Two circles of radii 3cm and 8cm have their centres 13cm apart. Calculate the length ofthe direct common tangent.

      

Two circles of radii 3cm and 8cm have their centres 13cm apart. Calculate the length of the direct common tangent.

  

Answers

---

L2 = 132 – 52
= 169 – 25
L = 144
= 12

---

Kavungya answered the question on September 18, 2019 at 13:58

Next: What is meant by tail power ?
Previous: During a Practical study students made measurements on a fish and found out that its body lengthfrom the tip of the mouth to the tail...

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• Calculate the shortest distance in nautical miles between M(45°N, 38°E) andN(45°N, I 42°W) (Solved)
  

  Calculate the shortest distance in nautical miles between M(45°N, 38°E) and N(45°N,42°W)

  Date posted: September 18, 2019.  Answers (1)

• Make x the subject in the formula:(Solved)
  

  Make x the subject in the formula:
  

  Date posted: September 18, 2019.  Answers (1)

• A man deposits his money in a savings bank on a monthly basis. Each deposits exceeds the previous one by Shs 500. If he started...(Solved)
  

  A man deposits his money in a savings bank on a monthly basis. Each deposits exceeds the previous one by Shs 500. If he started by depositing Shs 1500, how much will he have deposited in 12 months?

  Date posted: September 18, 2019.  Answers (1)

• The velocity of a particle moving in a straight line is given by the equation ds/dt = -4t + 2 where s is adisplacement from...(Solved)
  

  The velocity of a particle moving in a straight line is given by the equation ds/dt = -4t + 2 where s is a displacement from the origin in meters and t is time of motion.
  a) Find when the particle is instantaneously at rest.
  b) Given that S = 2 when t = o find a in terms of t
  c) Find acceleration of the particle
  d) At what instant shall displacement of the particle be O?

  Date posted: September 18, 2019.  Answers (1)

• Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S divided...(Solved)
  

  Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S
  divided PQ in the ratio 5:2 OS and RQ meet at T.
  a) Express OS and QR in term of p an q.
  b) Given that OT = KOS. Express OT in terms of K, p and q
  c) (i) Given also that RT = h RQ, express OT interms of h , p and q
  (ii) find the value of h and k
  d) State the ratio in which Q divided RT.

  Date posted: September 18, 2019.  Answers (1)

• The figure below shows a right pyramid on a square base ABCD of sides 4cm VA =VB = VC=VD = 8cm a) Find the height VO...(Solved)
  

  The figure below shows a right pyramid on a square base ABCD of sides 4cm VA =VB = VC=VD = 8cm
  
  a) Find the height VO of the pyramid.
  b) The angle between slant edge and the base ABCD
  c) The angle between the planes VBC and ABCD
  d) Find volume of the pyramid in litres.

  Date posted: September 18, 2019.  Answers (1)

• A curve passes through the origin and its gradient function is 3x² + 6x – 2 Find its equation (Solved)
  

  A curve passes through the origin and its gradient function is 3x² + 6x – 2
  Find its equation

  Date posted: September 18, 2019.  Answers (1)

• The nth term of an AP is given by 2n+ 3. Find the first three terms hence show that the sum of the...(Solved)
  

  The nth term of an AP is given by 2n+ 3. Find the first three terms hence show that the sum of the first n terms is given by Sn = n² + 4n

  Date posted: September 18, 2019.  Answers (1)

• Wafula was asked to round off to 2/3 decimal places but he truncated it to 3 decimal places.Determine the percentage error as a result...(Solved)
  

  Wafula was asked to round off 2/3 to 2 decimal places but he truncated it to 3 decimal places.
  Determine the percentage error as a result of misunderstanding of the question
  

  Date posted: September 18, 2019.  Answers (1)

• ABCD is a trapezium in which angle B = angle C=90^oCalculate the length DC hence the area of the trapezium. (Solved)
  

  ABCD is a trapezium in which angle B = angle C=90^o
  
  
  Calculate the length DC hence the area of the trapezium.

  Date posted: September 18, 2019.  Answers (1)

• In the circle below chords PQ and RS intersect internally at X. Given that RX = 8cm,XS = 3cm and PQ=10cm. Calculate PX (Solved)
  

  In the circle below chords PQ and RS intersect internally at X. Given that RX = 8cm,XS = 3cm
  and PQ=10cm. Calculate PX
  

  Date posted: September 18, 2019.  Answers (1)

• An investor deposited 40,000 in a bank compounded at the rate of R p.a semi-annually for 2 years and realized Ksh. 50,499. Find the rate...(Solved)
  

  An investor deposited 40,000 in a bank compounded at the rate of R p.a semi-annually for 2 years
  and realized Ksh. 50,499. Find the rate of compound interest. Give your answer correctly to 4
  significant figures
  

  Date posted: September 18, 2019.  Answers (1)

• Find the radius and centre of a circle whose equation is: 4x² + 4y² + 56x – 104y – 152 = 0 (Solved)
  

  Find the radius and centre of a circle whose equation is:
  4x² + 4y² + 56x – 104y – 152 = 0

  Date posted: September 18, 2019.  Answers (1)

• a) Construct a parallelogram PQRS such that PQ = 8cm PS = 4.5cm and angle QPS = 60^o b) Locate locus of a point...(Solved)
  

  a) Construct a parallelogram PQRS such that PQ = 8cm PS = 4.5cm and angle QPS = 60^o
  b) Locate locus of a point x such that x is equidistant from P and R.

  Date posted: September 18, 2019.  Answers (1)

• Given that matrix A = find matrix B such that A² = A + B (Solved)
  

  Given that matrix A = find matrix B such that A² = A + B

  Date posted: September 18, 2019.  Answers (1)

• Expand (2+ x)⁶ upto the fourth term Using the expansion solve ( 1.98)⁶ correct to 4 d.p(Solved)
  

  Expand (2+ x)⁶ upto the fourth term
  Using the expansion solve ( 1.98)⁶ correct to 4 d.p

  Date posted: September 18, 2019.  Answers (1)

• Find without using mathematical tables or calculator, the value of x which satisfy the equation. Log₂ (x² – 9) = 3 log₂ 2 +1 (Solved)
  

  Find without using mathematical tables or calculator, the value of x which satisfy the equation.
  Log₂ (x² – 9) = 3 log₂ 2 +1
  

  Date posted: September 18, 2019.  Answers (1)

• Make A the subject of the formula (Solved)
  

  Make A the subject of the formula
  

  Date posted: September 18, 2019.  Answers (1)

• Evaluate the following leaving your answer in surd form.(Solved)
  

  Evaluate the following leaving your answer in surd form.
  

  Date posted: September 18, 2019.  Answers (1)

• Use logarithms table to evaluate(Solved)
  

  Use logarithms table to evaluate
  

  Date posted: September 18, 2019.  Answers (1)