4\(\sqrt{3cm^2}\)
16\(\sqrt{3cm^2}\)
32cm2
64cm2
Correct answer is B
No explanation has been provided for this answer.
12.5
25.0
45.0
50.00
Correct answer is D
V = \(\pi r^2 h\)
= 123.2 x 1000
= \(\frac{22}{7}\) x 28 x 28 x h
= 123200 = 88 x 28h
= 2464h
∴ h = \(\frac{123200}{2464}\)
= 50cm
N.B: 1 litre = 1 dm3
= 1000cm3
(-\(\frac{5}{2}\) - 1)
(-\(\frac{5}{2}\) - \(\frac{3}{2}\))
(-\(\frac{5}{6}\) - 1)
(\(\frac{5}{2}\) - \(\frac{3}{2}\))
Correct answer is A
PQ = \(\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}\)\(\begin{pmatrix} u & 4+u \\ -2v & v \end{pmatrix}\)
= \(\begin{pmatrix} (2u-6v & 2(4+u) +3v)\\ 4u-10v & 4(4+u)+5v \end{pmatrix}\)
= \(\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\)
2u - 6v = 1.....(i)
4u - 10v = 0.......(ii)
2(4 + u) + 3v = 0......(iii)
4(4 + u) + 5v = 1......(iv)
2u - 6v = 1 .....(i) x 2
4u - 10v = 0......(ii) x 1
\(\frac{\text{4u - 12v = 0}}{\text{-4u - 10v = 0}}\)
-2v = 2 = v = -1
2u - 6(-1) = 1 = 2u = 5
u = -\(\frac{5}{2}\)
∴ (U, V) = (-\(\frac{5}{2}\) - 1)
-3x2 - 17
-3x2 + 9x - 1
3x2 + 17
3x2 - 9x + 5
Correct answer is B
\(\begin{vmatrix} x & 1 & 0 \\ 1-x & 2 & 3 \\ 1 & 1+x & 4\end{vmatrix}\) = x\(\begin{vmatrix}2 & 3 \\ 1+x & 4\end{vmatrix}\) - \(\begin{vmatrix}1-x & 3 \\ 1 & 4\end{vmatrix}\) = 0
= x[8 - 3(1 + x)] - [4(1 - x)-3] - 0 = x[5 - 3x] - [1 - 4x]
= 5x - 3x2 -1 + 4x
= -3x2 + 9X - 1
-1
4
1
5
Correct answer is C
x \(\ast\) y = xy - y - x, x \(\ast\) 3 = 3x - 3 - x = 2x - 3
2 \(\ast\) x = 2x - x - 2 = x - 2
∴ 2x - 3 = x - 2
x = -2 + 3
= 1