If cos(x + 40)o = 0.0872, what is the value of x?
85o
75o
65o
45o
Correct answer is D
cos(x + 40)o = 0.0872
x + 40 = cos-10.0872
x + 40o = 84.99o
x = 84.99o - 40o
x = 44.99
x = 45o
In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
/XY/ + /YZ/ = /XZ/
/XY/ - /YZ/ = /XZ/
/XY/2 = /Y/2 - /XY/2
/YZ/2 = /XZ/2 + /XY/2
Correct answer is D
No explanation has been provided for this answer.
360o
252o
246o
234o
Correct answer is B
Let 0 = angle of the minor sector
angle of the major sector = 360 - \(\theta\)(angle at a point)
2 \(\pi r\) = 54 + 126(i.e circumference of minor and major arc)
2\(\pi r = 180^o\)
r = \(\frac{180}{2\pi}\) = \(\frac{90}{\pi}\)
Lenght of ninor arc
= \(\frac{\theta}{360} \times 2 \pi r\)
54 = \(\frac{\theta}{360} \times 3 \pi r\)
\(\theta = \frac{360 \times 54}{2 \pi r}\)
but r = \(\frac{90}{\pi}\) substituting \(\frac{90}{\pi}\) for r
\(\theta = \frac{360 \times 54 \times \pi}{2 \times \pi \times 90}\)
\(\theta = 2 \times 54 = 108^o\)
angle of the major sector = 360 - 108o
= 252o
14cm
9cm
8cm
7cm
Correct answer is A
Curved surface area = 2\(\pi h\)
704 = 2 x \(\frac{22}{7} \times 8 \times h\)
704 = \(\frac{352}{7}\)h
352h = 704 x 7
h = \(\frac{704 \times 7}{352}\)
= \(\frac{4928}{352}\)
h = 14cm
Solve the inequality: \(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
m \(\leq \frac{5}{4}\)
m \(\geq \frac{5}{4}\)
m \(\leq - \frac{1}{11}\)
m \(\geq - \frac{1}{11}\)
Correct answer is C
\(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
= \(\frac{-2m - 5}{4} \geq \frac{5m - 14}{12}\)
12(-2m - 5) \(\geq\) 4(5m - 14)
-24m - 60 \(\geq\) 20m - 56
-24m - 20m \(\geq\) -56 + 60
44m \(\geq\) 4
m \(\leq \frac{4}{-44}\)
m \(\leq \frac{-1}{11}\)