| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
The dimensions of this cylinder are height (h) = 4 and radius (r) = 7. What is the surface area?
| 154π | |
| 192π | |
| 14π | |
| 54π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 4)
sa = 2π(49) + 2π(28)
sa = (2 x 49)π + (2 x 28)π
sa = 98π + 56π
sa = 154π
If angle a = 29° and angle b = 29° what is the length of angle c?
| 74° | |
| 84° | |
| 68° | |
| 122° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 29° - 29° = 122°
What is the area of a circle with a diameter of 4?
| 9π | |
| 16π | |
| 4π | |
| 49π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π
What is 4a7 + 9a7?
| a714 | |
| 36a14 | |
| -5 | |
| 13a7 |
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.
4a7 + 9a7 = 13a7
If side a = 9, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{53} \) | |
| \( \sqrt{74} \) | |
| \( \sqrt{37} \) | |
| \( \sqrt{106} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 52
c2 = 81 + 25
c2 = 106
c = \( \sqrt{106} \)