Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.
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Question 461: If two angles of a triangle are 30o each and the longest side is 10cm. Calculate the length of each of the other sides
Options:
A) 5cm
B) 4cm
C) 3√3 cm
D) 10cm
Show Answer
The correct answer is D .
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Question 462:

The angles marked in the figure are measured in degrees. Find x.
Options:
A) 45
B) 90
C) 60
D) 15
E) 30
Show Answer
The correct answer is E .
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Question 463:
Integrate the expression 6x - 2x + 1
Options:
A) 3x - 2x + x + c
B) 2x - x + x + c
C) 2x – 3x + c
D) x + x – x + c
Show Answer
The correct answer is B .
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Question 464: The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is
Options:
A) n(3n - 0.5)
B) n(3n + 2)
C) n(3n + 2.5)
D) n(3n + 5)
Show Answer
The correct answer is B .
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Question 465: Find the value of x in the equation: 9x = 729
Options:
A) 81
B) 27
C) 18
D) 9
E) 3
Show Answer
The correct answer is A .
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Question 466:

In the diagram, QP//ST:PQR = 34 QRS = 73 and RS = RT. Find SRT
Options:
A) 68
B) 102
C) 107
D) 141
Show Answer
The correct answer is C .
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Question 467: If 32y + 6(3y) = 27. Find y
Options:
A) 3
B) -1
C) 2
D) -3
E) 1
Show Answer
The correct answer is E .
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Question 468: A cone is formed by bending a sector of a circle having an angle of 210o. Find the radius of the base of the cone if the diameter of the circle is 12cm.
Options:
A) 12cm
B) 7.00cm
C) 1.75cm
D) 21cm
E) 3.50cm
Show Answer
The correct answer is E .
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Question 469:
A surveyor walks 500m up a hill which slopes at an angle of 30. Calculate the vertical height through which he rises
Options:
A) 252m
B) 500m
C) 250m
D) 255m
Show Answer
The correct answer is C .
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Question 470: Rationalize 5 ÷ (2 − √3)
Options:
A) 3(2 + √5)
B) 2(3 + √5)
C) 5(2 + √3)
D) 3 √2 + 1
Show Answer
The correct answer is C .