| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
If side a = 6, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{72} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{90} \) | |
| 10 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 62
c2 = 36 + 36
c2 = 72
c = \( \sqrt{72} \)
What is 6a5 + 4a5?
| 2 | |
| 24a5 | |
| 10a10 | |
| 10a5 |
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.
6a5 + 4a5 = 10a5
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
The formula for the area of a circle is which of the following?
c = π d2 |
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c = π d |
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c = π r |
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c = π r2 |
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.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
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Inside |
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First |
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Odd |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.