-
Find the maximum value and correct to three decimal places of:
(Solved)
Given that 10.5 <_ x <_ 20 and 1.5 <_ y <_ 3, find the maximum value and correct to three decimal places of:
Date posted:
May 7, 2019
.
Answers (1)
-
a) Expand (a + b)5
(Solved)
a) Expand (a + b)5
b) Use the first three terms of the expansion in (a) to find the value of (1.97)5 to two decimal places.
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)
-
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)
-
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)
-
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) 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)
-
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)
-
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)
-
Mashillingi has 21 coins whose total value is Kshs 72. There are twice as many five shillings coins as there are ten
shillings coins. The rest...
(Solved)
Mashillingi has 21 coins whose total value is Kshs 72. There are twice as many five shillings coins as there are ten
shillings coins. The rest are one shilling coins. Find the number of ten shilling coins that mashillingi has.
Date posted:
May 7, 2019
.
Answers (1)
-
Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has an area of 810 cm2. What is the area of...
(Solved)
Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has
an area of 810 cm2. What is the area of the corresponding surface of the large container.
Date posted:
May 7, 2019
.
Answers (1)