A straight line passing through the points P(4,5) also passes through the origin and makes an acute angle theta with the x – axis. Calculate...

A straight line passing through the points P(4,5) also passes through the origin and makes an acute angle theta with the x – axis. Calculate to 2 decimal places the sizes of angle theta.

---

---

sharon kalunda answered the question on August 9, 2019 at 14:15

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• The figure below shows a circle centre O and AOB is a sector of the circle and angle AOB = 72⁰ as shown. Given that the... (Solved)
  

  The figure below shows a circle centre O and AOB is a sector of the circle and angle AOB = 72⁰ as shown. Given that the area of a sector AOB is 5pi cm², find the radius of the circle and hence calculate the area of the shaded part.
  

  Date posted: August 9, 2019 .    Answers (1)

• Simplify the expression below (Solved)
  

  Simplify the expression below
  

  Date posted: August 9, 2019 .    Answers (1)

• Evaluate without using mathematical table or calculator. (Solved)
  

  Evaluate without using mathematical table or calculator.
  

  Date posted: August 9, 2019 .    Answers (1)

• Given the coordinates of P, Q and R as (2, -1), (3, 4) and (6, 2) respectively, (Solved)
  

  Given the coordinates of P, Q and R as (2, -1), (3, 4) and (6, 2) respectively, find the coordinates
  of P¹, Q¹ and R¹ the images of P, Q and R under a transformation represented by the matrix
  

  Date posted: August 9, 2019 .    Answers (1)

• Point T is the midpoint of a straight line AB. Given that the position vectors of A and T are (Solved)
  

  Point T is the midpoint of a straight line AB. Given that the position vectors of A and T are
  

  Date posted: August 9, 2019 .    Answers (1)

• In the diagram below find the length of EC if BC = 12 cm. (Solved)
  

  a) In the diagram below find the length of EC if BC = 12 cm.
  
  
  (b) Given that the area of triangle DCE is 27 cm², find the area of ABECD.
  

  Date posted: August 9, 2019 .    Answers (1)

• If each interior angle of a regular polygon is 150⁰, how many sides does the polygon have? (Solved)
  

  If each interior angle of a regular polygon is 150⁰, how many sides does the polygon have?

  Date posted: August 9, 2019 .    Answers (1)

• In 2007 parliamentary election, only 55% of the voters in a constituency of 85,000 cast their votes. (Solved)
  

  In 2007 parliamentary election, only 55% of the voters in a constituency of 85,000 cast their votes. Of the votes cast, A received 48%, B received 32% and C received the remainder. How many votes did C receive?

  Date posted: August 9, 2019 .    Answers (1)

• A swimming pool is 20m by 12m and it slopes gently from a depth of 1m at the shallow end to a depth of 3m... (Solved)
  

  A swimming pool is 20m by 12m and it slopes gently from a depth of 1m at the shallow end to a depth of 3m at the deep end.
  (a) Calculate the volume of water in the swimming pool (in m³) when it is full.
  (b) If the swimming pool is to be drained by a pump which removes water at the rate of 2.5m³ per minute, how long will it take this pump to drain the swimming pool if it was full?
  (c) If the sides of the swimming pool and its floor are to be covered with square tiles of side 20cm, find to the nearest 100 the number of tiles required.

  Date posted: August 9, 2019 .    Answers (1)

• Solve the simultaneous equations (Solved)
  

  Solve the simultaneous equations
  

  Date posted: August 9, 2019 .    Answers (1)

• Solve for n in (Solved)
  

  Solve for n in
  
  

  Date posted: August 9, 2019 .    Answers (1)

• Two vertical columns A and B of height h and 2h respectively stand on level ground and are 100m apart. Two points P and Q... (Solved)
  

  Two vertical columns A and B of height h and 2h respectively stand on level ground and are 100m apart. Two points P and Q are d metres apart, the elevation of the top of A and B from point P are 35⁰ and 28⁰ respectively and the elevation of top of B from point Q is 75⁰
  Calculate
  (a) The vertical heights of the two columns in metres
  (b) The distance PQ in metres

  Date posted: August 9, 2019 .    Answers (1)

• Solve the following inequalities and represent the solutions on a single number line: (Solved)
  

  Solve the following inequalities and represent the solutions on a single number line:
  

  Date posted: August 9, 2019 .    Answers (1)

• The figure below shows a plan of a roof with a rectangular base ABCD. AB = 20cm and BC = 12cm. the ridge PQ =... (Solved)
  

  The figure below shows a plan of a roof with a rectangular base ABCD. AB = 20cm and BC = 12cm. the ridge PQ = 8cm and is centrally placed. The faces ADP and BCQ are equilateral triangles. N is the midpoint of AD
  
  Calculate:
  (a) The length of PN
  (b) The altitude of P above the base.
  (c) The angle between the planes ABQP and ABCD.
  (d) The obtuse angle between the lines PQ and DB

  Date posted: August 9, 2019 .    Answers (1)

• Simplify the expression (Solved)
  

  Simplify the expression
  

  Date posted: August 9, 2019 .    Answers (1)

• A prism of length 20cm is represented by the diagram below whose cross section is an equilateral triangle of side 7cm. (Solved)
  

  A prism of length 20cm is represented by the diagram below whose cross section is an equilateral triangle of side 7cm.
  
  
  (a) Draw a sketch net of the prism and label it correctly.
  (b) Calculate
  (i) The area of the triangular end
  (ii) The total surface area of the prism
  (iii) The volume of the prism.

  Date posted: August 9, 2019 .    Answers (1)

• In the figure below, O₁ and O₁ are the centres of the circles whose radii are 4 cm and 7 cm respectively. The circles intersect... (Solved)
  

  In the figure below, O₁ and O₁ are the centres of the circles whose radii are 4 cm and 7 cm respectively. The circles intersect at A and B and angle AO₁O₂ = 60˚
  
  Find by calculation; take π = 3.142
  (a) The angle AO₂O₁
  (b) The area of the quadrilateral AO₁BO₂
  (c) The shaded area

  Date posted: August 9, 2019 .    Answers (1)

• O is the centre of the circle below and AB is parallel to DC. Angle ACD = 70⁰ and angle ACB = 10⁰. (Solved)
  

  O is the centre of the circle below and AB is parallel to DC. Angle ACD = 70⁰ and angle ACB = 10⁰.
  
  
  Calculate angles
  (i) ABC
  (ii) OAD

  Date posted: August 9, 2019 .    Answers (1)

• Three business partners, Bela, Joan and Trinity contributed Kshs. 112, 000, Kshs. 128, 000 and Kshs. 210, 000 respectively to start a business. They agreed... (Solved)
  

  Three business partners, Bela, Joan and Trinity contributed Kshs. 112, 000, Kshs. 128, 000 and Kshs. 210, 000 respectively to start a business. They agreed to share their profits as follows:
  30% to be shared equally
  30% to be shared in the ratio of their contributions
  40% to be retained for the running of the business.
  If at the end of the year, the business realized a profit of Kshs. 1. 35 million
  Calculate:
  (a) the amount of money retained for running the business at the end of the year.
  (b) the difference between the amounts received by Trinity and Bela.
  (c) Express Joan’s share as percentage of the total amount of money shared between the three partners.

  Date posted: August 9, 2019 .    Answers (1)

• Three bells P, Q and R are programmed to ring after an interval of 15 minutes, 25 minutes and 50 minutes respectively. If they all rang... (Solved)
  

  Three bells P, Q and R are programmed to ring after an interval of 15 minutes, 25 minutes and 50
  minutes respectively. If they all rang together at 8.45 a.m, when will they next ring together again.

  Date posted: August 9, 2019 .    Answers (1)