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- The figure below represents a scale diagram (not drawn to scale) of a coffee plantation. (Solved)
The figure below represents a scale diagram (not drawn to scale) of a coffee plantation. Given that the scale used is 1cm to 50m. Calculate its area in hectares. AB = 7cm.
Date posted: August 29, 2019. Answers (1)
- Draw a line AB = 7.3cm. Using a ruler and a pair of compasses only, locate a point D such that AD : DB =...(Solved)
Draw a line AB = 7.3cm. Using a ruler and a pair of compasses only, locate a point D such that AD : DB = 1 : 2.
Date posted: August 29, 2019. Answers (1)
- A map is drawn to a scale of 1 : 50,000(Solved)
A map is drawn to a scale of 1 : 50,000 find;
i) The distance in km between two places which are 25cm apart on the map.
ii) The area in cm2 of a field if the actual area of the field is 120,000m2
Date posted: August 29, 2019. Answers (1)
- Without using mathematical tables or a calculator, evaluate. Leaving your answer in surd form,(Solved)
Without using mathematical tables or a calculator, evaluate. Leaving your answer in surd form,
Date posted: August 29, 2019. Answers (1)
- The interior angles of a heptagon are (3p + 25)o,(Solved)
The interior angles of a heptagon are (3p + 25)o, (2p – 20)o (2p + 35)o, 100o, 135o, 150o and 125o. Find P.
Date posted: August 29, 2019. Answers (1)
- Four farmers took their cows to the market. Kilonzo had two more cows than Mutua. Kyengo had three times as many cows as Kilonzo whereas...(Solved)
Four farmers took their cows to the market. Kilonzo had two more cows than Mutua. Kyengo had three times as many cows as Kilonzo whereas Mwondu had ten less cows than both Kilonzo and Kyengo
a) Write a simplified algebraic expression with one variable representing the total number of cows.
b) Three butchers bought all the cows and shared them equally. If each butcher got 17 cows, find the number of cows Mutua had.
Date posted: August 29, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: August 29, 2019. Answers (1)
- Find b when a = 2, c = 4 and H = 6.(Solved)
, Find b when a = 2, c = 4 and H = 6.
Date posted: August 29, 2019. Answers (1)
- A security guard observes that the angle of elevation to the top of an observation tower is 26o.(Solved)
A security guard observes that the angle of elevation to the top of an observation tower is 26o. If he walks 55m towards the base of the tower, the angle becomes 47.5o. What is the height of the tower?
Date posted: August 29, 2019. Answers (1)
- Given the matrix below is a singular matrix.Find the values of t.(Solved)
Given the matrix below is a singular matrix.Find the values of t.
Date posted: August 29, 2019. Answers (1)
- Solve the equation(Solved)
Solve the equation
Date posted: August 29, 2019. Answers (1)
- Solve the following simultaneous inequalities and state the integral values for the solution.(Solved)
Solve the following simultaneous inequalities and state the integral values for the solution.
Date posted: August 29, 2019. Answers (1)
- A line L1, passes through (2, -3) and (-5, 1). Find the equation of another line L2 parallel to L1 and itself passing through (4,...(Solved)
A line L1, passes through (2, -3) and (-5, 1). Find the equation of another line L2 parallel to L1 and itself passing through (4, -2).
Date posted: August 29, 2019. Answers (1)
- Three business people, Mutua, Kamau and Mwiti contributed a total of ksh.164,500 to start a retail business.(Solved)
Three business people, Mutua, Kamau and Mwiti contributed a total of ksh.164,500 to start a retail business. The ratio of contribution of Mutua to Kamau was 2 : 3, that of Kamau to Mwiti was 4 : 5. How much did Mutua contribute?
Date posted: August 29, 2019. Answers (1)
- Without using mathematical tables or calculators, evaluate(Solved)
Without using mathematical tables or calculators, evaluate
Date posted: August 29, 2019. Answers (1)
- The figure below shows a square ABCD point V is vertically above middle of the base ABCD. AB = 10cm and VC = 13cm.
Find;
(a) the...(Solved)
The figure below shows a square ABCD point V is vertically above middle of the base ABCD. AB = 10cm and VC = 13cm.
Find;
(a) the length of diagonal AC
(b) the height of the pyramid
(c) the acute angle between VB and base ABCD.
d) the acute angle between BVA and ABCD.
e) the angle between AVB and DVC.
Date posted: August 28, 2019. Answers (1)
- Income tax is charged on annual income at the rates shown below.
A certain headmaster earns a monthly salary of Ksh. 8570. He is housed in...(Solved)
Income tax is charged on annual income at the rates shown below.
A certain headmaster earns a monthly salary of Ksh. 8570. He is housed in the school and as a result, his taxable income is 15% more than his salary. He is entitled to a family tax relief of Kshs. 150 per month.
(a) How much tax does he pay in a year.
(b) From the headmaster’s salary the following deductions are also made every month;
W.C.P.S 2% of gross salary
N.H.I.F Kshs. 20
House rent, water and furniture charges Kshs. 246
Calculate the headmaster’s net salary.
Date posted: August 28, 2019. Answers (1)
- Grade A tea costs Ksh 100 per kg while grade B costs ksh 150 per kg. Find the ratio in which the two grades should...(Solved)
Grade A tea costs Ksh 100 per kg while grade B costs ksh 150 per kg. Find the ratio in which the two grades should be mixed to get a mixture worth ksh.140 per kg.
Date posted: August 28, 2019. Answers (1)
- A quantity P is partly constant and partly varies as the cube of Q. When Q=1, P=23 and when Q =2, P= 44. Find the...(Solved)
A quantity P is partly constant and partly varies as the cube of Q. When Q=1, P=23 and when Q =2, P= 44. Find the value of P when Q = 5.
Date posted: August 28, 2019. Answers (1)
- Find the sum to 20 terms of the series
Log2 + Log 4 + Log 8 + Log 16 + …….Give your answer to 3 significant...(Solved)
Find the sum to 20 terms of the series
Log2 + Log 4 + Log 8 + Log 16 + …….Give your answer to 3 significant figures.
Date posted: August 28, 2019. Answers (1)