| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.67 |
| Score | 0% | 53% |
If side a = 2, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| \( \sqrt{58} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{53} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 72
c2 = 4 + 49
c2 = 53
c = \( \sqrt{53} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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triangle |
|
trapezoid |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for y:
-7y + 6 < \( \frac{y}{9} \)
| y < 1\(\frac{10}{53}\) | |
| y < \(\frac{3}{5}\) | |
| y < \(\frac{18}{35}\) | |
| y < \(\frac{27}{32}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-7y + 6 < \( \frac{y}{9} \)
9 x (-7y + 6) < y
(9 x -7y) + (9 x 6) < y
-63y + 54 < y
-63y + 54 - y < 0
-63y - y < -54
-64y < -54
y < \( \frac{-54}{-64} \)
y < \(\frac{27}{32}\)
The formula for the area of a circle is which of the following?
c = π d |
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c = π r2 |
|
c = π r |
|
c = π d2 |
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.
Simplify 2a x 4b.
| 8\( \frac{b}{a} \) | |
| 6ab | |
| 8ab | |
| 8a2b2 |
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.
2a x 4b = (2 x 4) (a x b) = 8ab