7 In the diagram below of circle O, chords AB and CD intersect at E. C...
7. State and prove the Law of Sines for triangles in Euclidean geometry. 8. Assume Euclidean geometry. Fix a circle and let AB and CD be two chords of the circle that intersect at point P. Prove that AP × PB = CP × PD (one both sides of the equation you are multiplying the lengths) 7. State and prove the Law of Sines for triangles in Euclidean geometry. 8. Assume Euclidean geometry. Fix a circle and let AB and...
Assume that equal chords AB and CD intersect at point E as shown. Prove that BE=CE and AE=DE.
In the circle indicated below, AB = 24 cm; CD = 8 cm and O is the centre. Find: (calculate to 4 decimal places) a) The radius of the circle; b) The size of the angle AOB in degrees and radians; c) The arc length ACB; and d) The area of sector AOBC. (5) (7) (4) (4) 0. el C
Let R(A, B, C, D, E) be a relation wit FDs F = {AB->C, CD->E, E->B, CE->A}.... Question 4 Not yet answered Marked out of 2.00 P Flag question Let R(A,B,C,D,E) be a relation with FDs F = {AB-C, CD-E, E-B, CE-A} Consider an instance of this relation that only contains the tuple (1, 1, 2, 2, 3). Which of the following tuples can be inserted into this relation without violating the FD's? (2 points) Select one: 0 (0, 1,...
4. On the segment CD we draw the semicircle (A, a) which is tangent to the semicircle (B, b). We also draw the semicircle (0, OC), and the perpendicular EF to CD. The segments FC,FD intersect the semicircles at points H, J. The circles (M.). (L. 2) are tangent to the semicircle (O), the segment FE, and the semicircles (A). (B), respectively. a) Show that OC = a + b. b) Show that FE is a common tangent to the...
Let R(A,B,C,D,E) be a relation with FDs F = {AB-C, CD-E, E-B, CE-A} Consider an instance of this relation that only contains the tuple (1, 1, 2, 2, 3). Which of the following tuples can be inserted into this relation without violating the FD's? (2 points) Select one: O (0, 1, 2, 4,3) (1,1,2,2,4) (1.2.2, 2, 3) o (1,1,3,2,3) All of the above can be inserted. None of the above can be inserted.
The diagram goes with the questions below (for Problem 7-9) On the phase diagram shown above, segment corresponds to the conditions of temperature and pressure under which the solid and the gas of the substance are in equilibrium. 1) AB 2) AC 3) AD 4) CD 5) BC On the phase diagram shown above, the coordinates of point B corresponds to the 1) critical temperature and pressure 2) critical pressure 3) critical temperature 4) boiling point 5) triple point correspond...
Given that Eºred = -0.40 V for Cd2+ + 2e- --> Cd at 25°C, find E for the concentration cell expressed using shorthand notation below. Express your answer using 2 significant figures. Cd(s)| Cd2+(1.0 x 10-5 M) || Cd2+(1.0 M) | Cd(s) Question 34 5 pts What is the average binding energy (in MeV) per nucleon for O-16? Express your answer using two significant figures. The mass of 0-16 is 15.994915 amu. Use 1.00727647 amu for the mass of a...
Section II: Information from a diagram (20 marks) The four strokes AB, BC, CD and DA in a diesel engine are shown in the diagram below. AB is an adiabatic contraction, CD is an adiabatic expansion, and BC is a heat input process. 1. Identify the power strokes. (5 marks) On в с Adiabatic processes 2. Explain in one sentence what happens during the power strokes regarding V and P. (5 marks) - - - - 3. Compare the temperature...
The rods AB and CD are made of steel having a failure tensile stress of O fail = 510 MPa. Using a factor of safety of F.S. = 1.75 for tension, determine their smallest diameter so that they can support the load shown. The beam is assumed to be pin connected at A and C. В. D 6 kN 5 kN 4 kN A C 4 2 m ----2m- -3 m -3 m Figure: 07_PROB_076