\(11.6cm^2\)
\(12.7cm^2\)
\(10.2cm^2\)
\(9.4cm^2\)
Correct answer is A
\(\theta = 115° , radius = 3.4cm^2\)
Area of a sector = \(\frac{\theta}{360} \times \pi r^2\)
= \(\frac{115}{360} \times \frac{22}{7} \times 3.4\times 3.4\)
= \(\frac{29246.4}{2520}\)
= \(11.6cm^2\)
15.44%
15.43%
15.42%
15.45%
Correct answer is D
Original population = 1,230
New population = 1,040
Decrease in population = 1,230 – 1,040 = 190
Percentage decrease in population = decrease in population x 100%
original population
= \(\frac {190}{1,230}\) x 100 = 15.45%
-49
64
113
15
Correct answer is D
Given that, a * b = a\(^2\)b and a ^ b = 2a + b
(-4 * 2) = (-4)\(^2\) x 2 = 16 x 2 = 32
(7 * -1) = 7\(^2\) x (-1) = 49 x (-1) = -49
∴ (-4 * 2) ^ (7 * -1) = 2(32) + (-49) = 64 - 49 = 15
How many different 8 letter words are possible using the letters of the word SYLLABUS?
(8 - 1)!
\(\frac{8!}{2!}\)
\(\frac{8!}{2! 2!}\)
8!
Correct answer is C
SYLLABUS has 8 letters, 2S's and 2L's
\(\frac{8!}{2! 2!}\)
x = 2,3
x = 0,3
x = \(\frac{1}{2}\), \(\frac{1}{3}\)
x = \(\frac{1}{2}\), \(\frac{-1}{3}\)
Correct answer is C
6x\(^2\) = 5x - 1
→ 6x\(^2\) - 5x + 1 = 0
Factorization:
factors are -3x and -2x
6x\(^2\) - 3x -2x + 1 = 0
(6x\(^2\) - 3x) (-2x + 1) = 0
3x(2x-1) -1(2x-1) = 0
(3x-1) (2x-1) = 0
x = \(\frac{1}{2}\), \(\frac{1}{3}\)