7.5 cm
4.5 cm
4.0 cm
2.0 cm
Correct answer is C
165 = 2 x \(\frac{22}{7}\) x \(\frac{7}{2}\) x h + 2 x \(\frac{22}{7}\) x \(\frac{7}{2}\) x \(\frac{7}{2}\)
165 = 22h + 77
\(\frac{22h}{22} = \frac{88}{22}\)
height = 4cm
Which of these values would make \(\frac{3p^-}{p^{2-}}\) undefined?
1
\(\frac{1}{3}\)
-\(\frac{1}{3}\)
-1
Correct answer is A
P\(^2\) - p = 0
p(p - 1) = 0
p = 0 or p = 1
Simplify: \(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
\(\frac{x - 7}{x + 7}\)
\(\frac{x + 7}{x - 7}\)
\(\frac{x - 2}{x + 4}\)
\(\frac{x + 2}{x - 2}\)
Correct answer is D
\(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
\(\frac{(x - 7)(x + 2)}{(x - 7)(x - 2)}\)
= \(\frac{x + 2}{x - 2}\)
\(\frac{1}{6}\)
\(\frac{1}{4}\)
\(\frac{2}{3}\)
\(\frac{1}{2}\)
Correct answer is C
Total number of people in the lift = 8 boys + 4 girls
= 12 people
probability that a boy comes out = \(\frac{8}{12}\) = \(\frac{2}{3}\)
If (0.25)\(^y\) = 32, find the value of y.
y = - \(\frac{5}{2}\)
y = -\(\frac{3}{2}\)
y = \(\frac{3}{2}\)
y = \(\frac{5}{2}\)
Correct answer is A
(0.25)\(^y\) = 32
2\(^{-2y}\) = 3\(^{2}\)
2 - 2y = 5
y = - \(\frac{5}{2}\)