| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
If side x = 6cm, side y = 12cm, and side z = 8cm what is the perimeter of this triangle?
| 29cm | |
| 33cm | |
| 19cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 12cm + 8cm = 26cm
Find the value of a:
-6a + z = -2
-5a + 4z = 5
| -\(\frac{11}{13}\) | |
| -2 | |
| \(\frac{13}{19}\) | |
| -1\(\frac{3}{10}\) |
You need to find the value of a so solve the first equation in terms of z:
-6a + z = -2
z = -2 + 6a
then substitute the result (-2 - -6a) into the second equation:
-5a + 4(-2 + 6a) = 5
-5a + (4 x -2) + (4 x 6a) = 5
-5a - 8 + 24a = 5
-5a + 24a = 5 + 8
19a = 13
a = \( \frac{13}{19} \)
a = \(\frac{13}{19}\)
If side a = 1, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{26} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{29} \) | |
| \( \sqrt{113} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 52
c2 = 1 + 25
c2 = 26
c = \( \sqrt{26} \)
What is the circumference of a circle with a radius of 10?
| 20π | |
| 30π | |
| 13π | |
| 14π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 10)
c = 20π
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
|
Odd |
|
First |
|
Last |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.