| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
What is the area of a circle with a diameter of 6?
| 36π | |
| 9π | |
| 2π | |
| 5π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
Find the value of c:
-9c + x = 2
-2c - 2x = -5
| -2 | |
| -\(\frac{5}{13}\) | |
| \(\frac{1}{20}\) | |
| \(\frac{14}{17}\) |
You need to find the value of c so solve the first equation in terms of x:
-9c + x = 2
x = 2 + 9c
then substitute the result (2 - -9c) into the second equation:
-2c - 2(2 + 9c) = -5
-2c + (-2 x 2) + (-2 x 9c) = -5
-2c - 4 - 18c = -5
-2c - 18c = -5 + 4
-20c = -1
c = \( \frac{-1}{-20} \)
c = \(\frac{1}{20}\)
If angle a = 57° and angle b = 35° what is the length of angle d?
| 136° | |
| 135° | |
| 148° | |
| 123° |
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° - 57° - 35° = 88°
So, d° = 35° + 88° = 123°
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° - 57° = 123°
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
right angle |
|
parallel |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Which of the following expressions contains exactly two terms?
quadratic |
|
polynomial |
|
monomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.