| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, acute, obtuse |
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right, obtuse, acute |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If side a = 7, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{29} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{2} \) | |
| \( \sqrt{130} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 62
c2 = 49 + 36
c2 = 85
c = \( \sqrt{85} \)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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division |
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addition |
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pairs |
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.)
Solve for b:
b2 + 10b + 24 = 0
| 5 or -3 | |
| 7 or 5 | |
| -4 or -6 | |
| -5 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 10b + 24 = 0
(b + 4)(b + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 4) or (b + 6) must equal zero:
If (b + 4) = 0, b must equal -4
If (b + 6) = 0, b must equal -6
So the solution is that b = -4 or -6
If the base of this triangle is 8 and the height is 6, what is the area?
| 22\(\frac{1}{2}\) | |
| 24 | |
| 44 | |
| 31\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 6 = \( \frac{48}{2} \) = 24