| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
Simplify (4a)(3ab) + (3a2)(2b).
| 6ab2 | |
| 18a2b | |
| 35a2b | |
| 18ab2 |
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.
(4a)(3ab) + (3a2)(2b)
(4 x 3)(a x a x b) + (3 x 2)(a2 x b)
(12)(a1+1 x b) + (6)(a2b)
12a2b + 6a2b
18a2b
If the base of this triangle is 4 and the height is 4, what is the area?
| 65 | |
| 63 | |
| 77 | |
| 8 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 4 = \( \frac{16}{2} \) = 8
If angle a = 59° and angle b = 26° what is the length of angle c?
| 108° | |
| 93° | |
| 120° | |
| 95° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 59° - 26° = 95°
What is the circumference of a circle with a diameter of 4?
| 8π | |
| 14π | |
| 4π | |
| 20π |
The formula for circumference is circle diameter x π:
c = πd
c = 4π
If side a = 9, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{90} \) | |
| \( \sqrt{26} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{52} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 32
c2 = 81 + 9
c2 = 90
c = \( \sqrt{90} \)