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- In the figure below, AC is an arc of a circle centre D. Angle ADC = 600, AD = DC = 7cmand CB = 5cm.(Solved)
In the figure below, AC is an arc of a circle centre D. Angle ADC = 600, AD = DC = 7cm and
CB = 5cm.
Calculate:
a) The area of triangle ADB
b) The area of the shaded region.
Date posted: August 23, 2019. Answers (1)
- Solve the inequalities below and represent the solutions on a single number line.
1 – 2x < 5, 5 – 3x > - 10(Solved)
Solve the inequalities below and represent the solutions on a single number line.
1 – 2x < 5, 5 – 3x > - 10
Date posted: August 23, 2019. Answers (1)
- By striding 60cm or by striding 64cm, John takes an exact number of steps to crossa road. Find the least width of the road in...(Solved)
By striding 60cm or by striding 64cm, John takes an exact number of steps to cross a road. Find the least width of the road in metres.
Date posted: August 23, 2019. Answers (1)
- Solve the matrix below(Solved)
Given that matrix 
, find matrix B such that A2 = A – B.
Date posted: August 23, 2019. Answers (1)
- In the circle O is the centre, angle DAB = 870. Arc AB is twice arc AD. Calculate Angle AOB.(Solved)
In the circle O is the centre, angle DAB = 870. Arc AB is twice arc AD. Calculate Angle AOB.
Date posted: August 22, 2019. Answers (1)
- Town A is 240km from town B. A car travels at a speed of 60km/h from town A startingat 1000hrs. (Solved)
Town A is 240km from town B. A car travels at a speed of 60km/h from town A starting at 1000hrs. A cyclist leaves town B at 0900hrs and travels at a steady speed to town A. If they pass each other at 1300hrs, calculate the speed of the cyclist.
Date posted: August 22, 2019. Answers (1)
- Given that a = 1.2, b = 0.02 and c = 0.2, express ac + b(Solved)
Given that a = 1.2, b = 0.02 and c = 0.2, express ac + b in the form 
where m and n are integers.
Date posted: August 22, 2019. Answers (1)
- Onchwati deposited Ksh.50,000 in a financial institution in which interest is compounded Quarterly. (Solved)
Onchwati deposited Ksh.50,000 in a financial institution in which interest is compounded Quarterly. If at the end of the second year he received a total of Ksh.79,692.40. Calculate the rate of interest per annum.
Date posted: August 22, 2019. Answers (1)
- Solve the equation(Solved)
Solve the equation
Date posted: August 22, 2019. Answers (1)
- Use logarithms to evaluate the following correct to 4 decimal places.(Solved)
Use logarithms to evaluate the following correct to 4 decimal places.
Date posted: August 22, 2019. Answers (1)
- State two layers of atmosphere which experience Negative Lapse Rate.(Solved)
State two layers of atmosphere which experience Negative Lapse Rate.
Date posted: August 22, 2019. Answers (1)
- Two spherical balls of radii 14cm and 7cm are in contact resting on a horizontal floor.
A straight metal bar is placed on top of the...(Solved)
Two spherical balls of radii 14cm and 7cm are in contact resting on a horizontal floor.
A straight metal bar is placed on top of the balls such that it is in contact with them.
Calculate the angle of inclination of the bar to the horizontal.
Date posted: August 22, 2019. Answers (1)
- Evaluate the expression below.(Solved)
Evaluate the expression below.
Date posted: August 22, 2019. Answers (1)
- Solve for value of x if sin(3x+20) = cos 4x(Solved)
Solve for value of x if sin(3x+20) = cos 4x
Date posted: August 22, 2019. Answers (1)
- A test tube is made up of hemispherical bottom and a cylindrical stem. Both of internal radius 0.7cm. Calculate the capacity of the test tube...(Solved)
A test tube is made up of hemispherical bottom and a cylindrical stem. Both of internal radius 0.7cm. Calculate the capacity of the test tube given that its height is 12cm
Date posted: August 22, 2019. Answers (1)
- Given the points P(-6,-3) Q(-2,-1) and R(6,3) Express PQ and QR as column Vectors. Hence show that the points P,Q and R are collinear.(Solved)
Given the points P(−6,−3) Q(−2,−1) and R(6,3) Express PQ and QR as column Vectors. Hence show that the points P,Q and R are collinear.
Date posted: August 22, 2019. Answers (1)
- Simplify completely(Solved)
Simplify completely
Date posted: August 22, 2019. Answers (1)
- The ratio of the area of two similar spheres is 16:25. If the volume of the smaller one is 195cm3 (Solved)
The ratio of the area of two similar spheres is 16:25. If the volume of the smaller one is 195cm3 .Find the volume of the large one to 1d.p.
Date posted: August 22, 2019. Answers (1)
- Mutoa bought 4 mangoes and 2 Banana at sh. 39 while Mueni bought 2 mangoes less and 2 Banana more than Mutoa at Sh 69....(Solved)
Mutoa bought 4 mangoes and 2 Banana at sh. 39 while Mueni bought 2 mangoes less and 2 Banana more than Mutoa at Sh 69. Determine the cost of each fruit.
Date posted: August 22, 2019. Answers (1)
- The line passing through the point B(1,-2) is parallel to the line whose equation is -2x + 3y = 5. Find the equation of the...(Solved)
The line passing through the point B(1,-2) is parallel to the line whose equation is -2x + 3y = 5. Find the equation of the line and hence determine the coordinates of point P where this line cuts the equation y = 0
Date posted: August 22, 2019. Answers (1)