The figure shows a cubical box of edge cm and a cuboid measuring cm by cm by

given in a local coordinate frame. Draw the result of applying each of the following transformations to the flag.
Label the new coordinates for the four vertices labelled above. Show values to 1 decimal place. R(-90°) S(-2,1) T(1,2) R(180°) R(90°) T(-1,0) S(1,2) R(-45°) R(-45°) S(1,2)

have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius. If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0. The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.

ouch. How did the temperature of the four books compare before they touched? How will temperatures of the two top books compare after the books have been touching for a while and why?Mari has four books and is going to place them in two stacks. Figure 6 shows the books before they touch. How did the temperature of the four books compare before they touched? How will temperatures of the two top books compare after the books have been touching for a while and why?

a) A scientific theory must be able to be proven. b) A scientific theory has been derived from known facts and always applies. c) A scientific method should give different results depending on who performs the method. d) Knowledge of our surroundings usually emerges through an interplay between theory and experiment. 2) The sides of a straight block are measured to 3,202 cm; 0.0012 cm and 11.2 cm, respectively. Calculate the volume of the straightening block and enter it with the correct number of value digits. (2/0/0) Number of words: 0 3) A 9.2 dm long and evenly thick rod rests on a support. 0.55 dm from one end, a dynamometer is hung so that the rod will hang horizontally. Then the dynamometer shows 4.4 N. How much does the bar weigh? (1/1/0) Number of words: 0 4) A bar AB that is homogeneous and evenly thick has a length of 2.70 m and is rotatable about an axis at A. The bar weighs 25 kg and is kept in equilibrium by a force F which has its point of attack in B. is 45 degrees. How big is the force F? (1/1/0) Saved! 25 * 9.82 = 245.5 N Number of words: 6 5) A trolley rolls at a constant speed to the right. On the cart is an upward cannon that suddenly shoots a bullet. The carriage continues to the right with the same speed as before. Where does the bullet end up when it falls? For a detailed reasoning. (1/1/1) Number of words: 0 6) A river is 200 m wide. The water in the river flows at a speed of 2.5 m / s. A motorboat steers across the river at its maximum speed, which in stagnant water is 5.0 m / s. The boat is constantly heading perpendicular to the banks of the river. Where does the motorboat land on the other shore? (2/0/0) Number of words: 0 7) A ball with a mass of 2.0 hg moves at a constant speed in a circular path. The radius of the track is 1.5 m and it takes the ball 3.0 seconds to move one turn. How big is the centripetal force? (1/1/0) Number of words: 0 8) A bullet moves at a constant speed. Can we then safely say that the resultant of the forces acting on the bullet is zero? Motivate and discuss your answer. (0/1/1) Number of words: 0 9) A conductor is located between the poles of a permanent magnet. The current in the conductor goes in the direction of the plane of the paper (away from the reader). How is the force acting on the leader directed? (1/0/0) a) To the right of the figure b) To the left in the figure c) Downwards in the figure d) Upwards in the figure 10) Protons enter horizontally from the left between two large metal plates at a speed v = 0.80 Mm / s. The plates are connected to a voltage source with the pole voltage U. Between the plates there is a homogeneous magnetic field with a flux density of 38 mT directed perpendicular to the plane of the paper. The distance between the plates is 1.5 cm. They want the protons to continue with unchanged direction and speed between the plates. Which of the plates should be connected to the positive pole of the voltage source and how large should the voltage U be? (0/2/0) Number of words: 0 11) The magnetic flux Φ through a 700-speed coil decreases linearly with time according to the diagram below. Calculate the voltage across the coil at time t = 1.0 ms. 12) The current in a coil with an inductance of 35 mH has a growth rate of 6.2 A / s at a given moment. What is the instantaneous value of the ems induced in the coil?