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- The figure below drawn to scale represents a field in the shape of an equilateral triangle of sides 120m.(Solved)
The figure below drawn to scale represents a field in the shape of an equilateral triangle of sides 120m.
Mr. Mutai wants to plant some tea seedlings in the field. The seedling must be at most 90m from A and nearer to B than to C. If no seedling is to be more than 60m from BC, show by shading, the exact region where the seedling may be planted within the triangle.
Date posted: September 11, 2019. Answers (1)
- The equation of a curve is y = x³ - 3x² + Kx + 2 and a normal is 9y + x = 18.(Solved)
The equation of a curve is y = x³ - 3x² + Kx + 2 and a normal is 9y + x = 18. If they intersect at x = 0; Find the value of K.
Date posted: September 11, 2019. Answers (1)
- A commercial plot is valued at shs.500,000. The plot depreciates at a rate of 10% per six months for a period of 2 years.(Solved)
A commercial plot is valued at shs.500,000. The plot depreciates at a rate of 10% per six months for a period of 2 years. It then appreciates at a rate of 4% per quarter yearly for three years. Find the value of the plot after 5 years to nearest shillings.
Date posted: September 11, 2019. Answers (1)
- Hence use the expansion to evaluate (3.25)5 correct to 4 decimal places.(Solved)
Expand 
up to the 5th team. Hence use the expansion to evaluate (3.25)5 correct to 4 decimal places.
Date posted: September 11, 2019. Answers (1)
- Make P the subject of the formula:(Solved)
Make P the subject of the formula:
Date posted: September 11, 2019. Answers (1)
- In the figure shown below, angle PTS = 54° and PT and ST are tangents to the circle and that PR is parallel to TS.(Solved)
In the figure shown below, angle PTS = 54° and PT and ST are tangents to the circle and that PR is parallel to TS.
Giving reasons; find the values of angles:
(i) PRQ.
(ii) RQS.
Date posted: September 11, 2019. Answers (1)
- Solve for x in (log2x)2 + log28 = log2 x4(Solved)
Solve for x in (log2x)2 + log28 = log2 x4.
Date posted: September 11, 2019. Answers (1)
- A blend of juice is made from pineapple and passion. The cost of two limes of pineapple is 120/= and three limes of passion is...(Solved)
A blend of juice is made from pineapple and passion. The cost of two limes of pineapple is 120/= and three limes of passion is 270/=. In what ratio should the juice be mixed such that by selling the mixture at 84/= per lime a profit of 20% is realized?
Date posted: September 11, 2019. Answers (1)
- A pyramid block has a square base whose side is exactly 7.5cm.(Solved)
A pyramid block has a square base whose side is exactly 7.5cm. Its height measured to the nearest millimeter is 3.5cm. Find the percentage error in calculating its volume correct to 3 decimal places.
Date posted: September 11, 2019. Answers (1)
- Show by shading the unwanted region, the region which satisfies the following inequalities(Solved)
Show by shading the unwanted region, the region which satisfies the following inequalities
(b) calculate the area of this region in a square units
Date posted: September 10, 2019. Answers (1)
- Five towns V,W,X,UY and Z are situated such that W is 200km east of V.(Solved)
Five towns V,W,X,UY and Z are situated such that W is 200km east of V. X is 300km from W on a bearing of 150o. Y is 350km on a bearing of 240o from X. Z is 150o from V but 200o from X.
Draw the diagram representing the position of the towns. ( use a scale of 1cm to represent 50km) .
(b) From the diagram determine
(i) the distance in km of V from Z
(ii) The bearing of Y from W
(c) A plane heading to town X takes off from town y and flies upwards of a constant angle which
is less than 90o. After flying a distance of 350km in the air it sees town x at an angle of depression of 50o. Calculate the distance of the plane from x at this point to the nearest km.
Date posted: September 10, 2019. Answers (1)
- Find the scalars k and h(Solved)
Given that Km + hn = r and that 
.
Find the scalars k and h
Date posted: September 10, 2019. Answers (1)
- The two sides of a triangle are given 6 cm and 5 cm. The angle between them is 130o.(Solved)
The two sides of a triangle are given 6 cm and 5 cm. The angle between them is 130o. Calculate the are of the triangle ( giving your answer to 2 decimal places)
Date posted: September 10, 2019. Answers (1)
- Simplify the expression below leaving your answer in rationalized surd form of a + bv??(Solved)
Simplify the expression below leaving your answer in rationalized surd form of a + b√𝑐
Date posted: September 10, 2019. Answers (1)
- In the figure below, angle ABE is equal to angle ADC, AE = 6cm, Ed = 9cm and AB = 8cm. (Solved)
In the figure below, angle ABE is equal to angle ADC, AE = 6cm, Ed = 9cm and AB = 8cm.
Calculate the length of BC
Date posted: September 10, 2019. Answers (1)
- Use table of reciprocals only to work out:(Solved)
Use table of reciprocals only to work out:
Date posted: September 10, 2019. Answers (1)
- Using compass and ruler only construct a triangle Arc such that AB= 6cm ,BC = 5cm and angle ABC = 67.5o(Solved)
Using compass and ruler only construct a triangle Arc such that AB= 6cm ,BC = 5cm and angle ABC = 67.5o, measure the length of AC
Date posted: September 10, 2019. Answers (1)
- Jemima’s team entered a contest where teams of students compete by answering questions that earn
either 3 points of 5 points.(Solved)
Jemima’s team entered a contest where teams of students compete by answering questions that earn either 3 points of 5 points. Jemima’s team scored 44 points after answering 12 questions correctly. How many
five-points questions did the team answer correctly.
Date posted: September 10, 2019. Answers (1)
- The figure below shows a trough which is 40 cm wide at the top and 25 cm wide at the bottom.(Solved)
The figure below shows a trough which is 40 cm wide at the top and 25 cm wide at the bottom. The trough is 20cm deep and 4.5 m long. Calculate the capacity of the trough in litres.
Date posted: September 10, 2019. Answers (1)
- A student expanded ( x + y)2 incorrectly as x2+ y2(Solved)
A student expanded ( x + y)2 incorrectly as x2+ y2. Calculate the percentage error in the answer if x = 4 and y = 6
Date posted: September 10, 2019. Answers (1)