Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)
\(\frac{23}{5}\)
-\(\frac{23}{5}\)
-\(\frac{1}{8}\)
\(\frac{21}{7}\)
Correct answer is C
\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)
\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) = \(\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}\)
\(\frac{3 - 4}{4 \times 2}\)
= \(\frac{-1}{8}\)
Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o.
18cm
(18 + \(\frac{9\pi}{5}\))cm
(9 + \(\frac{9\pi}{5}\))cm
\(\frac{9\pi}{5}\)cm
Correct answer is B
Perimeter = 2r + \(\frac{\theta}{360}\) x 2\(\pi\)r
2(9) + \(\frac{36}{360}\) x 2 x \(\pi\) x 9 = 18 + \(\frac{9\pi}{5}\)
15
25
30
50
Correct answer is B
Let x represent total number of pencils shared
B : S : T
2 : 3 : 5
2+3+5 = 10
\(\frac{2}{10}\) x x = 5
\(\frac{2x}{10}\) = 5
2x = 50
x = 25
Simplify \(\frac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form
1.36 x 10-4
1.36 x 10-3
1.36 x 10-1
1.36 x 10-2
Correct answer is D
\(\frac{0.026 \times 0.36}{0.69}\) = \(\frac{26 \times 10^-3 \times 36 \times 10^-2}{69 \times 10^-2}\)
= 0.01356 = 1.36 x 10-2
{1, 3, 5, 7, 9, 11, 13, 15}
{2, 3, 5, 7, 9, 11, 13}
{1, 3, 5, 7, 9, 11, 13}
{2, 3, 5, 7, 11, 15}
Correct answer is C
U = {1, 2, 3, 4, 5......14}
P = {2, 4, 6, 8, 10, 12, 14}
P' = {1, 3, 5, 7, 9, 11,13}