| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.52 |
| Score | 0% | 50% |
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
a2 - c2 |
|
c2 - a2 |
|
c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r2 |
|
c = π d2 |
|
c = π r |
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.
Find the value of c:
-4c + z = 8
8c + 2z = 7
| -\(\frac{20}{29}\) | |
| -\(\frac{9}{16}\) | |
| 2\(\frac{3}{22}\) | |
| 1 |
You need to find the value of c so solve the first equation in terms of z:
-4c + z = 8
z = 8 + 4c
then substitute the result (8 - -4c) into the second equation:
8c + 2(8 + 4c) = 7
8c + (2 x 8) + (2 x 4c) = 7
8c + 16 + 8c = 7
8c + 8c = 7 - 16
16c = -9
c = \( \frac{-9}{16} \)
c = -\(\frac{9}{16}\)
The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the volume?
| 243π | |
| 7π | |
| 18π | |
| 175π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 7)
v = 175π
The formula for the area of a circle is which of the following?
a = π d2 |
|
a = π d |
|
a = π r |
|
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.