- A frustum with a regular pentagonal base is such that its top is of side 12cm and bottom is of side 24cm.(Solved)
A frustum with a regular pentagonal base is such that its top is of side 12cm and bottom is of side 24cm. If its perpendicular height is 20cm. Calculate:
(a) The length of the slant edge.
(b) The volume of the frustum
Date posted: August 19, 2019. Answers (1)
- Three business partners Kamau, Tatwa and Makau contributed Ksh. 100,000, Ksh.80,000 and ksh. 50,000 respectively to start a business. After one year the business realized...(Solved)
Three business partners Kamau, Tatwa and Makau contributed Ksh. 100,000, Ksh.80,000 and ksh. 50,000 respectively to start a business. After one year the business realized a profit which they shared in the ratio of their contributions.
(a) If Makauโs share of profit was Kshs.20, 000, how much was the total amount of profit?
(b) At the beginning of the second year, Makau boosted his shares by Ksh. 10,000. If the business
profit increased by 20% at the end of the second year. Calculate;
(i) Kamauโs share of the profit.
(ii) The difference between Kamauโs and Tatwaโs share of the profit.
Date posted: August 19, 2019. Answers (1)
- Without using mathematical tables or calculator, evaluate:(Solved)
Without using mathematical tables or calculator, evaluate:
Date posted: August 19, 2019. Answers (1)
- A pulley is made up of two wheels of radii 6 cm and 9 cm respectively and the distance between their centres is 18 cm.(Solved)
A pulley is made up of two wheels of radii 6 cm and 9 cm respectively and the distance between their centres is 18 cm.
If a belt passes round the two pulleys, find its length.
Date posted: August 19, 2019. Answers (1)
- A student expands (x - y)2 incorrectly as x2 + y2.(Solved)
A student expands (x - y)2 incorrectly as x2 + y2. Find his percentage error if he used this incorrect expansion for x = 4 and y = -5. Give your answer correct to 2 d.p.
Date posted: August 19, 2019. Answers (1)
- Three police posts are such that Q is on a bearing of 2100 and 12 km from P while R is on a bearing of...(Solved)
Three police posts are such that Q is on a bearing of 2100 and 12 km from P while R is on a bearing of 1500 and 8 km from P.
(a) Using a suitable scale, draw a diagram to represent the above situation.
(b) From the scale drawing determine:
(i) the bearing of Q from R
(ii) the distance of R from Q
Date posted: August 19, 2019. Answers (1)
- ABCD is a rhombus. The measure of angle ABC is 1500.(Solved)
ABCD is a rhombus. The measure of angle ABC is 1500. The diagonals of the rhombus intersect at E. The shorter diagonal measures 10cm. Calculate the length of the sides of the rhombus to the nearest integer hence calculate the area of the rhombus.
Date posted: August 19, 2019. Answers (1)
- Estimate the area bounded by the curve(Solved)
Estimate the area bounded by the curve 
๐ฅ=3 ๐๐๐ ๐กโ๐ ๐ฅโ๐๐ฅ๐๐ using the mid-ordinate rule. Use three strips.
Date posted: August 19, 2019. Answers (1)
- Evaluate the question below:(Solved)
Evaluate the question below:
Date posted: August 19, 2019. Answers (1)
- In the figure below, lines AB and XY are parallel.(Solved)
In the figure below, lines AB and XY are parallel.
If the area of the shaded region is 36 cm2, find the area of triangle CXY.
Date posted: August 19, 2019. Answers (1)
- List the integral values of x which satisfy the inequalities below.
2x+21>15-2x=x+6(Solved)
List the integral values of x which satisfy the inequalities below.
2x+21>15-2xโฅx+6
Date posted: August 19, 2019. Answers (1)
- Makau and Kilonzo live 20km apart. Makau leaves home at 10:00 am and walks to meet Kilonzo who started walking at 9:30 am to meet...(Solved)
Makau and Kilonzo live 20km apart. Makau leaves home at 10:00 am and walks to meet Kilonzo who started walking at 9:30 am to meet Makau. The speed of Makau and Kilonzo are in the ratio of 3:4. If they met at 11:30 am find their speeds.
Date posted: August 19, 2019. Answers (1)
- John bought two shirts and three pairs of trousers at Ksh. 1750. If had bought three shirts and two pairs of trousers, he would have...(Solved)
John bought two shirts and three pairs of trousers at Ksh. 1750. If had bought three shirts and two pairs of trousers, he would have saved Ksh.250. Find the cost of a shirt and a trouser.
Date posted: August 19, 2019. Answers (1)
- Simplify the expression below(Solved)
Simplify the expression below
Date posted: August 19, 2019. Answers (1)
- Find the sum of the smallest and the largest value of ??.(Solved)
Given that 
and that ๐ฅ is an integer, find the sum of the smallest and the largest value of ๐ฅ.
Date posted: August 19, 2019. Answers (1)
- Without using mathematical tables or calculator evaluate.(Solved)
Without using mathematical tables or calculator evaluate.
Date posted: August 19, 2019. Answers (1)
- A straight line passes through the point (-3,-4) and is perpendicular to the line whose equation is 3x + 2y = 11 and intersects the...(Solved)
A straight line passes through the point (-3,-4) and is perpendicular to the line whose equation is 3x + 2y = 11 and intersects the x=axis and y-axis at points A and B respectively. Find the length of AB.
Date posted: August 19, 2019. Answers (1)
- The gradient of the tangent to the curve y=ax3+bx at point (1,1) is -5. Calculate the value of a and b.(Solved)
The gradient of the tangent to the curve y=ax3+bx at point (1,1) is -5. Calculate the value of a and b.
Date posted: August 19, 2019. Answers (1)
- Without using mathematical tables or calculator evaluate.(Solved)
Without using mathematical tables or calculator evaluate.
Date posted: August 19, 2019. Answers (1)
- Simplify:(Solved)
Simplify:
Date posted: August 19, 2019. Answers (1)