| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
If side a = 2, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{29} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{130} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 82
c2 = 4 + 64
c2 = 68
c = \( \sqrt{68} \)
If c = -3 and z = 5, what is the value of -6c(c - z)?
| -144 | |
| -40 | |
| 32 | |
| 0 |
To solve this equation, 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.)
-6c(c - z)
-6(-3)(-3 - 5)
-6(-3)(-8)
(18)(-8)
-144
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
π r2h |
|
2(π r2) + 2π rh |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
trapezoid |
|
triangle |
|
rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If the base of this triangle is 5 and the height is 3, what is the area?
| 7\(\frac{1}{2}\) | |
| 42 | |
| 72 | |
| 30 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 3 = \( \frac{15}{2} \) = 7\(\frac{1}{2}\)