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Mathematics

The document contains mathematical problems and solutions compiled by Wale Rsu, focusing on equations and area calculations. It includes examples of solving for variables in equations and finding the speed of a ball based on its time of flight. The correct answers to the problems are provided along with the methods used to arrive at those solutions.

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g27041057
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5 views18 pages

Mathematics

The document contains mathematical problems and solutions compiled by Wale Rsu, focusing on equations and area calculations. It includes examples of solving for variables in equations and finding the speed of a ball based on its time of flight. The correct answers to the problems are provided along with the methods used to arrive at those solutions.

Uploaded by

g27041057
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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MATHEMATICS

COMPILED BY WALE RSU- 07031683502 MATHEMATICS

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COMPILED BY WALE RSU- 07031683502 MATHEMATICS

A.x = 21/2; y = 4 A. 45 m2

B. 36.98 m2
B.x = 41/3; y = 31/2
C. 40 m2
C.x = 21/4; y = 31/5
D. 22m2
D.x = 1; y = 1/2

The correct answer is option [D]. Solution: 3x + The correct answer is option [B]. Solution: Hint
4y = 5 ® [i], 7x + 2y = 8 ® [ii]. [The area of triangle if not right angle is Ö(s[s -
Multiply equation [i] by 7 and equation [ii] by 3 a][s - b][s - c]), where s = / ]; s = / = /
a+b+c
2 15 + 10 +
8
2
33
2

gives 21x + 28y = 35 ® [iii], 21x + 6y = Area = Ö( / [ / ][ / ][ / ]) = 36.98m


33
2
3
2
13
2
17
2
2

24 ® [iv]. QUESTION NO: 7


Subtract equation [iv] from equation [iii],

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partly constant and which partly varies inversely as the
time of flight of the balls. When a ball has been travelling
for 1/6 second its speed reaches 128km/h. When it has
been travelling for 1/2 second its speed is 46km/h. Find the
speed of the ball when it has been travelling for 1/4 second.

A. 158 km/mins

B. 88 km/mins

C. 88 km/h

D. 158 km/h

The correct answer is option [C]. Solution: Let the


speed be represented by S and the time of flight be t;
then S = a + / , where a and b are constants. Using
b
t

the equation solve for the contants and substitute into


the equation to find the speed when the time of flight
is / second.
1
4

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