| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
If angle a = 45° and angle b = 23° what is the length of angle c?
| 87° | |
| 58° | |
| 114° | |
| 112° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 23° = 112°
If side a = 3, side b = 4, what is the length of the hypotenuse of this right triangle?
| 5 | |
| \( \sqrt{29} \) | |
| \( \sqrt{13} \) | |
| \( \sqrt{90} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 42
c2 = 9 + 16
c2 = 25
c = \( \sqrt{25} \)
c = 5
Simplify (3a)(8ab) + (5a2)(5b).
| a2b | |
| 110ab2 | |
| 49ab2 | |
| 49a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(8ab) + (5a2)(5b)
(3 x 8)(a x a x b) + (5 x 5)(a2 x b)
(24)(a1+1 x b) + (25)(a2b)
24a2b + 25a2b
49a2b
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, right, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r2 |
|
c = π r |
|
c = π d |
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.