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What is the general equation of a straight line?
(Solved)
What is the general equation of a straight line?
Date posted:
July 12, 2019
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Answers (1)
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In the figure below, PQRS is a rectangle in which PS=10k cm and PQ = 6k cm. M and N are
midpoints of QR and RS...
(Solved)
In the figure below, PQRS is a rectangle in which PS=10k cm and PQ = 6k cm. M and N are
midpoints of QR and RS respectively
a) Find the are of the shaded region
b) Given that the area of the triangle MNR = 30 cm2. find the dimensions of the
rectangle
c) Calculate the sizes of angles θ and B giving your answer to 2 decimal places
Date posted:
June 20, 2019
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Answers (1)
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A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2%...
(Solved)
A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2% in each measurement, determine the greatest value of x+ y/x
if x and y are the width and length of the classroom respectively.
Give your answer to 4 decimal places.
Date posted:
June 20, 2019
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Answers (1)
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The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are...
(Solved)
The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are to be fitted onto the floor.
(a) Calculate the number of tiles needed for the floor.
(b) A dealer wishes to buy enough tiles for fifteen such rooms. The tiles are packed in cartons
each containing 20 tiles. The cost of each carton is Kshs. 800. Calculate
(i) the total cost of the tiles.
(ii) If in addition, the dealer spends Kshs. 2,000 and Kshs. 600 on transport and subsistence
respectively, at what price should he sell each carton in order to make a profit of 12.5%
(Give your answer to the nearest Kshs.)
Date posted:
June 20, 2019
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Answers (1)
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The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o...
(Solved)
The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o and ACB=50o which is in the circle. Calculate the area of ABC
Date posted:
June 20, 2019
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Answers (1)
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A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans....
(Solved)
A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans. The rest is planted with carrots.
If 0.9acres are under carrots, find the total area of the farm
Date posted:
June 20, 2019
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Answers (1)
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The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
(Solved)
The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
Date posted:
June 20, 2019
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Answers (1)
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Calculate the area of the shaded region below, given that AC is an arc of a circle centre B. AB=BC=14cm CD=8cm and angle ABD =...
(Solved)
Calculate the area of the shaded region below, given that AC is an arc of a circle centre B. AB=BC=14cm CD=8cm and angle ABD = 750
Date posted:
June 20, 2019
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Answers (1)
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(a) Expand (1 – 3x)5
(b) use your expansion to estimate the value of (0.997) Correct to 4 d.p.
(Solved)
(a) Expand (1 – 3x)5
(b) use your expansion to estimate the value of (0.997) Correct to 4 d.p.
Date posted:
June 20, 2019
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Answers (1)
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(a) Expand ( 3 + 2x)6 up to the fourth term
(b) Use your expansion to estimate:- (3v3 )6
(Solved)
(a) Expand ( 3 + 2x)6 up to the fourth term
(b) Use your expansion to estimate:- (3√3 )6
Date posted:
June 20, 2019
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Answers (1)
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Two dice are thrown once and their sum noted. Find the probability that the sum is odd
(Solved)
Two dice are thrown once and their sum noted. Find the probability that the sum is odd
Date posted:
June 20, 2019
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Answers (1)
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(a) Use binomial expansion to evaluate (2+3/x)5 up to the fifth term
(b) By expressing 9.5 in the form (2 + 3/x), use the expansion in...
(Solved)
(a) Use binomial expansion to evaluate (2+3/x)5 up to the fifth term
(b) By expressing 9.5 in the form (2 + 3/x), use the expansion in (a) above to calculate (9.5)5
correct to 3 d.p
Date posted:
June 20, 2019
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Answers (1)
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Use the expansion of (x – 0.2)5 to find the exact value of 9.85
(Solved)
Use the expansion of (x – 0.2)5 to find the exact value of 9.85
Date posted:
June 20, 2019
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Answers (1)
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Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).
(Solved)
Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).
Date posted:
June 20, 2019
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Answers (1)
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Expand (1 + x/12) in ascending powers of x upto the fourth term.
Use the four terms to evaluate (5/4)6 to 4 decimal places.
(Solved)
Expand (1 + x/12) in ascending powers of x upto the fourth term.
Use the four terms to evaluate (5/4)6 to 4 decimal places.
Date posted:
June 20, 2019
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Answers (1)
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(a) Expand and simplify the binominal expression ( 1 + ½ x)8
(b) Use the expansion up to the fourth term to evaluate (1.05)8 to 2...
(Solved)
(a) Expand and simplify the binominal expression ( 1 + ½ x)8
(b) Use the expansion up to the fourth term to evaluate (1.05)8 to 2 decimal places
Date posted:
June 20, 2019
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Answers (1)
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Expand (3 + x)4 in ascending powers of x. Use the first three terms of the expansion to
evaluate (3.02)4, correct to 3 decimal places
(Solved)
Expand (3 + x)4 in ascending powers of x. Use the first three terms of the expansion to
evaluate (3.02)4, correct to 3 decimal places
Date posted:
June 20, 2019
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Answers (1)
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a) Using binomial expansion, determine the first five terms of the expansion: (2-1/x)8
b) Use the expansion above to evaluate (1.75)8
(Solved)
a) Using binomial expansion, determine the first five terms of the expansion: (2-1/x)8
b) Use the expansion above to evaluate (1.75)8
Date posted:
June 20, 2019
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Answers (1)
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In the figure above K, M & P are points on a straight line. PN is a tangent of the circle centre O.
Angle KOL =...
(Solved)
In the figure above K, M & P are points on a straight line. PN is a tangent of the circle centre O.
Angle KOL = 130o and angle MKN = 40o. Find, giving reasons, the values of angles.
(i) MLN
(ii)OLN
(iii) LNP
(iv) MPN
(v) LMO
Date posted:
June 20, 2019
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Answers (1)
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The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD
at B angle BCD is 42o
(a) Giving reasons for...
(Solved)
The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD
at B angle BCD is 42o
(a) Giving reasons for your answer, find:-
(i) CBD
(ii) DOB
(iii) DAB
(iv) CDA
b) Show that ADB is isosceles
Date posted:
June 20, 2019
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Answers (1)