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- Simplify the following.(Solved)
Simplify the following.
Date posted: April 24, 2019. Answers (1)
- A cylinder of radius 14cm contains water. A metal solid cone of base radius 7cm and height 18cm is submerged into
the water. Find the change...(Solved)
A cylinder of radius 14cm contains water. A metal solid cone of base radius 7cm and height 18cm is submerged into
the water. Find the change in height of the water level in cylinder.
Date posted: April 24, 2019. Answers (1)
- A salesman is paid a salary of Sh. 10,000 per month. He is also paid a commission on sales above Sh. 100,000. In one
month he...(Solved)
A salesman is paid a salary of Sh. 10,000 per month. He is also paid a commission on sales above Sh. 100,000. In one
month he sold goods worth Sh. 500,000. If his total earning that month was Sh. 56,000. Calculate the rate of
commission.
Date posted: April 24, 2019. Answers (1)
- The interior angle of a regular polygon is 1080 larger than the exterior angle. How many sides has the polygon?(Solved)
The interior angle of a regular polygon is 1080 larger than the exterior angle. How many sides has the polygon?
Date posted: April 24, 2019. Answers (1)
- The figure below shows quadrilateral ABCD in which AB = 6cm. BC =1/2CD, CD = DA and angle ADC = angle BCD = 900.(Solved)
The figure below shows quadrilateral ABCD in which AB = 6cm. BC =1/2CD, CD = DA and angle ADC = angle BCD = 900.
Calculate the area of the quadrilateral ABCD.
Date posted: April 24, 2019. Answers (1)
- Three sirens wail at intervals of thirty minutes, fifty minutes and thirty-five minutes. If they wail together at 7.18 a.m. on
Monday, what time and day...(Solved)
Three sirens wail at intervals of thirty minutes, fifty minutes and thirty-five minutes. If they wail together at 7.18 a.m. on
Monday, what time and day will they wail together?
Date posted: April 24, 2019. Answers (1)
- Find the value of x if(Solved)
Find the value of x if
Date posted: April 24, 2019. Answers (1)
- Without using a calculator or mathematical tables simplify.(Solved)
Without using a calculator or mathematical tables simplify.
Date posted: April 24, 2019. Answers (1)
- Evaluate without using a calculator.(Solved)
Evaluate without using a calculator.
Date posted: April 24, 2019. Answers (1)
- A circular lawn is surrounded by a path of a uniform width of 7 meters. The area of the path is 21% that of the...(Solved)
A circular lawn is surrounded by a path of a uniform width of 7 meters. The area of the path is 21% that of the lawn. Calculate the radius of the lawn.
Date posted: April 23, 2019. Answers (1)
- A liquid spray of 384g is packed in a cylinder container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate...(Solved)
A liquid spray of 384g is packed in a cylinder container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate to 2 decimal places the height of the liquid in the container
Date posted: April 21, 2019. Answers (1)
- Mueni bought maize and beans at sh 20 per kg and sh 50 per kg respectively. She mixed them in a ratio such that after...(Solved)
Mueni bought maize and beans at sh 20 per kg and sh 50 per kg respectively. She mixed them in a ratio such that after selling the mixture at sh 39 per kg, she made a profit of 50%. Find the ratio in which she mixed them.
Date posted: April 6, 2019. Answers (1)
- Two towns P(60° N, 15° W) and Q(60°N, 30°E) are on the same parallel of latitude. An aircraft flying along the parallel of latitude takes...(Solved)
Two towns P(60° N, 15° W) and Q(60°N, 30°E) are on the same parallel of latitude. An aircraft flying along the parallel of latitude takes 4 hours 10 minutes to fly from P to Q. Taking the radius of the earth to be 6370 km, calculate to the nearest whole number,
i)the distance covered by the aircraft from P to Q
ii)the speed of the aircraft.
Date posted: April 6, 2019. Answers (1)
- The model of an aircraft is designed such that the volume of it interior airspace is 125 cm2. The volume of airspace of the actual...(Solved)
The model of an aircraft is designed such that the volume of it interior airspace is 125 cm2. The volume of airspace of the actual aircraft is 3.375 litres.
a) Given that the wing span of the aircraft is 7.44 m, find the wingspan of the model in centimetres.
b)If the total surface area of the model is 2420 cm2, find the total surface area of the actual aircraft in square metres.
c) Calculate the cost of the material used to build the actual aircraft if the material costs US $ 2.5 per square centimetre.
Date posted: April 6, 2019. Answers (1)
- A sales lady sold four plots at sh.180000@,she was paid a commission of sh.54000.What percentage commission that she...(Solved)
A sales lady sold four plots at sh.180000@,she was paid a commission of sh.54000. What percentage commission that she was paid?
Date posted: April 6, 2019. Answers (1)
- A cold water tap can fill a bath in 6 minutes while a hot water tap can fill it in 12 minutes. The drainage pipe...(Solved)
A cold water tap can fill a bath in 6 minutes while a hot water tap can fill it in 12 minutes. The drainage pipe can empty the bath in 8 minutes. All the three are opened fully for 3 minutes and then hot water tap is closed. How many more minutes will it take to fill the bath?
Date posted: April 3, 2019. Answers (1)
- An estate is drawn to scale on a grid of 1 cm squares with a total area of 35 cm2 .If the actual area of...(Solved)
An estate is drawn to scale on a grid of 1 cm squares with a total area of 35 cm2 .If the actual area of the estate is 560 hectares, calculate the linear scale of the map.
Date posted: April 3, 2019. Answers (1)
- Use the method of completing the square to solve the quadratic equation
2x2 - 13x + 15 = 0
(Solved)
Use the method of completing the square to solve the quadratic equation
2x2 - 13x + 15 = 0
Date posted: April 3, 2019. Answers (1)
- The sum of the first 8 terms of an AP is 236 and the sum of the first 6 terms of the same series is...(Solved)
The sum of the first 8 terms of an AP is 236 and the sum of the first 6 terms of the same series is 147. Find the sum of the first 12 terms of the series.
Date posted: April 3, 2019. Answers (1)
- A mixed day and boarding secondary school has a student depositions population of 630. The ratio of girls to boys is 3:4. The school has...(Solved)
A mixed day and boarding secondary school has a student depositions population of 630. The ratio of girls to boys is 3:4. The school has 350 boarders some of whom are boys and others are girls. A student is picked at random from the school. Find the probability that the student is
a) a boarder
b) a girl and not a boarder.
Date posted: April 3, 2019. Answers (1)