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- 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)
- An object is placed on the principal axis of a concave mirror. The image formed is upright and magnified. If the object distance is 5cm...(Solved)
An object is placed on the principal axis of a concave mirror. The image formed is upright and magnified. If the object distance is 5cm and the image distance is 10 cm, determine the focal length of the mirror.
Date posted: September 10, 2019. Answers (1)
- Without using table or calculators, evaluate(Solved)
Without using table or calculators, evaluate
Date posted: September 10, 2019. Answers (1)
- A fruit juice dealer sell the juice in packet of 300ml, 500ml and 750ml.(Solved)
A fruit juice dealer sell the juice in packet of 300ml, 500ml and 750ml. find the size of the smallest
container that can fill each of the packets and leave a remainder of 200ml
Date posted: September 10, 2019. Answers (1)
- Evaluate the question below(Solved)
Evaluate
Date posted: September 10, 2019. Answers (1)
- The diagram below represents a community water tank made up of cylindrical and regular hexagonal parts.(Solved)
The diagram below represents a community water tank made up of cylindrical and regular hexagonal parts. The diameter and the height of the cylindrical part are 7m and 5m respectively. The side of the regular hexagonal face is 2m and the height of the hexagonal part is 10m. (Take pi= 22/7)
(a) Determine:-
(i) Cylindrical part.
(ii) Hexagonal part.
(iii) The whole tank.
(b) An identical structure is to be built with a hollow cross-sectional area of 1.5m2 and mass of 440kgs. Calculate the density of this structure.
Date posted: September 10, 2019. Answers (1)