| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
If side a = 6, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{73} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{2} \) | |
| \( \sqrt{50} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 22
c2 = 36 + 4
c2 = 40
c = \( \sqrt{40} \)
On this circle, line segment CD is the:
diameter |
|
chord |
|
circumference |
|
radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The formula for the area of a circle is which of the following?
a = π d2 |
|
a = π d |
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a = π r |
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a = 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.
The dimensions of this cylinder are height (h) = 4 and radius (r) = 5. What is the surface area?
| 80π | |
| 90π | |
| 30π | |
| 196π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 4)
sa = 2π(25) + 2π(20)
sa = (2 x 25)π + (2 x 20)π
sa = 50π + 40π
sa = 90π
If side x = 7cm, side y = 5cm, and side z = 8cm what is the perimeter of this triangle?
| 28cm | |
| 22cm | |
| 20cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 5cm + 8cm = 20cm