The length of a piece of stick is 1.75m. A girl measured it as 1.80m. Find the percentage error
\(\frac{28}{7}\)%
\(\frac{29}{7}\)%
5%
\(\frac{20}{7}\)%
Correct answer is D
Error = 1.80m - 1.75m = 0.05m
%error = \(\frac{\text{error}}{\text{true measurement}}\) x 100%
45o
60o
75o
90o
Correct answer is A
Perimeter of sector = 2r + \(\frac{\theta}{360^o} \times 2\pi r\)
\(\pi + 8 = 2 \times 4 + \frac{\theta}{3360^o} \times 2 \pi \times 4\)
\(\pi + 8 + \frac{\theta}{360^o} \times 8 \pi\)
P + 8 - 8 = \(\frac{\theta \pi}{456o}\)
\(\pi = \frac{\theta \pi}{45^o}\)
\(\theta \pi = 45^o\)
Which of these angles can be constructed using ruler and a pair of compasses only?
115o
125o
135o
145o
Correct answer is C
No explanation has been provided for this answer.
Simplify \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)
3
2
\(\frac{3}{2}\)
\(\frac{3}{4}\)
Correct answer is D
\(\frac{\log \sqrt{27}}{\log \sqrt{81}}\) = \(\frac{\log 27\frac{1}{2}}{81\frac{1}{2}}\)
= \(\frac{\log 3\frac{1}{2}}{\log 3^2}\)
\(\frac{\frac{3}{2} \log 3}{2 \log 3} = \frac{3}{2} \div \frac{2}{1}\)
= \(\frac{3}{2} \times \frac{1}{2}\)
= \(\frac{3}{4}\)
From the equation whose roots are x = \(\frac{1}{2}\) and -\(\frac{2}{3}\)
6x2 - x + 2 = 0
6x2 - x - 2 = 0
6x2 + x + 2 = 0
6x2 + x - 2 = 0
Correct answer is D
x = \(\frac{1}{2}\) and x = \(\frac{-2}{3}\)
expand (x - \(\frac{1}{2}\))(x + \(\frac{2}{3}\)) = 0
x(x + \(\frac{2}{3}\)) - \(\frac{1}{2}(x + \frac{2}{3}\)) = 0
x2 + \(\frac{4x - 3x}{6} - \frac{2}{6} = 0\)
\(x^2 + \frac{x}{6} - 2 = 0\)
6x2 + x - 2 = 0