| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
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4π r2 |
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2(π r2) + 2π rh |
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π r2h |
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.
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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rhombus |
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triangle |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for y:
y2 - 5y + 4 = 0
| 2 or 1 | |
| 7 or 2 | |
| 5 or -4 | |
| 1 or 4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 5y + 4 = 0
(y - 1)(y - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y - 4) must equal zero:
If (y - 1) = 0, y must equal 1
If (y - 4) = 0, y must equal 4
So the solution is that y = 1 or 4
The dimensions of this trapezoid are a = 4, b = 9, c = 7, d = 5, and h = 3. What is the area?
| 24 | |
| 19\(\frac{1}{2}\) | |
| 21 | |
| 22\(\frac{1}{2}\) |
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 + 5)(3)
a = ½(14)(3)
a = ½(42) = \( \frac{42}{2} \)
a = 21
What is the circumference of a circle with a radius of 18?
| 6π | |
| 36π | |
| 28π | |
| 10π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 18)
c = 36π