Absolute error in the
measurements
8.4 = $\frac{0.1}{2}$ = 0.05
10.5 = $\frac{0.1}{2}$ = 0.05
15.3 = $\frac{0.1}{2}$ = 0.05
Actual perimeter
= 8.4 + 10.5 + 15.3
= 34.2 cm
Maximum perimeter
= 8.4 + 10.55 + 15.35
= 34.35 cm
minimum perimeter
= 8.35 + 10.45 + 15.25
= 34.05
Absolute error in perimeters
[Max Perimeter - Minimum Perimeter] +
$\frac{Actual\;Perimeter - Minimum\;Perimeter}{2}$
= $\frac{[34.35 \;- \;34.2][34.2 - 34.05]}{2}$
= $\frac{0.15\;+\;0.15}{2}$ = 0.15
% error in the perimeter
$\frac{0.15}{34.2}$ x 100 = 0.44%
johnmulu answered the question on March 7, 2017 at 13:57
-
The equation of a curve is
y = 3x2 -4x + 1, Find the gradient function of the curve and its value when x = 2
(Solved)
The equation of a curve is
y = 3x2 -4x + 1
a) Find the gradient function of the curve and its value when x = 2
b) Determine the equation of the tangent to the curve at(2,5)
Date posted:
March 7, 2017
.
Answers (1)
-
A man accumulates sh 71 105 after investing sh 50 000 at a rate of 18% p.a. compounded quarterly. Find the time in years taken to accumulate the amount
(Solved)
A man accumulates sh 71 105 after investing sh 50 000 at a rate of 18% p.a. compounded quarterly. Find the time in years taken to accumulate the amount
Date posted:
March 7, 2017
.
Answers (1)
-
A bus left Nairobi at 8. 00 a.m and travelled towards Kisumu at an average speed of 80 km/hr.
(Solved)
A bus left Nairobi at 8. 00 a.m and travelled towards Kisumu at an average speed of 80 km/hr. At 8.30 a.m a car left Kisumu towards Nairobi at an average speed of 120 km/hr. Given that the distance between Nairobi and Kisumu is 400 km, calculate.
a) The time the car arrived in Nairobi
b) The time the two vehicles met
c) The distance from Nairobi to the meeting point
Date posted:
March 7, 2017
.
Answers (1)
-
A man deposits his money in a saving bank on monthly basis. Each deposit exceeds the previous by sh 750. If he deposited sh 1500 initially,
(Solved)
A man deposits his money in a saving bank on monthly basis. Each deposit exceeds the previous by sh 750. If he deposited sh 1500 initially, how much money will he have deposited in 12 months
Date posted:
March 7, 2017
.
Answers (1)
-
A farmer has 1 200 m wire to fence three sides of a rectangular paddock. The fourth side is a wall. Find the dimensions that will give the maximum possible area.
(Solved)
A farmer has 1 200 m wire to fence three sides of a rectangular paddock. The fourth side is a wall. Find the dimensions that will give the maximum possible area.
Date posted:
March 7, 2017
.
Answers (1)
-
Solve for x in
log(x + 5) = log 4 - log(x + 2)
(Solved)
Solve for x in
log(x + 5) = log 4 - log(x + 2)
Date posted:
March 6, 2017
.
Answers (1)
-
Three years ago a father was three times as old as his son. In three years time, the sum of their ages will be 76 years.
(Solved)
Three years ago a father was three times as old as his son. In three years time, the sum of their ages will be 76 years. Determine their present ages.
Date posted:
March 6, 2017
.
Answers (1)
-
A plan of a house is drawn on a scale 1:500, What is the length of a room on the plan for which the actual length is 8 meters
(Solved)
A plan of a house is drawn on a scale 1:500
a) What is the length of a room on the plan for which the actual length is 8 meters
b) The area of the room on the plan is 1.28 cm2. What is the actual area of the room in m2
Date posted:
March 6, 2017
.
Answers (1)
-
A map is drawn to a scale of 1: 50 000 on the map, the area of a town is 4 cm2. Calculate the actual area of the town in hectares.
(Solved)
A map is drawn to a scale of 1: 50 000 on the map, the area of a town is 4 cm2. Calculate the actual area of the town in hectares.
Date posted:
March 6, 2017
.
Answers (1)
-
Simplify $\frac{2x^2 – 3xy – 2y^2}{4x^2 – y^2}$
(Solved)
Simplify $\frac{2x^2 – 3xy – 2y^2}{4x^2 – y^2}$
Date posted:
March 6, 2017
.
Answers (1)
-
The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction
(Solved)
The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction
Date posted:
March 6, 2017
.
Answers (1)
-
A number between 200 and 300 has its tens digit four more than the units digit. If the number is written in the reverse order the number increases by 99. Find the number.
(Solved)
A number between 200 and 300 has its tens digit four more than the units digit. If the number is written in the reverse order the number increases by 99. Find the number.
Date posted:
March 6, 2017
.
Answers (1)
-
If log2 = 0.3010, log3 = 0.4771 and log 5 = 0.6990, Find the logarithm of 3.3
(Solved)
If log2 = 0.3010, log3 = 0.4771 and log 5 = 0.6990, Find the logarithm of 3.3
Date posted:
March 2, 2017
.
Answers (1)
-
A woman went on a journey by walking,by bus and by matatu. She went by bus for $\frac{4}{5}$ of the distance, then by matatu $\frac{2}{3}$ of the rest of the distance, then walked the remaining distance
(Solved)
A woman went on a journey by walking,by bus and by matatu. She went by bus for $\frac{4}{5}$ of the distance, then by matatu $\frac{2}{3}$ of the rest of the distance, then walked the remaining distance. The distance travelled by the bus was 55 km more than the distance walked. Find the total distance
Date posted:
March 2, 2017
.
Answers (1)
-
Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:
(Solved)
Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:
a) At what time did they meet?
b) How far from town B was their meeting point?
c) How far apart were they at 10.30 a.m?
Date posted:
March 2, 2017
.
Answers (1)
-
Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.
(Solved)
Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.
a) What is the depth of the water in the tank at 8.30 a.m
b) If the tank is 1.2 m high, and a hole at the bottom through which water leaks at a rate of 11.6 cm 3 per second, determine the time at which the tank will be filled.
Date posted:
March 2, 2017
.
Answers (1)
-
Point A(4, 4) maps onto point A1 (8, 10) under enlargement with linear scale factor 3. Find the coordinates of the centre of enlargement.
(Solved)
Point A(4, 4) maps onto point A1 (8, 10) under enlargement with linear scale factor 3. Find the coordinates of the centre of enlargement.
Date posted:
March 2, 2017
.
Answers (1)
-
In order to complete a journey of 56 km, John walks for 1 hour at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate
(Solved)
In order to complete a journey of 56 km, John walks for 1 hour at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate:
a) V
b) The average speed in km/hr for the whole journey
Date posted:
March 2, 2017
.
Answers (1)
-
Write an expression in terms of x and y for the total value of a two digit number
(Solved)
(a) Write an expression in terms of x and y for the total value of a two digit number having x as the tens digit and y as the the units digit.
(b) The number in (a) above is such that three times the sum of its digits is less than the value of the number by 8. When the digits are reversed the value of the number increases by 9. Find the number.
Date posted:
January 24, 2017
.
Answers (1)
-
Three ladies Agnes, Betty and Cate contributed a total amount of sh 21,000 to start a saloon. The ratio of Agnes to Betty was 3:5 and that of Betty to Cate was 2:1.
(Solved)
Three ladies Agnes, Betty and Cate contributed a total amount of sh 21,000 to start a saloon. The ratio of Agnes to Betty was 3:5 and that of Betty to Cate was 2:1. How much did Betty contribute?
Date posted:
January 24, 2017
.
Answers (1)