |
| 72π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 8)
v = 72π
The formula for the area of a circle is which of the following?
a = π d2 |
|
a = π r2 |
|
a = π d |
|
a = π r |
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 (2a)(6ab) - (7a2)(4b).
| 40ab2 | |
| 88ab2 | |
| 88a2b | |
| -16a2b |
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)(6ab) - (7a2)(4b)
(2 x 6)(a x a x b) - (7 x 4)(a2 x b)
(12)(a1+1 x b) - (28)(a2b)
12a2b - 28a2b
-16a2b
If a = 3, b = 8, c = 5, and d = 5, what is the perimeter of this quadrilateral?
| 25 | |
| 17 | |
| 21 | |
| 15 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 8 + 5 + 5
p = 21
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 - a2 |
|
c2 + a2 |
|
a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)