5\(\sqrt{15}\)cm2
7\(\sqrt{15}\)cm2
21\(\sqrt{3}\)cm2
21\(\sqrt{5}\)cm2
21\(\sqrt{15}\)cm2
Correct answer is E
No explanation has been provided for this answer.
Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)
10001\(_{two}\)
11001\(_{two}\)
110001\(_{two}\)
11010\(_{two}\)
10001\(_{two}\)
Correct answer is D
Convert each value to decimal (base 10)
\(1011_{two}\) → 11
+ \(1101_{two}\) → 13
+ \(1001_{two}\) → 9
- \(111_{two}\) → 7
: 11 + 13 + 9 - 7 = 26
26 → \(11010_{two}\)
0.75
1.5
2.25
3.5
6.75
Correct answer is E
- If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.
Given: Heights of cylinder --> 21 : 7 or 3 : 1 = \(\frac{3}{1}\)
= 3 times height enlargement
Volume / Capacity of larger cylinder = 3\(^3\) \(\times\) 250g
= 27 \(\times\) 250g = 6,750 or 6.75kg
If y varies inversely as x2, how does x vary with y?
x varies inversely as y2
x varies inversely as \(\sqrt{y}\)
x varies directly as y2
x varies directly as \(\sqrt{y}\)
x varies directly as y
Correct answer is B
No explanation has been provided for this answer.
The nth term of a sequence is given as \(4 \times 3^{(3 - n)}\). Calculate the third term.
12
32
4
3
1
Correct answer is C
\(4 \times 3^{(3 - n)}\)
for the third term, n = 3
then
\(4 \times 3^{(3 - 3)}\) = \(4 \times 3^{0}\) = 4 x 1 = 4.