The square root of a number is 2k. What is half of the number
\(\sqrt{\frac{k}{2}}\)
\(\sqrt{k}\)
\(\frac{1}{2}k^2\)
2k2
Correct answer is D
Let the number be x.
\(\sqrt{x} = 2k \implies x = (2k)^2\)
= \(4k^2\)
\(\frac{1}{2} \times 4k^2 = 2k^2\)
From the Venn Diagram below, find Q' ∩ R.
(e)
(c, h)
(c, g, h)
(c, e, g, h)
Correct answer is C
Q' ∩ R Q' = U - Q Q' = {a, b, c, d, g, h, i} R = {c, e, h, g} Q' ∩ R = {c, h, g}
From the Venn diagram below, how many elements are in P∩Q?
1
2
4
6
Correct answer is B
P \(\cap\) Q = {f, e} = 2
If \(P = \sqrt{QR\left(1+\frac{3t}{R}\right)}\), make R the subject of the formula.
\(R = \frac{3Qt}{P^2 - Q}\)
\(R = \frac{P^2 – 3t}{Q+1}\)
\(R = \frac{P^2 + 3t}{Q - 1}\)
\(R = \frac{P^2-3Qt}{Q}\)
Correct answer is D
No explanation has been provided for this answer.
2√3
4√3
6√3
12√3
Correct answer is B
\(sin \theta = \frac{opp}{hyp}\\
sin 60^o = \frac{|YZ|}{|XZ|}=\frac{6}{P}\\
P sin 60^o = 6\\
P = \frac{6}{sin60^o}\\
=\frac{6}{\sqrt{\frac{3}{2}}}=4\sqrt{3}\)
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