Find the value of L in the frustum
5cm
6cm
7cm
8cm
Correct answer is A
No explanation has been provided for this answer.
In the figure, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units
3
4
5
6
Correct answer is A
In \(\bigtriangleup\)WOP, b2 = r2 - (4.502...........(i)
In \(\bigtriangleup\)WOT, b\(\bigtriangleup\) + (4.5 + x)2 = a2...........(ii)
In \(\bigtriangleup\)ZOT, a2 = 62 + r2 ..........(iii)
subst. equation (iii) and (i) in eqn (ii)
r2 - (4.5)2 + (4.5 + x)2 = 36 = 20.25
= (4.5 + x)2 = \(\sqrt{56.25}\) = (4.5 + x)
= 56.25
= 4.5 + x = 7.5
x = 3.0m
In the figure, PQRS is a circle with ST||RQ. Find the value of x if PT = pS
70o
55o
40o
35o
Correct answer is B
< PST = < RQT = x(corresponding angle)
< PST = < PTS = < PTS x (PS = PT0
< SRQ = < SPT = 180o (sum of < on straight line)
< SPT = 180o - 110o = 70o
in < SPT, < PST = PTS = < PSt = 180o
2x + 70 = 180o
2x = 180o - 70o = 110o
x = \(\frac{110^o}{2}\) = 55o
34o
42o
52o
76o
Correct answer is C
< EFH = < EGH = 34º (angles n the same segment)
< GHF = < GEF = 42º(angles in the same segment)
< FOG = 42 + 34 = 76º (exterior angle)
< FOG = < EOH = 76º (vertically opposite angle)
< EDO = 90º, < DOE = \(\frac{76}{2}\) = 38º
< HEG = 90º - 38º = 52º
the shaded portion in the graph is represented by
y + x - x \(\leq\) 0, y - x \(\leq\) 0
y - x + x, 3 \(\leq\) 0, y - x \(\geq\) 0
y + x - 3 \(\geq\) 0, y + x \(\leq\) 0
y - x + x3 \(\geq\) 0, y + x \(\leq\) 0
Correct answer is C
No explanation has been provided for this answer.
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