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- In the figure below AB and Bc are chords of a circle centre O. AB=6cm, BC=16cm and OC=10cm(Solved)
In the figure below AB and Bc are chords of a circle centre O. AB=6cm, BC=16cm and OC=10cm
Calculate angle ABC correct to three significant figures.
Date posted: May 7, 2019. Answers (1)
- A shopkeeper bought x kg of locally made sugar at Kshs 85 per kilogram and 120kg of imported sugar at ksh 102 per
kilogram. He mixed...(Solved)
A shopkeeper bought x kg of locally made sugar at Kshs 85 per kilogram and 120kg of imported sugar at ksh 102 per
kilogram. He mixed the two types of sugar and sold the mixture at Ksh 119 per kilogram making a profit of 25%. Find
the number of kilograms (x) of locally made sugar.
Date posted: May 7, 2019. Answers (1)
- Make n the subject of the formula given that(Solved)
Make n the subject of the formula given that
Date posted: May 7, 2019. Answers (1)
- Two variable V and R are such that V partly varies as R and partly varies as the square root of R. When R=9, V=144
and...(Solved)
Two variable V and R are such that V partly varies as R and partly varies as the square root of R. When R=9, V=144
and when R=16, V=272
a) Find the law connecting V and R
b) Hence find the value of V when R=56.25.
Date posted: May 7, 2019. Answers (1)
- Without using mathematical tables or a calculator, evaluate.(Solved)
Without using mathematical tables or a calculator, evaluate.
Date posted: May 7, 2019. Answers (1)
- a) Determine the x-intercept of the curve y = x3 - 9x(Solved)
a) Determine the x-intercept of the curve y = x3 - 9x
b) Use the trapezium rule with 6 strips to find areas bounded by the curve and the x-axis.
c) By using integration, find the exact area bounded by the curve and the x- axis.
d) Calculate the percentage error in using trapezium rule to obtain the area.
Date posted: May 7, 2019. Answers (1)
- A ship leaves port P and sails to port Q to Ron a bearing of 1600 and is 150km from Q. From R, the ship
returns...(Solved)
A ship leaves port P and sails to port Q to Ron a bearing of 1600 and is 150km from Q. From R, the ship
returns directly to P at a speed of 25km/hr.
a) Using a suitable scale, show the relative positions of P,Q and R.
b) i) Find the bearing of R from P
ii) Find the distance travelled from R and the time taken to arrive at the destination.
c) As island S is equidistant from P,Q and R. Show its relative position.
Date posted: May 7, 2019. Answers (1)
- a) Give the inequalities that define the unshaded region.(Solved)
a) Give the inequalities that define the unshaded region.
b) Find the exact area of the region.
Date posted: May 7, 2019. Answers (1)
- Two countries X and Y are 600km apart. A bus left country Y at 9.00am and an everage speed of 100km/hr. A
matatu started from country...(Solved)
Two countries X and Y are 600km apart. A bus left country Y at 9.00am and an everage speed of 100km/hr. A
matatu started from country X at 10.30am for country Y and travelled at an everage speed of 150km/hr. Find
a) How far country Y the Bus and the matatu met.
b) The time the bus and the matatu met.
c) The time at which the matatu arrived at Y
d) If the matatu started from Y at 10.30am, how far from X would be their overtaking point.
Date posted: May 7, 2019. Answers (1)
- The figure below is a triangle OAB, where (Solved)
The figure below is a triangle OAB, where ⃗𝑂⃗⃗⃗𝐴⃗ =a and ⃗𝑂⃗⃗⃗𝐵⃗ =b. A point R divides AB in the ratio 1:3 ⃗𝑂⃗⃗⃗𝑅⃗ and ⃗𝐴⃗⃗⃗𝑇⃗
intersect at D.
a) Find in terms of a and b
i) BT
ii) OR
iii) AT
b) If OD=hOR and AD=kAT, express OD in two ways hence determine the values of h and k.
Date posted: May 7, 2019. Answers (1)
- The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.(Solved)
The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.
a) Calculate
i) Angle ASB
ii) Angle ARB
b) Calculate the area of the shaded region.
Date posted: May 7, 2019. Answers (1)
- Christians who attended a church service on Sunday were grouped by age as shown in the table below.(Solved)
Christians who attended a church service on Sunday were grouped by age as shown in the table below.
Estimate the mean age
Date posted: May 7, 2019. Answers (1)
- Use logarithms tables to evaluate(Solved)
Use logarithms tables to evaluate
Date posted: May 7, 2019. Answers (1)
- Solve for x; if 9x x 27x - 1 = 1(Solved)
Solve for x; if 9x x 27x - 1 = 1
Date posted: May 7, 2019. Answers (1)
- Simplify the following expression completely.(Solved)
Simplify the following expression completely.
Date posted: May 7, 2019. Answers (1)
- Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?(Solved)
Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
Date posted: May 7, 2019. Answers (1)
- Construct the image ??1??1??1 of the object PQR below though a rotation of -60 using centre C.(Solved)
Construct the image 𝑃1𝑄1𝑅1 of the object PQR below though a rotation of -60 using centre C.
Date posted: May 7, 2019. Answers (1)
- The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as...(Solved)
The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as the base line, 200m long.
Date posted: May 7, 2019. Answers (1)
- The marks scored by 10 students were follows 35, 34,32,33,28, 36,31,32,32 and 37. Calculate the standard
deviation of the marks.(Solved)
The marks scored by 10 students were follows 35, 34,32,33,28, 36,31,32,32 and 37. Calculate the standard
deviation of the marks.
Date posted: May 7, 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 tourist arrived in Kenya from Britain with 126,000 UK sterling pounds. He converted the pounds into Kenyan
shillings. While in Kenya he spent 4/5of the money. He changed the balance to US dollars. Calculate to the nearest Dollar,
the amount he received.
Date posted: May 7, 2019. Answers (1)