| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
If the base of this triangle is 5 and the height is 7, what is the area?
| 17\(\frac{1}{2}\) | |
| 40 | |
| 20 | |
| 48 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 7 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
2(π r2) + 2π rh |
|
π r2h |
|
π r2h2 |
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.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
acute, obtuse |
|
obtuse, acute |
|
supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Find the value of a:
4a + z = 7
-3a + z = 5
| \(\frac{22}{31}\) | |
| \(\frac{2}{7}\) | |
| -\(\frac{3}{25}\) | |
| -\(\frac{13}{33}\) |
You need to find the value of a so solve the first equation in terms of z:
4a + z = 7
z = 7 - 4a
then substitute the result (7 - 4a) into the second equation:
-3a + 1(7 - 4a) = 5
-3a + (1 x 7) + (1 x -4a) = 5
-3a + 7 - 4a = 5
-3a - 4a = 5 - 7
-7a = -2
a = \( \frac{-2}{-7} \)
a = \(\frac{2}{7}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h x l x w |
|
lw x wh + lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.