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A solid is made up of a hemisphere mounted on a cone. The radius of the cone and the radius of the hemisphere are each...

A solid is made up of a hemisphere mounted on a cone. The radius of the cone and the radius of the hemisphere are each 7cm and the vertical height of the cone is 13cm. Calculate the total surface area of the solid correct to two decimal places.

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Kavungya answered the question on November 13, 2019 at 06:11

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Find the value of x in the equation 36^x+1 + 6^2x = 222 (Solved)

Find the value of x in the equation
36^x+1 + 6^2x = 222

Date posted: November 13, 2019 . Answers (1)
The first three terms of a sequence are given a 10, 14 and 18. Find the sum of the first 18 terms of the sequence. (Solved)

The first three terms of a sequence are given a 10, 14 and 18. Find the sum of the first 18 terms of the sequence.

Date posted: November 13, 2019 . Answers (1)
Without using a calculator evaluate. (Solved)

Without using a calculator evaluate.

Date posted: November 13, 2019 . Answers (1)
The table below shows the income tax ratesJuma is a salaried employee who is given an automatic house allowance of sh. 8000 monthly. He also gets... (Solved)

The table below shows the income tax rates

Juma is a salaried employee who is given an automatic house allowance of sh. 8000 monthly. He also gets a single relief of Ksh1320. If his P.A.Y.E is Ksh 5420 a month,
(a) Find his total tax in shillings per annum
(b) How much does he earn per month?

Date posted: November 12, 2019 . Answers (1)
The table below gives the marks obtained in a mathematics test by 47 students. (a) State the modal class (b) Draw a cumulative frequency curve to... (Solved)

The table below gives the marks obtained in a mathematics test by 47 students.

(a) State the modal class
(b) Draw a cumulative frequency curve to represent the above data.
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Date posted: November 12, 2019 . Answers (1)
(a) Using trapezoidal rule estimate the area bounded by the curve y=3x² - 2 and the lines x=-4 ,x=4 and x-axis. (b) find the actual area... (Solved)

(a) Using trapezoidal rule estimate the area bounded by the curve y=3x² − 2 and the lines x=−4 ,x=4 and x−axis.
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Date posted: November 12, 2019 . Answers (1)
The probability that a boy goes to school by bus is 1/3 and by matatu is ½. If he uses a bus the probability that... (Solved)

The probability that a boy goes to school by bus is 1/3 and by matatu is ½. If he uses a bus the probability that he is late to school is 1/5 and if he uses a matatu the probability of being late is 3/10. If he uses other means of transport, the probability of being late is 1/20. What is he probability that;
(a) He will be late to school
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Date posted: November 12, 2019 . Answers (1)
The first term of A.P is 3.5, the common difference is d if the difference of 20^th and 6^th terms is 40. (a) (i)find the common... (Solved)

The first term of A.P is 3.5, the common difference is d if the difference of 20^th and 6^th terms is 40.
(a) (i)find the common difference, d
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Date posted: November 12, 2019 . Answers (1)
An aeroplane that moves at a constant speed of 600 knots flies from town A (14⁰N, 30⁰W) southwards to town B (X⁰S, 30⁰W) taking 3... (Solved)

An aeroplane that moves at a constant speed of 600 knots flies from town A (14⁰N, 30⁰W) southwards to town B (X⁰S, 30⁰W) taking 3 1/2 hrs. It then changes direction and flies along latitude to town C (X⁰S, 60⁰E). Given π = 3.142 and radius of the earth R= 6370 km
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(b) D is an airport situated at (5⁰N, 120⁰W), calculate
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Date posted: November 12, 2019 . Answers (1)
The figure below shows a frustum of a square based pyramid (not drawn to scale). The base ABCD is a square of sides 10cm. The... (Solved)

The figure below shows a frustum of a square based pyramid (not drawn to scale). The base ABCD is a square of sides 10cm. The top A’B’C’D’ is a square of side 4 cm and each slant edges of the frustum is 5cm long. Calculate the angle between AC’ and the line AC.

Date posted: November 12, 2019 . Answers (1)
Draw a line DF = 4.6cm.Construct the locus of point K above DF such that angle DKF = 70⁰. (Solved)

Draw a line DF = 4.6cm.Construct the locus of point K above DF such that angle DKF = 70⁰.

Date posted: November 12, 2019 . Answers (1)
Triangle ABC has vertices A(1,0), B(4,0) and C(1,4) is mapped onto A’B’C’ under a shear matrix, x axis invariant and C(1,4) is mapped onto C’(7,4).... (Solved)

Triangle ABC has vertices A(1,0), B(4,0) and C(1,4) is mapped onto A’B’C’ under a shear matrix, x axis invariant and C(1,4) is mapped onto C’(7,4). Find the shear matrix hence find the coordinates of the image of P(2,-3) and Q(-2,-3).

Date posted: November 12, 2019 . Answers (1)
Calculate all the values of x between -180° and +180° which satisfy the equation 6 cos (x - 30)° = -3. (Solved)

Calculate all the values of x between -180° and +180° which satisfy the equation 6 cos (x − 30)° = −3.

Date posted: November 12, 2019 . Answers (1)
The cost of a matatu was sh. 950 000.It depreciated in value by 5% per year for the first 2 years and 15% per for... (Solved)

The cost of a matatu was sh. 950 000.It depreciated in value by 5% per year for the first 2 years and 15% per for the subsequent years. Calculate the value of the matatu after 5 years.

Date posted: November 12, 2019 . Answers (1)
Given that P varies directly as V and inversely as the cube root of R and that P = 12 when V = 3 and... (Solved)

Given that P varies directly as V and inversely as the cube root of R and that P = 12 when V = 3 and R = 2,
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Date posted: November 12, 2019 . Answers (1)
The radius and height of a cylindrical Kentank rounded to 1 cm are 105 cm and 300 cm respectively. Calculate the percentage error in its volume. (Solved)

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Date posted: November 12, 2019 . Answers (1)
Given that and that a and b are rational numbers, find the values of a and b. (Solved)

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Date posted: November 12, 2019 . Answers (1)
Use the method of completing the square to solve 4 - 9x - 3x² = 0 (Solved)

Use the method of completing the square to solve
4 − 9x − 3x² = 0

Date posted: November 12, 2019 . Answers (1)
Solve for x in log³ = log⁵ 0.5. (Solved)

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Date posted: November 12, 2019 . Answers (1)
(a) Expand and simplify (x - 1/2x)⁶ up to the term in x³ and state the constant term. (b) Use this expansion to calculate to... (Solved)

(a) Expand and simplify (x − 1/2x)⁶ up to the term in x³ and state the constant term.
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Date posted: November 12, 2019 . Answers (1)