$\frac{sin 3x}{cos 3x} = tan \ 3x = 1$
3x = 45o, 225o, 405o, 585o, 765o, 945o
x = 15o, 75o, 135o, 195o, 255o, 315o
raphael answered the question on January 16, 2017 at 07:24
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List the integers that satisfy the two inequalities below
(Solved)
$\frac{x}{2} - 1 \lt \frac{x}{5}, \frac{3}{8} + \frac{x}{3} \ge \frac{x}{4}$
Date posted:
January 16, 2017
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Answers (1)
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Given that sin(2x - 30)o = cos(3x - 50o), find the value of x
(Solved)
Find the value of x from the following:
sin(2x - 30)o = cos(3x - 50o)
Date posted:
January 16, 2017
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Answers (1)
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A vector A passes through the points A(7,9) and B(3,5)
(Solved)
A vector A passes through the points A(7,9) and B(3,5). Vector b passes through the points C(x, -2) and D(-5,0). If a is parallel to b, determine the value of x.
Date posted:
January 16, 2017
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Answers (1)
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Use mathematical tables to evaluate the following
(Solved)
$\frac{2}{(3.432)^{1/3}} + \frac{4}{\sqrt {0.0684}}$
Date posted:
January 16, 2017
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Answers (1)
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The coordinates of the points A and B are (2, 5, 4) and (2, 1, 8) respectively.
(Solved)
The coordinates of the points A and B are (2, 5, 4) and (2, 1, 8) respectively. In what ratio does the point C(2, 4, 5) divide AB?
Date posted:
January 14, 2017
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Answers (1)
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Find to 4 significant figures the percentage error in the area of the rectangle.
(Solved)
The length and width of a rectangle measured to the nearest millimeter are 7.8 cm and 4.7 cm respectively.
Find to 4 significant figures the percentage error in the area of the rectangle.
Date posted:
January 14, 2017
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Answers (1)
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Mutuku and Kamau live 40 km apart. Mutuku starts from his home and cycles towards Kamau's house at 16 km/h.
(Solved)
Mutuku and Kamau live 40 km apart. Mutuku starts from his home and cycles towards Kamau's house at 16 km/h. Kamau starts from his home at 8:00 am and cycles towards Mutuku. At what time do they meet?
Date posted:
January 9, 2017
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Answers (1)
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A water tank 5 m long has a cross-section area of 135 m2
(Solved)
a) Find the capacity of the water tank in litres
b) Water was allowed into the empty tank at 10.00 pm at a constant rate of 25 litres per second. What time will the tank be completely full? Give your answer in 24 hours system.
Date posted:
January 9, 2017
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Answers (1)
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Calculate the angle the line 2x - 4y = 1 makes with the x-axis.
(Solved)
Calculate the angle the line 2x - 4y = 1 makes with the x-axis.
Date posted:
January 9, 2017
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Answers (1)
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Find the value of x when y = 6
(Solved)
A quantity x varies partly as the cube of y and partly varies inversely as the square of y. When y = 2, x = 108 and when y = 3, x = 259. Find the value of x when y = 6.
Date posted:
January 6, 2017
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Answers (1)
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How long would five men working 4 hours a day take to dig a trench 45 m long?
(Solved)
Three men working for 8 hours a day take 6 days to dig a trench 9 m long. How long would five men working 4 hours a day take to dig a trench 45 m long?
Date posted:
January 6, 2017
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Answers (1)
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Expand the expression $(2 - \frac{1}{5}x)^4 $ upto the term x3
(Solved)
Expand the expression $(2 - \frac{1}{5}x)^4 $ upto the term x3 and use the expansion to find the value of 1.964
Date posted:
January 6, 2017
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Answers (1)
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Find the value of x in;
(Solved)
Log (x - 2) + Log (x + 1) = 1 + Log 4
Date posted:
December 24, 2016
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Answers (1)
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Evaluate the following leaving your answer in surd form
(Solved)
$\frac{3}{2\sqrt 5 - \sqrt 7} - \frac {2}{2\sqrt 5 + \sqrt 7}$
Date posted:
December 24, 2016
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Answers (1)
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Solve the equation below
(Solved)
$4 sin^2x + 4cos x = 5\ for\ 0^\circ \le x \le 360^\circ$
Give your answer in degrees.
Date posted:
December 24, 2016
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Answers (1)
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Find all the integral values of x
(Solved)
Find all the integral values of x which satisfy Find all the integral values of x which satisfy $7\ge 4 - 3x \gt -2 $
Date posted:
December 24, 2016
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Answers (1)
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Find the values of a and b
(Solved)
The gradient of the curve y=x2 + ax + b at point (2, 6) is 7. Find a and b.
Date posted:
December 17, 2016
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Answers (1)
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For how long did Moses stay with the car?
(Solved)
Mr. Moses bought a new car for Ksh. 900,000 which depreciated at a constant rate of 8.5% per annum. After sometime, he sold it to a second hand car dealer at Ksh. 600,000. How long did he stay with the car?
Date posted:
December 17, 2016
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Answers (1)
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Make y the subject of the formula.
(Solved)
$T=2\pi\sqrt\frac{x^2\ +\ y^2}{gx}$
Date posted:
December 17, 2016
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Answers (1)
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How much did Mutua get from the sale of a car?
(Solved)
Mutua bought a used car at Ksh. 500,000. He spent further Ksh. 75,000 on it for repairs and modification. He then sold it at 20% profit. How much did he get from the sale?
Date posted:
December 16, 2016
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Answers (1)