| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
If side x = 12cm, side y = 7cm, and side z = 10cm what is the perimeter of this triangle?
| 35cm | |
| 32cm | |
| 29cm | |
| 36cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 7cm + 10cm = 29cm
What is the area of a circle with a radius of 2?
| 4π | |
| 36π | |
| 81π | |
| 9π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
pairs |
|
addition |
|
division |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
Find the value of c:
7c + y = -3
6c + y = -8
| -\(\frac{5}{28}\) | |
| -\(\frac{9}{29}\) | |
| 1\(\frac{15}{47}\) | |
| 5 |
You need to find the value of c so solve the first equation in terms of y:
7c + y = -3
y = -3 - 7c
then substitute the result (-3 - 7c) into the second equation:
6c + 1(-3 - 7c) = -8
6c + (1 x -3) + (1 x -7c) = -8
6c - 3 - 7c = -8
6c - 7c = -8 + 3
-c = -5
c = \( \frac{-5}{-1} \)
c = 5
If angle a = 28° and angle b = 55° what is the length of angle d?
| 152° | |
| 140° | |
| 137° | |
| 158° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 28° - 55° = 97°
So, d° = 55° + 97° = 152°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 28° = 152°