Which of the circled hydrogen atoms is the most acidic?

How can food service managers obtain information for training staff on nutritional issues?

Which type of foodservice operation is required to meet nutrient guidelines for government-funded programs?

Which of the following refers to something essential to the body because it helps maintain, generate, and repair tissues?

TRIGONOMETRY Question 5    Ray OP forms an angle of α to the positive x axis, 5 tan α = 12 and α  ∈  [90°; 270°]. 5.1 Draw a sketch showing ray OP in the Cartesian plane. (2) 5.2   Determine the value of each of the following trigonometric ratios without the use of a calculator.   Show each step in your calculations. 5.2.1 cos α (3) 5.2.2 tan (180° – α) (2) 5.2.3 sin (30° – α) (3)   TOTAL [10]  

TRIGONOMETRY Question 7 7.1   Sketch the following graphs for x ∈ [–180°; 180°]:

ANALYTICAL GEOMETRY Question 1   The sketch shows triangle PQR in the Cartesian plane. The coordinates of point P are (5; 0). The angle of inclination of line PQ is 116,57°. S is the midpoint of line PQ. The length ratio OR : OP is 3 : 2.      Right click to open diagram in a new “tab”.   1.1 Determine: 1.1.1 the gradient of PQ, to the nearest integer value. (2) 1.1.2 the equation of PQ in the form . (2) 1.1.3 the distance PS in surd form. (3) 1.1.4 the coordinates of Q. (2) 1.2 Determine the coordinates of R. (2) 1.3 Calculate the area of ΔPQR. (4)   TOTAL [15]

ANALYTICAL GEOMETRY Question 2  Rectangle ABCD has vertices A(4 ; 0), B(–4 ; a), C(–6 ; 0) and D.B lies in the second quadrant. Right click to open diagram in a new “tab”.   2.1 Show that a = 4. (4) 2.2 Determine the equation of the straight line CD in the form . (4) 2.3 Calculate the coordinates of D. (4) 2.4 Calculate the length of AC. (2)   TOTAL [14]

 TRIGONOMETRY Question 6  6.1 Prove the identity: 

ANALYTICAL GEOMETRY Question 3 A trapezium with vertices P (1; 2), Q (2; –3), R (0; –5) and S (–4; p) is shown in the sketch below.  In addition, QR // PS. Right click to open diagram in a new “tab”.   3.1 Show that p = –3. (4) 3.2 Calculate PS : QR in the simplest form.  (5) 3.3 T (x; y) on PS is such that PTRQ is a parallelogram. Determine the co-ordinates of T.  (5)   TOTAL [14]