\(2^{2}\times 3^{3}\times 5^{2}\)
\(2^{3}\times 3^{23}\times 5\)
\(2^{2}\times 3^{2}\times 5^{2}\)
\(2^{3}\times 3^{3}\times 5^{2}\)
Correct answer is D
No explanation has been provided for this answer.
Evaluate \((111_{two})^2\) and leave your answer in base 2
\(111001_{two}\)
\(110001_{two}\)
\(101001_{two}\)
\(10010_{two}\)
Correct answer is B
\((111_{two})^{2}=(111_{two})(111_{two})\\
=1 \times 2^{2}+1\times2^{1}+1\times 2^{0}=4+2+1=7_{_{ten}}\\
(111_{two})^{2}=7\times 7=49\\
\begin{matrix}
2 & 49\\
2 & 24\hspace{1mm}R\hspace{1mm}1\\
2 & 12\hspace{1mm}R\hspace{1mm}0\\
2 & 6\hspace{1mm}R\hspace{1mm}0\\
2 & 3\hspace{1mm}R\hspace{1mm}0\\
2 & 1\hspace{1mm}R\hspace{1mm}1\\
& 0\hspace{1mm}R\hspace{1mm}1\hspace{1mm}\uparrow
\end{matrix} \\
=110001_{2}\)
|PO|=|RO|
PQR is an equilateral triangle
PQRX is a parallelogram
There are two lines of symmetry
Correct answer is B
No explanation has been provided for this answer.
40o
50o
55o
75o
Correct answer is C
Reflex + ∠OML + ∠ONL + ∠NLM = 360
280o + 10o + 15o + x = 360o => 305o + xo = 360o
x = 360o - 305o = 55o
The monthly salary of a man increased from N2,700 to N3,200. Find the percentage increase
10%
15%
15.6%
18.5%
Correct answer is D
\(\% increase = \frac{Increase}{initial\hspace{1mm} salary}\times 100\%\\
Increase=N3,200 - N2,700 = N500\\
Initial \hspace{1mm} salary=N2,700.00=\frac{N500}{N2,700}\times 100\% = 18.5\%\)
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