Let smallest angle be x
Largest angle is 10x + 10
therefore x + 10x + 10 + 60 = 180o
11x = 110o; x = 10
Largest angle is (10x + 10)
= (10 x 5.5 + 10) = 100 + 10
= 110o
johnmulu answered the question on March 6, 2017 at 06:37
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Two farm workers Mutua and Musyoka can cultivate a field in 6 days. Mutua alone can complete the cultivation in 15 days. After Mutua and Musyoka had worked for 4 days, Mutua fell sick
(Solved)
Two farm workers Mutua and Musyoka can cultivate a field in 6 days. Mutua alone can complete the cultivation in 15 days. After Mutua and Musyoka had worked for 4 days, Mutua fell sick. Find the time taken by Musyoka to complete the cultivation.
Date posted:
March 6, 2017
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Answers (1)
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Evaluate$\frac{14\div \frac{1}{3} of\; 5\frac{1}{4} - \;\frac{3}{4}\times\;1 \frac{1}{3}}{\frac{3}{5}\times 6\frac{1}{4} + 1\frac{1}{2}}$
(Solved)
Without using a calculator evaluate
$\frac{14\div \frac{1}{3} of\; 5\frac{1}{4} - \;\frac{3}{4}\times\; 1\frac{1}{3}}{\frac{3}{5}\times 6\frac{1}{4} + 1\frac{1}{2}}$
Date posted:
March 6, 2017
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Answers (1)
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A garage owner bought a certain number of litres of petrol for sh 760. If the petrol cost sh x per litre........
(Solved)
A garage owner bought a certain number of litres of petrol for sh 760. If the petrol cost sh x per litre
a) write down an expression for the number of litres of petrol he obtained
b) When the price per litre was up by 25 cents he found that he obtained 5 litres fewer for the same sum of money
i) Form an equation in x and show that it reduces to 4x2 + x – 95 = 0
ii) Solve the equation and calculate the price of petrol after the rise
Date posted:
March 6, 2017
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Answers (1)
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In harambee organized in aid of a school development project, it was decided that each , man present would pay sh 200 and each woman sh 150. There were altogether 400 men and women present. If the harambee raised sh 69 200 in this way
(Solved)
In harambee organized in aid of a school development project, it was decided that each , man present would pay sh 200 and each woman sh 150. There were altogether 400 men and women present. If the harambee raised sh 69 200 in this way, Find the number of men present
Date posted:
March 6, 2017
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Answers (1)
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Two grades of coffee A and grade B costing sh 30 per kg and sh 24 to produce a mixture costing sh 26.40 per kg. Determine the ratio in which grade A and B were mixed
(Solved)
Two grades of coffee A and grade B costing sh 30 per kg and sh 24 to produce a mixture costing sh 26.40 per kg. Determine the ratio in which grade A and B were mixed
Date posted:
March 6, 2017
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Answers (1)
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Use tables of square roots and squares to evaluate to 4 significant figures 4.3462 + $\sqrt{47.32}$
(Solved)
Use tables of square roots and squares to evaluate to 4 significant figures
4.3462 + $\sqrt{47.32}$
Date posted:
March 6, 2017
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Answers (1)
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The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction
(Solved)
The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction
Date posted:
March 6, 2017
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Answers (1)
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Evaluate $\frac{200\div 4 – (40 - 54)}{-72\div 6 + 20\; of\; 6 – 9\times 4}$
(Solved)
Evaluate
$\frac{200\div 4 – (40 - 54)}{-72\div 6 + 20\; of\; 6 – 9\times 4}$
Date posted:
March 6, 2017
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Answers (1)
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A number between 200 and 300 has its tens digit four more than the units digit. If the number is written in the reverse order the number increases by 99. Find the number.
(Solved)
A number between 200 and 300 has its tens digit four more than the units digit. If the number is written in the reverse order the number increases by 99. Find the number.
Date posted:
March 6, 2017
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Answers (1)
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Find the sum of all the prime numbers between 1 and 10.
(Solved)
Find the sum of all the prime numbers between 1 and 10.
Date posted:
March 6, 2017
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Answers (1)
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Find the equation of a straight line which passes through the point of intersection of lines x – 3y = 4 and 3x + y = 2
(Solved)
Find the equation of a straight line which passes through the point of intersection of lines x – 3y = 4 and 3x + y = 2 and is parallel to the line 3x + 4y = 0
Date posted:
March 6, 2017
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Answers (1)
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Given that a = 2, b = 1 and c = 3, find the value of
(Solved)
Given that a = 2, b = 1 and c = 3, find the value of
$\frac{3a^2 - 2b^2 + 4b}{2ac + 2b^3 - 3c}$
Date posted:
March 2, 2017
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Answers (1)
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If log2 = 0.3010, log3 = 0.4771 and log 5 = 0.6990, Find the logarithm of 3.3
(Solved)
If log2 = 0.3010, log3 = 0.4771 and log 5 = 0.6990, Find the logarithm of 3.3
Date posted:
March 2, 2017
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Answers (1)
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A woman went on a journey by walking,by bus and by matatu. She went by bus for $\frac{4}{5}$ of the distance, then by matatu $\frac{2}{3}$ of the rest of the distance, then walked the remaining distance
(Solved)
A woman went on a journey by walking,by bus and by matatu. She went by bus for $\frac{4}{5}$ of the distance, then by matatu $\frac{2}{3}$ of the rest of the distance, then walked the remaining distance. The distance travelled by the bus was 55 km more than the distance walked. Find the total distance
Date posted:
March 2, 2017
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Answers (1)
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Without using tables, find the value of $\frac{P}{Q}$ when P = 1.44 x 10-6
(Solved)
Without using tables, find the value of $\frac{P}{Q}$ when P = 1.44 x 10-6 and Q = 4.8 x 10-4 giving your answers in the form A x 10n where A is A number between 1 to 10 and n is an integer.
Date posted:
March 2, 2017
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Answers (1)
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Find the L.C.M. of x2 - xy - 12y2 and x - 4y, Hence simplify
(Solved)
Find the L.C.M. of x2 - xy - 12y2 and x - 4y, Hence simplify
$\frac{7}{x^2 - xy + 12y^2}$ - $\frac{1}{x - 4y}$
Date posted:
March 2, 2017
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Answers (1)
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Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:
(Solved)
Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:
a) At what time did they meet?
b) How far from town B was their meeting point?
c) How far apart were they at 10.30 a.m?
Date posted:
March 2, 2017
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Answers (1)
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a) Divide 1 000 cm3 in the ratio of
(Solved)
a) Divide 1 000 cm3 in the ratio of $\frac{1}{4}$: $\frac{1}{2}$: $\frac{1}{5}$ leaving your answer nearest to 1 cm
b) In an experiment, a boy mixed some acid solution 45% concentration with an acid solution. In what portion should the two acids be mixed in order to get 100 cm3 of solution of 30% concentration?
c) Two blends of tea costing sh 140 and sh 160 per kilogram respectively are mixed in the proportion of 2:3 by mass. The mixture is sold at sh 240 per kilogram. Find the percentage gain
Date posted:
March 2, 2017
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Answers (1)
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Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.
(Solved)
Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.
a) What is the depth of the water in the tank at 8.30 a.m
b) If the tank is 1.2 m high, and a hole at the bottom through which water leaks at a rate of 11.6 cm 3 per second, determine the time at which the tank will be filled.
Date posted:
March 2, 2017
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Answers (1)
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ABCD is a parallelogram with A(1,1) and C(8, 10). The equation of AB is 4x - 5y = -1 and the equation of BC is 5x - 2y = 20. Determine
(Solved)
ABCD is a parallelogram with A(1,1) and C(8, 10). The equation of AB is 4x - 5y = -1 and the equation of BC is 5x - 2y = 20. Determine
a) The coordinates of M, where M is the midpoint of intersection of the diagonals
b) The coordinates of the vertices B and D
Date posted:
March 2, 2017
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Answers (1)