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Use the expansion of (x – 0.2)⁵ to find the exact value of 9.8⁵

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Kavungya answered the question on June 20, 2019 at 06:24

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Next: Solve for x in the equation; log (x + 24) = 2 log 3 + log (9 – 2x).

Previous: (a) Use binomial expansion to evaluate (2+3/x)⁵ up to the fifth term (b) By expressing 9.5 in the form (2 + 3/x), use the expansion in...

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Solve for x in the equation; log (x + 24) = 2 log 3 + log (9 – 2x). (Solved)

Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).

Date posted: June 20, 2019 . Answers (1)
Expand (1 + x/12) in ascending powers of x upto the fourth term. Use the four terms to evaluate (5/4)⁶ to 4 decimal places. (Solved)

Expand (1 + x/12) in ascending powers of x upto the fourth term.
Use the four terms to evaluate (5/4)⁶ to 4 decimal places.

Date posted: June 20, 2019 . Answers (1)
(a) Expand and simplify the binominal expression ( 1 + ½ x)⁸ (b) Use the expansion up to the fourth term to evaluate (1.05)⁸ to 2... (Solved)

(a) Expand and simplify the binominal expression ( 1 + ½ x)⁸
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Date posted: June 20, 2019 . Answers (1)
Expand (3 + x)⁴ in ascending powers of x. Use the first three terms of the expansion to evaluate (3.02)⁴, correct to 3 decimal places (Solved)

Expand (3 + x)⁴ in ascending powers of x. Use the first three terms of the expansion to
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Date posted: June 20, 2019 . Answers (1)
a) Using binomial expansion, determine the first five terms of the expansion: (2-1/x)⁸ b) Use the expansion above to evaluate (1.75)⁸ (Solved)

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Date posted: June 20, 2019 . Answers (1)
In the figure above K, M & P are points on a straight line. PN is a tangent of the circle centre O. Angle KOL =... (Solved)

In the figure above K, M & P are points on a straight line. PN is a tangent of the circle centre O.
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Date posted: June 20, 2019 . Answers (1)
The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD at B angle BCD is 42^o (a) Giving reasons for... (Solved)

The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD
at B angle BCD is 42^o

(a) Giving reasons for your answer, find:-
(i) CBD
(ii) DOB
(iii) DAB
(iv) CDA
b) Show that ADB is isosceles

Date posted: June 20, 2019 . Answers (1)
The figure below shows two intersecting circles radii 8 cm and 6 cm respectively. The common chord AB = 9cm ad P and Q are the... (Solved)

The figure below shows two intersecting circles radii 8 cm and 6 cm respectively.
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Date posted: June 19, 2019 . Answers (1)
In the figure below ABC is a tangent to the circle at B. given that (Solved)

In the figure below ABC is a tangent to the circle at B. given that
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Date posted: June 19, 2019 . Answers (1)

The chords AB and PQ intersects internally at O. Given that the length of OP=8cm, OA= 4.5cm and OQ=6cm. Calculate the length of OB (Solved)

The chords AB and PQ intersects internally at O. Given that the length of OP=8cm,
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Date posted: June 19, 2019 . Answers (1)
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The figure below shows a circle centre O. AB and PQ are chords intersecting externally
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Date posted: June 19, 2019 . Answers (1)
In the figure below, ABCD is a cyclic quadrilateral and BD is a diagonal. EADF is a straight line, CDF = 68^o, BDC = 45^o... (Solved)

In the figure below, ABCD is a cyclic quadrilateral and BD is a diagonal. EADF is a straight line,
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Calculate the size of:
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Date posted: June 19, 2019 . Answers (1)
Two pipes A and B can fill a tank in 3hrs and 4 hrs respectively. Pipe C can empty the full tank in 6 hrs. i) How... (Solved)

Two pipes A and B can fill a tank in 3hrs and 4 hrs respectively. Pipe C can empty the full tank
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Date posted: June 19, 2019 . Answers (1)
The figure below shows two pulleys of radii 6cm and 4cm with centres A and B respectively. AB = 8cm. The pulleys are connected by a... (Solved)

The figure below shows two pulleys of radii 6cm and 4cm with centres A and B respectively.
AB = 8cm. The pulleys are connected by a string PQXRSY

Calculate:
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(d) The total length of the string PQXRSY

Date posted: June 19, 2019 . Answers (1)
In the figure below AOD is a diameter of the circle cetre O. BC is a chord parallel to AD. FE is a tangent to the... (Solved)

In the figure below AOD is a diameter of the circle cetre O. BC is a chord parallel to AD. FE is a
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(c) angle CEF
(d) angle OXC
(e) angle OFE

Date posted: June 19, 2019 . Answers (1)
In the given figure, O is the centre of the circle and AOBP is a straight line. PT is a tangent to the circle. If PT... (Solved)

In the given figure, O is the centre of the circle and AOBP is a straight line. PT is a
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Date posted: June 19, 2019 . Answers (1)
In the figure below angle BAC =52^o, angle ACB = 40^o and AD = DC. The radius of the circle is 7cm. EF is a tangent... (Solved)

In the figure below angle BAC =52^o, angle ACB = 40^o and AD = DC. The radius of
the circle is 7cm. EF is a tangent to the circle

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(b) Calculate the area of the shaded segment AGB

Date posted: June 19, 2019 . Answers (1)
In the figure below, ATX is a tangent to the circle at point T, ABC is a straight line, angle ABT = 100^o, angle XTD =... (Solved)

In the figure below, ATX is a tangent to the circle at point T, ABC is a straight line, angle
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Find by giving reasons, the value of angle:
(a) TDC
(b) TCB
(c) TCD
(d) BTC
(e) DTC

Date posted: June 19, 2019 . Answers (1)
In the figure below, B, D, E, F and G are on the circumference of the circle centre O. A, B and C form a tangent... (Solved)

In the figure below, B, D, E, F and G are on the circumference of the circle centre O. A, B
and C form a tangent to the circle at point B. GD is the diameter of the circle. Given that
FG = DE, reflex angle GOB = 252°, angles DBC = 36° and FEG = 20°

Giving reasons in each case find the angles:
a) GEB
b) BED
c) OBE
d) BGE
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Date posted: June 19, 2019 . Answers (1)
XYZ is a triangle in which x = 13.4cm, Z= 5cm and XYZ =57.7^o . Find: (i) Length of XZ (ii) The circum radius of the triangle (Solved)

XYZ is a triangle in which x = 13.4cm, Z= 5cm and XYZ =57.7^o . Find:
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Date posted: June 19, 2019 . Answers (1)