A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area
20cm2
24cm2
48cm2
96cm2
Correct answer is D
No explanation has been provided for this answer.
108cm2
90cm2
80cm2
72cm2
Correct answer is B
V = L x B x H
V = \(2x \times x \times x = 2x^3\)
= 54cm3
i.e. 2x3 = 54
x3 = \(\frac{54}{2}\) = 27
x = 3\(\sqrt{27}\)
x = 3
L = 2x i.e. 2 x 3 = 6cm
B = x i.e. x = 3cm
H = x i.e. x = 3cm
but A = 2(LB + LH + BH) = 2(6 x 3) + (6 x 3) + (3 x 3) = 2(18 + 18 + 9) = 2(45)
= 90cm2
-\(\frac{1}{6}\)
- \(\frac{1}{2}\)
-1
-1\(\frac{1}{6}\)
Correct answer is D
(\(\frac{m}{2} - 1\frac{1}{4}\))(m + \(\frac{2}{3}\))
(\(\frac{m}{2} - \frac{3}{2}\))(\(\frac{m}{1} + \frac{2}{3}\))
= \(\frac{m^2}{3} + \frac{3m}{6} - \frac{6}{6}\)
= \(\frac{2m - 9m}{6}\)
= \(\frac{-7m}{6}\)
= 1\(\frac{1}{6}\)
The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?
16
12
10
8
Correct answer is B
Sum = (n - 2)180
1800 = (n - 2)180
divide both sides by 180o
\(\frac{1800}{180}\) = (n - 2)\(\frac{180}{180}\)
10 = n - 2
10 + 2 = n
n = 12
Solve (\(\frac{27}{125}\))-\(\frac{1}{3}\) x (\(\frac{4}{9}\))\(\frac{1}{2}\)
\(\frac{10}{9}\)
\(\frac{9}{10}\)
\(\frac{2}{5}\)
\(\frac{12}{125}\)
Correct answer is A
(\(\frac{27}{125}\))-\(\frac{1}{3}\) x (\(\frac{4}{9}\))\(\frac{1}{2}\)
= (\(\frac{3^3}{5^3}\))-\(\frac{1}{3}\)-\(\frac{1}{3}\) x (\(\frac{3^2}{3^2}\))\(\frac{1}{2}\) -\(\frac{1}{2}\)
= \(\frac{3^{-1}}{3^{-1}} \times \frac{2}{3}\)
= \(\frac{\frac{1}{3}}{\frac{1}{5}} \times \frac{2}{3}\)
\(\frac{1}{3} \times \frac{5}{1} \times {2}{3} = \frac{10}{9}\)
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