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- A pole stands directly across the street from a building. The angle of depression of the top of the building from the top
of the pole...(Solved)
A pole stands directly across the street from a building. The angle of depression of the top of the building from the top
of the pole is 24.50 and the angle of elevation of the top of the pole from the foot of the building is 48.60. Given that the
distance between the pole and the building is 50 m, calculate to 2 decimal places.
a) the height of the pole
b) the difference in height between the pole and the building.
c) the height of the building.
d) the angle of elevation of the top of the building from the top of the pole.
Date posted: May 6, 2019. Answers (1)
- A triangular plot PQR is such that PQ = 72m, QR = 80m and PR = 84m(Solved)
A triangular plot PQR is such that PQ = 72m, QR = 80m and PR = 84m
calculate.
i) the area of the plot in square metres
ii) the largest angle in the triangle
iii) The perpendicular height from P to the side QR
Date posted: May 6, 2019. Answers (1)
- The velocity of a particle moving in a straight line after t seconds is given by V = 2t2 β t-6m/s. calculate(Solved)
The velocity of a particle moving in a straight line after t seconds is given by V = 2t2 β t-6m/s. calculate
a) the acceleration of particle after 2 seconds
b) the distance covered during the third second.
c) the time when the particle will be momentarily at rest.
d) the minimum velocity attained.
Date posted: May 6, 2019. Answers (1)
- A hotel planned to buy sacks of charcoal for a total of sh. 30,000. Before the hotel could buy the charcoal, the price per
sack was...(Solved)
A hotel planned to buy sacks of charcoal for a total of sh. 30,000. Before the hotel could buy the charcoal, the price per
sack was reduced by sh. 100. This reduction in price enabled the hotel to buy 10 more sacks of charcoal.
a) Determine the number of sacks that the hotel bought.
b) Calculate the percentage change in price
c) If the charcoal dealer makes sh. 50 per bag as commission, calculate the total commission.
Date posted: May 6, 2019. Answers (1)
- i) It would take Alex working alone 30 days, Bernard 40 days and Charles 60 days to complete a task. All three start
working together but...(Solved)
i) It would take Alex working alone 30 days, Bernard 40 days and Charles 60 days to complete a task. All three start
working together but after five days, Alex falls sick and cannot continue. Determine how many more days it will take
Bernard and Charles to complete the task.
ii) A dealer has three grades of coffee, A, B and C. Grade A costs sh. 140 per kg., grade B costs sh.16 per kg and grade C
cost sh. 256 per kg.
a) The dealer mixes grade A and B in the ratio 5:3 to make a brand of coffee which he sells at sh. 180 per kg. Calculate
the percentage profit he makes.
b) The dealer maker a new brand by mixing the three grades of coffee in three in the ratio A: B = 5:3 and B: C = 2:5.
Determine the selling price of the new brand if he has to make a 30% profit.
Date posted: May 6, 2019. Answers (1)
- The figure below represents a solid cuboid ABCDEFGH with a rectangular base. AC = 13 cm, BC = 5 cm and CH = 15cm. M...(Solved)
The figure below represents a solid cuboid ABCDEFGH with a rectangular base. AC = 13 cm, BC = 5 cm and CH = 15cm. M is the midpoint of GH.
a) Calculate the surface area of the cuboid
b) Calculate the angle between line AH and the base ABCD.
c) Calculate the angle between the base ABCD and the plane ADM
d) Calculate the angle between line AC and MF
Date posted: May 6, 2019. Answers (1)
- A two digit number is such that the sum of the digits is 11. When the digits are reversed, the new number exceeds the
original number...(Solved)
A two digit number is such that the sum of the digits is 11. When the digits are reversed, the new number exceeds the
original number by 9. Calculate the original number.
Date posted: May 6, 2019. Answers (1)
- The figure below represents a solid regular hexagon based pyramid of side 4cm and height 10 cm. It is cut along a
plane 3 cm from...(Solved)
The figure below represents a solid regular hexagon based pyramid of side 4cm and height 10 cm. It is cut along a
plane 3 cm from the vertex. Calculate the volume of the remaining part.
Date posted: May 6, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currencies at the exchange rates shown below.(Solved)
A Kenyan bank buys and sells foreign currencies at the exchange rates shown below.
A tourist arrived in Kenya with 11,155 Euros. He converted all the Euros to Kenya shillings at the bank. He spent ksh.
1,130,200.50 while in Kenya and converted the remaining Kenya shillings into US dollars at the bank. Find the amount
in dollars that he received correct to 2 decimal places.
Date posted: May 6, 2019. Answers (1)
- The line 2y β 4x -5 = 0 meets another line L at appoint where y = 4.5. Find the equation of L in the...(Solved)
The line 2y β 4x -5 = 0 meets another line L at appoint where y = 4.5. Find the equation of L in the form y = mc+c if
the lines are perpendicular to each other.
Date posted: May 6, 2019. Answers (1)
- Without using mathematical tables or a calculator, solve the equation.(Solved)
Without using mathematical tables or a calculator, solve the equation.
Date posted: May 6, 2019. Answers (1)
- Given the information below,find matrix R.(Solved)
Given the information below,find matrix R.
Date posted: May 6, 2019. Answers (1)
- Given that sin ? =12/13,find without using mathematical tables or a calculator tan ( 90 β ?)0(Solved)
Given that sin Ρ² =12/13,find without using mathematical tables or a calculator tan ( 90 β Ρ²)0
Date posted: May 6, 2019. Answers (1)
- Given the vectors a,b and c.(Solved)
Given the vectors a,b and c.
.Find
giving your answer to 4 significant figures.
Date posted: May 6, 2019. Answers (1)
- Using a ruler and a pair of compasses only, draw a line AB = 7cm long. Construct < BAC = 67.50. Use line AC to...(Solved)
Using a ruler and a pair of compasses only, draw a line AB = 7cm long. Construct < BAC = 67.50. Use line AC to divide
AB into 3 equal parts.
Date posted: May 6, 2019. Answers (1)
- A truck left Nairobi at 7a.m for Nakuru at an average speed of 60km/hr. At 8 a.m a bus left Nakuru for Nairobi at an
average...(Solved)
A truck left Nairobi at 7a.m for Nakuru at an average speed of 60km/hr. At 8 a.m a bus left Nakuru for Nairobi at an
average speed of 120km/hr. How far from Nairobi did the vehicles meet if Nairobi is 160 km from Nakuru.
Date posted: May 6, 2019. Answers (1)
- Three bells ring at intervals of 18 minutes, 30 minutes and 42 minutes .the bells will next ring together at 10.00am.
Find the time the bells...(Solved)
Three bells ring at intervals of 18 minutes, 30 minutes and 42 minutes .the bells will next ring together at 10.00am.
Find the time the bells last rang together.
Date posted: May 6, 2019. Answers (1)
- Given that 84y x 27x = 36, find the exact values of x and y.(Solved)
Given that 84y x 27x = 36, find the exact values of x and y.
Date posted: May 6, 2019. Answers (1)
- The area of a rhombus is 120 cm2. Given that one of its diagonals is 24cm, calculate the perimeter of the rhombus.(Solved)
The area of a rhombus is 120 cm2. Given that one of its diagonals is 24cm, calculate the perimeter of the rhombus.
Date posted: May 6, 2019. Answers (1)
- Simplify the expression:(Solved)
Simplify the expression:
Date posted: May 6, 2019. Answers (1)