| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π d |
|
c = π r2 |
|
c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If angle a = 39° and angle b = 46° what is the length of angle c?
| 47° | |
| 95° | |
| 99° | |
| 54° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 39° - 46° = 95°
What is 8a - 7a?
| 56a2 | |
| 1a | |
| 15 | |
| 56a |
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.
8a - 7a = 1a
What is the area of a circle with a diameter of 10?
| 25π | |
| 9π | |
| 2π | |
| 6π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
Find the value of b:
7b + y = 3
-3b + 3y = -7
| -1\(\frac{5}{18}\) | |
| \(\frac{29}{44}\) | |
| \(\frac{2}{3}\) | |
| -\(\frac{4}{7}\) |
You need to find the value of b so solve the first equation in terms of y:
7b + y = 3
y = 3 - 7b
then substitute the result (3 - 7b) into the second equation:
-3b + 3(3 - 7b) = -7
-3b + (3 x 3) + (3 x -7b) = -7
-3b + 9 - 21b = -7
-3b - 21b = -7 - 9
-24b = -16
b = \( \frac{-16}{-24} \)
b = \(\frac{2}{3}\)