| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
If side x = 12cm, side y = 5cm, and side z = 7cm what is the perimeter of this triangle?
| 24cm | |
| 29cm | |
| 26cm | |
| 27cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 5cm + 7cm = 24cm
If side a = 8, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{145} \) | |
| \( \sqrt{37} \) | |
| 5 | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 92
c2 = 64 + 81
c2 = 145
c = \( \sqrt{145} \)
The dimensions of this cylinder are height (h) = 9 and radius (r) = 8. What is the volume?
| 486π | |
| 196π | |
| 576π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 9)
v = 576π
Find the value of a:
3a + y = 4
6a + 5y = 4
| 1\(\frac{7}{9}\) | |
| \(\frac{3}{7}\) | |
| \(\frac{5}{6}\) | |
| -13\(\frac{1}{3}\) |
You need to find the value of a so solve the first equation in terms of y:
3a + y = 4
y = 4 - 3a
then substitute the result (4 - 3a) into the second equation:
6a + 5(4 - 3a) = 4
6a + (5 x 4) + (5 x -3a) = 4
6a + 20 - 15a = 4
6a - 15a = 4 - 20
-9a = -16
a = \( \frac{-16}{-9} \)
a = 1\(\frac{7}{9}\)
What is the circumference of a circle with a diameter of 16?
| 34π | |
| 9π | |
| 16π | |
| 14π |
The formula for circumference is circle diameter x π:
c = πd
c = 16π