ONE reason why South Africans need to take part in projects against the violation of human rights. (1x1) (1)​

Prove that, for angles A and B,(sin A / sin B) - (cos A / cos B) = 2 sin (A-B) / (sin 2B)Hence, or otherwise, without using a calculator, show that. a. (sin 5B / sin B) - (cos 5B / cos B) = 4 cos 2Bb. 1 / (sin 18) = 4 cos 36 c. sin 18 is a solution of the cubic equation 8x - 4x+1=0 Find the surface area of the cylinder. Use 3:14 for pi. Found answers to the nearest whole number Let U be the subspace of R5 defined by U = {(x1, x2, x3, x4, x5) R5 : 2x1 = x and x3 = x5}. (a) Find a basis of U. (b) Find a subspace W of R5 such that R5 = UW. [10 marks] p13.2 a real op amp has five terminals name the probably function for each of the terminals Receiving how many emails per day is said to precipitate email stress?a) 50b) 200c) 150d) 100 what is the analogy example of little question 20 cassie became ill several hours after eating a meal consisting of plain mashed potatoes and spicy hot wings. she is more likely to develop a taste aversion to . a. both choices are correct. b. neither choice is correct. c. spicy hot wings d. mashed potatoes Determining what variables to include in a multiple logistic regression model can be very challenging. Consider a model with two nonsignificant variables and several significant variables. Removing either of the nonsignificant variables and rerunning the model causes the other nonsignificant variable to become significant. Why might this be happening? What factors would you consider when choosing what variable(s) to include in the final model? typed please consider the following differential equation. x2y'' 12y = 0 find all the roots of the auxiliary equation. (enter your answers as a comma-separated list.) solve the given differential equation. 4. Why is planning in an audit important? Under which standard in VSA that auditors are required to conduct careful planning of an audit? What else regarding planning in that VSA standard that auditors have to pay attention to? Post Corporation purchases from suppliers on net 30 day terms, has an Accounts Receivable Turnover of 8 times, and an Inventory Turnover of 12 times. Cash inflows and outflows areMultiple Choicea. positively mismatched by 30 days.b. negatively mismatched by 60 days.c. evenly matched.d. negatively mismatched by 45 days. A heavy disc 4 of mass my and radius R is on a horizontal surface, on which it always rolls without slipping. A block B of mass ma is on a surface inclined at an angle relative to horizontal, and is connected to the dise A by means of the pulley arrangement shown in Figure 1. The pulleys are all massless and frictionless, and the strings are all massless and inextensible. Both the dise A and the block B are made from the same material, and the coefficient of kinetic friction between that material and the surface is me. The acceleration due to gravity is g and acts downward in the figure. Note that the moment of inertial of the dise about its centre of mass is given by the expression Izzje = a) Show that, if the disc rolls on the plate without slipping Determine the phasor counterparts of the following sinusoidal functions:(a) vi(t) = 4 cos(3771 -30)V(b) b v2(t) = 2 sin(8 x 1041 + 18) V(c) v3 (t) = 3 sin(1000+ 53) - 4 cos(1000r - 17) V Sa 4 Cho Bubmit to come to me Question 3 It is assumed that the average Triglycerides level in a healthy person is 130 unit, in a sample of 20 patients, the sample mean of Tricondes level is 125 and the sample standard deviation is 20 Calculate the test statistic value DA 112 OB 0.45 OCE 134 SD 1.79 No corretan G O 4 arch War represents an organized process by which two or more groups of people systematically kill each others members for access to resources. This behavior creates an opportunity for group selection.a. Explain the difference between group selection and the natural selection of organisms. Start by describing each process and then note the key difference(s). You may consult references outside of class, but your explanation must be in your own words.b. Give a historical example of a group whose reproductive success was amplified by war. one result of wave refraction is that wave energy is concentrated . on headlands projecting into the water on tombolos in bays, coves, and other recessed areas between headlands on spits A student takes a multiple choice exam, where each question has five possible answers. At the end of the exam, she answered all questions except three questions, for which she picks the answers randomly. a. What distribution do you need to solve this problem? b. What is the probability that she got only one question correct? find the slope of the tangent line at t = -1. b) find the points where the tangent is vertical or horizontal. TRUE OR FALSE. sometimes a greedy approach might look correct at the higher level, but at the end, it could give you incorrect answer. b. Thomas is planning to buy a motorbike at a price of 4,999 (assume that this amount does not change in the following 12 months). Thomas has two different choices for raising the money needed to make this purchase: i. Thomas could save 500 at the end of every month to his savings account, which pays a nominal interest rate of 6% payable monthly. Calculate how many months it will take until Thomas has saved enough money to buy the motorbike. [20% of marks for this question]