1/4
1/3
1/2
3
Correct answer is D
No explanation has been provided for this answer.
If 125\(_x\) = 20\(_10\) find x
2
3
4
5
Correct answer is B
125\(_x\) = 20\(_10\)
1 x X\(^2\) + 2 x X\(^1\) + 5x X \(^0\) = 20
X2 + 2X + 5 = 20
X\(^2\) + 2X - 15 = 0
(X + 5)( X - 3) = 0
X + 5 implies X = -5
X - 3 implies X = 3
But X cannot be negative
∴X = 3
1110112
1101102
1010112
1010102
Correct answer is C
11012 + 101112 + 1112 = 101011
The area of a square is 144 sqcm. Find the length of the diagonal.
13 cm
12√2 cm
12 cm
11√3 cm
Correct answer is B
No explanation has been provided for this answer.
Find the value of \(\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o}\)
\(\frac{4}{\sqrt{3}}\)
\(\frac{2}{\sqrt{3}}\)
1
\(\frac{1}{2}\)
Correct answer is D
\(\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o}= \frac{\sqrt{3}-\frac{1}{\sqrt{3}}}{\sqrt{3}+\frac{1}{\sqrt{3}}}\\
=\left(\frac{\sqrt{3}\sqrt{3}-1}{\sqrt{3}}\right)\div \left(\frac{\sqrt{3}\sqrt{3}+1}{\sqrt{3}}\right)\\
=\frac{(3-1)}{(3+1)}\\
=\frac{2}{4}=\frac{1}{2}\)