Show that three internal angle bisectors of a triangle are concurrent.
Show that three internal angle bisectors of a triangle are concurrent. Suppose we bisect the internal...
Please write your answer clearly on this paper in the spaces provided; identify each statement as true( T) or false( F): Making a conjecture from your observations is called inductive reasoning. The 25th term in the -2, 4, -6, 8, -10,...) sequence is-42 1.( 2.) 3.() A polygon with 7 sides is called a septagon 4.( Ifa polygon is equiangular, then it is equilateral. 5. The complement of an acute angle is an obtuse angle. 6. An angle bisector in...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
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(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 +sin0 0 dt2 where g 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0)~0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length...
Newtonian Cosmology 1. In class, we solved the Friedmann equation for the critical case, where the constant of integration was set to k 0; this resulted in the Einstein-de Sitter model, where a ox t2/3 Now, let us consider the closed case (k 1), where the universe starts with a Big Bang, reaches a maximum expansion, turns around, and eventually ends in a Big Crunch. For the closed model, it is convenient to write the Friedmann equation as follows: 8T...
3 Motion in Two or Three Dimensions Dashed arrows show how far the dart and monkey have fallen at specific times relative to where they would be without gravity At any time, they have fallen by the same amount. ilizer dart hits the falling monkey Without gravity The monkey remains in its initial position The dart travels straight to the monkey Therefore, the dart hits the monkey Monkey's fall Dart's Trajectory of dart without gravity d tan o fall Dart's...
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LOCATION: Cleveland, Ohio
DREAM LOCATION: Rome, Italy
PRECALCULUS: VECTORS Directions: Suppose that you plan to take a trip to your dream destination. You would like to know the shortest distance between your starting point and your destination. When calculating distances on a plane, you need only consider two dimensions because you are on a flat surface. However, when finding distances between two points on Earth, you must take into the account the curvature of...
The three figures below show a balanced three phase Delta, its Wye equivalent and the single phase equivalent of the three phase Wye. All three representations have a complex load ZALD or ZYLD and a complex line impedance ZLINE Refer to these diagrams when answering questions 1-4. ZLINE Vab= 679 L 30° ZLINE ZALD ZLINE = 2+1 DELTA ZALD= 18+24j2 LINE ZLINE ZLINE ZYLD 7yun WYE WYE ZYLD ZLINE ZLINE Van Complex Load ZYLD Single Line WYE 1) In the...
One example of computer-aided design (CAD) is building geometric structures inter- actively. In Chapter 4, we will look at ways in which we can model geometric objects comprised of polygons. Here, we want to examine the interactive part. Let’s start by writing an application that will let the user specify a series of axis- aligned rectangles interactively. Each rectangle can be defined by two mouse positions at diagonally opposite corners. Consider the event listener canvas.addEventListener("mousedown", function() { gl.bindBuffer(gl.ARRAY_BUFFER, vBuffer); if...
Question 1 Not yet answered Marked out of 1.00 Flag question Solve the following pair of simultaneous equations. -3.- 5y = -13, 5x + 4y = 26. Give your answers exactly, as integers or single fractions. The solution is: x = y= Question 2 Not yet answered Marked out of 1.00 Flag question Suppose that the number of atoms of a particular isotope at time t (in hours) is given by the exponential decay function f(t) = -0.578. By what...
1. Show all the atepa neceasary to convert 2.00 kilometera into milea atarting from 2.54 cm 1 inch. Explicitly ahow how the intermediate unita divide out in the converaion. 2. A poaition veotor ia alwaya drawn with ita tail at the origin. It haa unita of length and it locatea a point in a choaen coordinate ayatem. A diaplacement veotor ia drawn with ita tail anywhere in the coordinate apace. Diaplacement vectora alao have unita of length and repreaent the...