| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.53 |
| Score | 0% | 51% |
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and right |
|
equilateral, isosceles and right |
|
equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Solve for c:
7c - 1 < \( \frac{c}{-8} \)
| c < 4 | |
| c < -\(\frac{7}{50}\) | |
| c < -\(\frac{9}{11}\) | |
| c < \(\frac{8}{57}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
7c - 1 < \( \frac{c}{-8} \)
-8 x (7c - 1) < c
(-8 x 7c) + (-8 x -1) < c
-56c + 8 < c
-56c + 8 - c < 0
-56c - c < -8
-57c < -8
c < \( \frac{-8}{-57} \)
c < \(\frac{8}{57}\)
The dimensions of this cylinder are height (h) = 6 and radius (r) = 9. What is the surface area?
| 270π | |
| 8π | |
| 32π | |
| 272π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 6)
sa = 2π(81) + 2π(54)
sa = (2 x 81)π + (2 x 54)π
sa = 162π + 108π
sa = 270π
The formula for the area of a circle is which of the following?
c = π d2 |
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c = π d |
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c = π r2 |
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c = 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.
What is 7a + 8a?
| -1 | |
| 15 | |
| 56a2 | |
| 15a |
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.
7a + 8a = 15a