The above diagram represents a wooden prism. ABCD is a rectangle. Points E and F are directly below C and B respectively. M is the...

      

The above diagram represents a wooden prism. ABCD is a rectangle. Points E and F are directly below C and B respectively. M is the midpoint of CD. AB = 8cm, BC = 10cm and CE = 4.5cm.
a)The size of angle CDE.
b) Calculate:
i) Length of AC.
ii) The angle CAE makes with the plane ADEF.
c) Find the:
i) Length of MB.
ii) Angle CBM.

  

Answers

---

---

Kavungya answered the question on October 9, 2019 at 12:11

Next: Make P the subject of the formula XY^P = Q^PX
Previous: Two fair dice one a regular tetrahedron (4 faces) and the other a cube are thrown. The scores are added together. show all possible outcomes. a)Find...

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• Make P the subject of the formula XY^P = Q^PX(Solved)
  

  Make P the subject of the formula XY^P = Q^PX

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

• The table below shows the taxation rates for income earned in a certain month. Income (Kshs per month) Tax rate (%) 1...(Solved)
  

  The table below shows the taxation rates for income earned in a certain month.
  Income (Kshs per month) Tax rate (%)
  1 – 9680 10
  9681 – 19360 15
  19361 – 29040 20
  29041 – 38720 25
  38720 and above 30
  Kiratu earned a basic salary of Ksh 21,000 that month. In addition he got a house allowance of Ksh. 12,000 and medical allowance of Ksh. 3600. He had a life insurance policy for which he paid Ksh. 1800 p.m. He was entitled to an insurance relief 15% of the premium paid. He claimed a personal relief of Ksh. 1162 p.m.
  
  a)Calculate the net tax Kiratu paid in that month.
  b)Together with the tax deductions were also made from his pay i.e. NHIF sh. 320 and co-op loan
  of ksh. 4750. Calculate Kiratu’s Net pay for that month.

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

• A straight line passes through points (8, -2) and (4, -4) a)Write its equation in the form ax + by + c = 0 where a,...(Solved)
  

  A straight line passes through points (8, -2) and (4, -4)
  a)Write its equation in the form ax + by + c = 0 where a, b and c are integers.
  b)If the line in (a) above cuts the x axis at point P, determine the coordinates of P.
  c)Another line which is perpendicular to the line in (a) above passes through point P and cuts the
  Y axis at the point Q. Determine the co-ordinates of point Q.
  d)Find the length of QP.

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

• A passenger noticed that he had forgotten his bag in a bus 12 minutes after the bus had left. To catch up with the bus,...(Solved)
  

  A passenger noticed that he had forgotten his bag in a bus 12 minutes after the bus had left. To catch up with the bus, he immediately took a taxi which travelled 95km/h. The bus maintained an average speed of 75km/h.
  Determine:
  a)The distance covered by the bus in 12 minutes.
  b)The distance covered by the taxi to catch up with the bus.

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

• Use reciprocal, cosine and square tables only to evaluate to 4s.f the expression. 1/15.79 - (cos 73.61)²(Solved)
  

  Use reciprocal, cosine and square tables only to evaluate to 4s.f the expression.
  1/15.79 - (cos 73.61)²

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

• A seven sided figure has three of its angles equal to x and the other angles are (2x - 30), (x + 28), 3(x -...(Solved)
  

  A seven sided figure has three of its angles equal to x and the other angles are (2x - 30), (x + 28), 3(x - 4) and (126 -x). Find the value of x.

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

• Given that Cos A = 5/13 and Angle A is acute, find the value of 2tan A + 3 Sin A.(Solved)
  

  Given that Cos A = 5/13 and Angle A is acute, find the value of 2tan A + 3 Sin A.

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

• Solve for x 5^(x+1) + 6(5^x) – 70 = 205(Solved)
  

  Solve for x
  5^(x+1) + 6(5^x) – 70 = 205

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

• A point (-3, 2) is the image of a point (7,4) after a reflection. Find the mirror line.(Solved)
  

  A point (-3, 2) is the image of a point (7,4) after a reflection. Find the mirror line.

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

• The proceeds of a certain harambee were distributed among three primary schools A, B and C. A received 1/3 of total amount realized, B received...(Solved)
  

  The proceeds of a certain harambee were distributed among three primary schools A, B and C. A received 1/3 of total amount realized, B received 1/3 of the remainder while C received 4/5 of what B received. If the difference of what remained and what B received was shs. 25,000. Determine how much the harambee realized.

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

• In the figure below AB is parallel to DE. Find the value of x and y.(Solved)
  

  In the figure below AB is parallel to DE. Find the value of x and y.
  

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

• Solve for x 1 + log₅ x = log₅12 (Solved)
  

  Solve for x
  1 + log₅ x = log₅12
  

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

• Simplify (Solved)
  

  Simplify

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

• Evaluate without using mathematical tables or a calculator. Express your answer as a fraction to its simplest form. (Solved)
  

  Evaluate without using mathematical tables or a calculator.
  Express your answer as a fraction to its simplest form.
  

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

• Complete the table below, for the function y =2x² + 4x - 3.(Solved)
  

  a) Complete the table below, for the function y =2x² + 4x - 3.
  
  
  b) On the grid provided, draw the graph of y=2x² + 4x - 3 for -4<= x<= 2 and use the graph to estimate the roots of the equation to 1 decimal place.
  
  c) In order to solve graphically 2x² + x – 5 = 0, a straight line must be drawn to intersect the curve y = 2x² + 4x – 3. Determine the equation of the straight line and draw it, hence obtain the roots of the equation 2x² + x - 5 = 0 to 1 decimal place.

  Date posted: October 8, 2019.  Answers (1)

• The table below shows the masses of newly born babies at a maternity home. a) Complete the table and use it to answer the questions below....(Solved)
  

  The table below shows the masses of newly born babies at a maternity home.
  a) Complete the table and use it to answer the questions below. Take A = 3.7
  
  
  b) Use the method of assumed mean to calculate to two decimal places.
  i) The mean mass of the babies
  ii) The standard deviation of the distribution

  Date posted: October 8, 2019.  Answers (1)

• Use a ruler and compass only for all the constructions in this question. a) Construct a triangle XYZ in which XY= 6cm, YZ =5cm and angle...(Solved)
  

  Use a ruler and compass only for all the constructions in this question.
  
  a) Construct a triangle XYZ in which XY= 6cm, YZ =5cm and angle XYZ= 120⁰
  
  b) Measure XZ and angle YXZ
  
  c) Construct the perpendicular bisector of XZ and let it meet XZ at N
  
  d) Locate a point W on the opposite of XZ as Y and that XW = ZW and YW =9cm and hence complete triangle XZW.
  
  e) Measure WM and hence calculate the area of triangle XZW.

  Date posted: October 8, 2019.  Answers (1)

• Given that A(-7, 2), B(-3, 3), C(-3, 6), D(-7, 8) are the vertices of a trapezium. (Solved)
  

  Given that A(-7, 2), B(-3, 3), C(-3, 6), D(-7, 8) are the vertices of a trapezium.
  a) Draw the trapezium on the grid provided
  
  b) Rotate ABCD through -90⁰ about the origin to be mapped onto A¹B¹C¹D¹
  
  c) Reflect A¹B¹C¹D¹ along y = -x to be mapped onto A¹¹B¹¹C¹¹D¹¹
  
  d) A certain transformation maps A¹¹B¹¹C¹¹D¹¹
  to A¹¹¹ (-7, -9) B¹¹¹ (-3, -6) C¹¹¹ (-3, -9) D¹¹¹ (-7, -15).
  i) Plot A¹¹¹B¹¹¹C¹¹¹D¹¹¹ on the same axis.
  ii) Find the matrix and describe fully the transformation that maps A¹¹B¹¹C¹¹D¹¹ onto A¹¹¹B¹¹¹C¹¹¹D¹¹¹
  iii) Find the area of A¹¹¹B¹¹¹C¹¹¹D¹¹¹

  Date posted: October 8, 2019.  Answers (1)

• In the figure below O is the centre of the circle ABCD and AOD is a straight line.(Solved)
  

  In the figure below O is the centre of the circle ABCD and AOD is a straight line. If AB =BC and the
  angle DAC = 40⁰, Calculate angle BAC
  

  Date posted: October 8, 2019.  Answers (1)

• Find the equation of a circle whose centre lies on the line 3y = 6x + 18(Solved)
  

  Find the equation of a circle whose centre lies on the line 3y = 6x + 18 and which also touches the x and y axes in the third quadrant.

  Date posted: October 8, 2019.  Answers (1)