| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
|
4π r2 |
|
π r2h2 |
|
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.
What is the circumference of a circle with a diameter of 19?
| 19π | |
| 2π | |
| 36π | |
| 5π |
The formula for circumference is circle diameter x π:
c = πd
c = 19π
If angle a = 36° and angle b = 55° what is the length of angle c?
| 126° | |
| 110° | |
| 109° | |
| 89° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 36° - 55° = 89°
What is 8a5 - 3a5?
| 5 | |
| 5a5 | |
| 24a5 | |
| a510 |
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.
8a5 - 3a5 = 5a5
If the area of this square is 25, what is the length of one of the diagonals?
| 2\( \sqrt{2} \) | |
| 5\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) | |
| 3\( \sqrt{2} \) |
To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:
a = s2
so the length of one side of the square is:
s = \( \sqrt{a} \) = \( \sqrt{25} \) = 5
The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:
c2 = a2 + b2
c2 = 52 + 52
c2 = 50
c = \( \sqrt{50} \) = \( \sqrt{25 x 2} \) = \( \sqrt{25} \) \( \sqrt{2} \)
c = 5\( \sqrt{2} \)