| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
What is 6a + 6a?
| 12a | |
| 36a | |
| 0 | |
| 36a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a + 6a = 12a
If side a = 6, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{106} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{20} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 92
c2 = 36 + 81
c2 = 117
c = \( \sqrt{117} \)
On this circle, line segment AB is the:
chord |
|
radius |
|
diameter |
|
circumference |
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).
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
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π r2h2 |
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4π r2 |
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2(π r2) + 2π rh |
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.
The dimensions of this cylinder are height (h) = 8 and radius (r) = 1. What is the volume?
| 7π | |
| 392π | |
| 108π | |
| 8π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 8)
v = 8π