| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
If side a = 1, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{50} \) | |
| \( \sqrt{13} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{89} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 72
c2 = 1 + 49
c2 = 50
c = \( \sqrt{50} \)
The dimensions of this trapezoid are a = 5, b = 7, c = 7, d = 9, and h = 4. What is the area?
| 9 | |
| 37\(\frac{1}{2}\) | |
| 32 | |
| 25 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(7 + 9)(4)
a = ½(16)(4)
a = ½(64) = \( \frac{64}{2} \)
a = 32
Simplify (4a)(9ab) + (9a2)(7b).
| -27a2b | |
| 99ab2 | |
| 99a2b | |
| 208a2b |
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.
(4a)(9ab) + (9a2)(7b)
(4 x 9)(a x a x b) + (9 x 7)(a2 x b)
(36)(a1+1 x b) + (63)(a2b)
36a2b + 63a2b
99a2b
If a = c = 7, b = d = 8, what is the area of this rectangle?
| 63 | |
| 30 | |
| 56 | |
| 54 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56
The formula for the area of a circle is which of the following?
a = π r |
|
a = π r2 |
|
a = π d2 |
|
a = π d |
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.