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- A sector of a circle of radius 40cm subtends an angle of 26º at the centre of the circle.(Take pi =22/7).(Solved)
A sector of a circle of radius 40cm subtends an angle of 26º at the centre of the circle.(Take pi =22/7).
(a) Calculate
(i) the area of the sector.
(ii) the length of the arc.
(b) The sector is folded to form an inverted right cone. Calculate
(i) the base radius of the cone.
(ii) To one decimal place, the vertical height of the cone.
(c) Calculate the capacity of the cone in litres.
Date posted: April 29, 2019. Answers (1)
- a) Complete the table given below for the equation y = -2X² + 3X + 3 for the range of X from -2 to 3.5...(Solved)
a) Complete the table given below for the equation y = -2X² + 3X + 3 for the range of X from -2 to 3.5 by filling in the blank spaces.
b) Use the values from the table above to draw the graph of y = -2x² + 3x + 3.
(c) Use your graph to:
(i) Determine the integral values of x in the graphs range which satisfy the inequality 2x² - 3x - 3 ≥3.
(ii) Solve -2x² + 2x + 5 = 0.
Date posted: April 29, 2019. Answers (1)
- From town P, a town Q is 60km away on a bearing South 80º East. A third town R is 100km from P on the...(Solved)
From town P, a town Q is 60km away on a bearing South 80º East. A third town R is 100km from P on the bearing South 40º West.
A cyclist travelling at 20km/h leaves P for Q. He stays at Q for one hour and then continues to R. He stays at R for 1½ hrs and thenreturns directly to P.
(a) Calculate the distance of Q from R.
(b) Calculate the bearing of R from Q.
(c) What is the time taken for the whole round trip?
Date posted: April 29, 2019. Answers (1)
- In the figure below OQ = q and OR = r. Point X divides OQ in the ratio 1:2 and Y divides OR in the...(Solved)
In the figure below OQ = q and OR = r. Point X divides OQ in the ratio 1:2 and Y divides OR in the ratio 3:4. Lines XR and YQ
intersect at E.
(c) Using the results in (b) above, find the values of m and n.
Date posted: April 29, 2019. Answers (1)
- A salesman is paid a commission of 2% on goods worth over Ksh.100000. He is also paid a monthly salary of Ksh.12000. In a
certain month,...(Solved)
A salesman is paid a commission of 2% on goods worth over Ksh.100000. He is also paid a monthly salary of Ksh.12000. In a
certain month, he sold 360 pairs of shoes at Ksh.500 each pair.
(a) Calculate the salesman’s earning that month.
(b) The following month, his monthly salary was increased by 10%. His total earnings that month were Ksh.17600. Calculate
(i) The total amount of money received from the sales of the shoes that month.
(ii) The number of pairs of shoes sold that month.
Date posted: April 29, 2019. Answers (1)
- Find the inequalities that define the region R shown in the figure below.(Solved)
Find the inequalities that define the region R shown in the figure below.
Date posted: April 26, 2019. Answers (1)
- Two similar cylinders have diameter of 7cm and 21cm. If the larger cylinder has a volume of 6237cm³. Find the heights of the two
cylinders.(Solved)
Two similar cylinders have diameter of 7cm and 21cm. If the larger cylinder has a volume of 6237cm³. Find the heights of the two
cylinders.
Date posted: April 26, 2019. Answers (1)
- Ruto is 2.5 times as old as his son. Five years ago, the ratio of their ages was 8:3. What will be their ages 6...(Solved)
Ruto is 2.5 times as old as his son. Five years ago, the ratio of their ages was 8:3. What will be their ages 6 years from now?
Date posted: April 26, 2019. Answers (1)
- Thirty two men working at the rate of 9hrs a day can complete a piece of work in 7 days. How many more men working...(Solved)
Thirty two men working at the rate of 9hrs a day can complete a piece of work in 7 days. How many more men working at the rate
of 8hrs a day would complete the same work in 6 days?
Date posted: April 26, 2019. Answers (1)
- A solid metal cuboid 1.5m long, 0.4m wide and 0.25m high is made of material of density 7.5g/cm³. Calculate its mass in kg.(Solved)
A solid metal cuboid 1.5m long, 0.4m wide and 0.25m high is made of material of density 7.5g/cm³. Calculate its mass in kg.
Date posted: April 26, 2019. Answers (1)
- Simplify the expression given below(Solved)
Simplify the expression given below
Date posted: April 26, 2019. Answers (1)
- The interior angle of a regular polygon is 6.5 times the exterior angle. How many sides has the polygon.(Solved)
The interior angle of a regular polygon is 6.5 times the exterior angle. How many sides has the polygon.
Date posted: April 26, 2019. Answers (1)
- Find the perimeter of the figure below. Give your answer correct to 4s.f.(Solved)
Find the perimeter of the figure below. Give your answer correct to 4s.f.
Date posted: April 26, 2019. Answers (1)
- Convert into a fraction.(Solved)
Date posted: April 26, 2019. Answers (1)
- Use the tables of reciprocals and square roots to evaluate.(Solved)
Use the tables of reciprocals and square roots to evaluate.
Date posted: April 26, 2019. Answers (1)
- Find the equation of a line passing through (2, 1) and perpendicular to the line which makes an angle of 45º with the X-axis.(Solved)
Find the equation of a line passing through (2, 1) and perpendicular to the line which makes an angle of 45º with the X-axis.
Date posted: April 26, 2019. Answers (1)
- A Kenyan Bank buys and sells foreign currencies as shown below.(Solved)
A Kenyan Bank buys and sells foreign currencies as shown below.
A Japanese travelling from France arrives in Kenya with 5000 Euros. He converts all the 5000 Euros to Kenya Shillings at the bank.
While in Kenya he spends a total of Ksh.289,850 and then converts the remaining Ksh. to Japanese Yen at the bank. Calculate the
amount in Japanese Yen that he receives.
Date posted: April 26, 2019. Answers (1)
- Evaluate the following:(Solved)
Evaluate the following.
Date posted: April 26, 2019. Answers (1)
- Use logarithm to evaluate:(Solved)
Use logarithm to evaluate:
Date posted: April 26, 2019. Answers (1)
- Solve for m in the equation given below:(Solved)
Solve for m in the equation:
Date posted: April 26, 2019. Answers (1)