| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.53 |
| Score | 0% | 51% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
|
π r2h2 |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If the base of this triangle is 4 and the height is 8, what is the area?
| 22\(\frac{1}{2}\) | |
| 16 | |
| 67\(\frac{1}{2}\) | |
| 70 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 8 = \( \frac{32}{2} \) = 16
The dimensions of this trapezoid are a = 4, b = 9, c = 6, d = 8, and h = 2. What is the area?
| 9 | |
| 15 | |
| 17 | |
| 14 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 8)(2)
a = ½(17)(2)
a = ½(34) = \( \frac{34}{2} \)
a = 17
Simplify (5a)(4ab) + (9a2)(9b).
| 162a2b | |
| 162ab2 | |
| 61ab2 | |
| 101a2b |
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.
(5a)(4ab) + (9a2)(9b)
(5 x 4)(a x a x b) + (9 x 9)(a2 x b)
(20)(a1+1 x b) + (81)(a2b)
20a2b + 81a2b
101a2b
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π r |
|
c = π d2 |
|
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.