252m
500m
250m
255m
Correct answer is C
\(\frac{h}{500}\) = sin 30\(^o\)
= 500 sin 30\(^o\)
= 500 x \(\frac{1}{2}\)
= 250m
7
9
15
42
Correct answer is B
x \(\frac{\sum x}{N}\)
15 = \(\frac{\sum x }{N}\)
\(\sum x\) = 15N........(i)
y = \(\frac{\sum y}{Ny} = \frac{\sum x + 45}{N + 1}\)
\(\frac{18}{1} = \frac{15N + 45}{N + 1}\)
18(N + 1) = 15N + 45
18N + 18 = 15N + 45
18N - 15N = 45 - 18
3N = 27
N = \(\frac{27}{3}\)
= 9
The sum of the interior angle of pentagon is 6x + 6y. Find y in terms of x.
y = 6 - x
y = 90 - x
y = 120 - x
y = 150 - x
Correct answer is B
Sum of interior angles = (2n - 4) 90\(^o\)
For perntagon, n = 5
Sum of interior angles = 6 x 90\(^o\) = 540\(^o\)
6x + 6y = 540\(^o\)
6(x + y) = 540\(^o\)
x + y = \(\frac{540^o}{6}\) = 90\(^o\)
y = 90\(^o\)
y = 90 - x
4
8
16
20
Correct answer is D
40 = 32 - x + x + 24 + 4
40 = 60 - x
x = 60 - 40
x = 20
\(\frac{3}{2}\)
\(\frac{2}{3}\)
\(\frac{1}{2}\)
\(\frac{1}{4}\)
Correct answer is A
\(\frac{h}{n - 2} = \frac{n + 3}{n}\)
n\(^2\) = (n + 3) (n - 2)
n\(^2\) = n\(^2\) + n - 6
n\(^2\) + n - 6 - n\(^2\) = 0
n - 6 = 0
n = 6
Common ratio: \(\frac{n}{n - 2} = \frac{6}{6 - 2} = \frac{6}{4}\) = \(\frac{3}{2}\)
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