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If an egg carton has 12 eggs and I fill 3 5/12 of the cartons with eggs how many eggs do I have altogether


  1. Sketch the 3 trigonometric functions of sin θ, cos θ and tan θ over one complete cycle, where 00 ≤ θ ≤ 360 

 

Complete the sketches on separate graphs for the three trigonometric functions. 


A force of 60kN is applied at an angle of 50° to a horizontal datum. Calculate the vertical and horizontal components of the force, Fx and Fy.  


  1. A technician carried out a test on a piece of rotating equipment and established that it turned through 550 rotations per minute. What is the angular velocity of the rotating part in radians per second? 

 

 

      b) Calculate the area and arc length of the major sector of the circle shown below 


This triangle and square have the same perimeter.

Show that the square has an area 50% greater than the triangle.


Show all your working out.


The production rate for each of five machines is the same. Using these five machines, 600 parts are produced in 2.3 hours. How many hours will it take two of these machines to produce 600 parts?


In a survey , 72 people were asked what type of heating they had in their homes the results were given oil-30 , gas-24, electricity-12 and solid fuel 6 . Draw a pie chart to illustrate this


If three sides of a triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent by what supporting postulate?


A. ASA congruence postulate


B. AAA congruence postulate


C. SAS congruence postulate


D. SSS congruence postulate


Which triangle congruence postulate is referred to by the statement “If two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.”?


A. ASA congruence postulate

B. AAA congruence postulate

C. SAS congruence postulate

D. SSS congruence postulate


amanda can read her book at a rate of 7/8 of a chapter per 2/5 of an hour ? how many chapters can she read in one hour