Suppose that in a triangle we have . Then a= 16°, b=2, b=2, c=5 a B...
A triangle given by a (2, 2), b (5, 2), c (5, 5), is to be reflected about an arbitrary point (x, y). The new positions are given by (12, 8), (9, 8), (9, 5). Determine the values of x and y. Information about the question’s affiliation :- Dep. of Production Engineering and Metallurgy subject : Computer aided design and manufacturing
1. For any triangle ABC, we have a = b cos C +c cos B. Use (i) the Law of Sines and (ii) the extended Law of Sines to deduce the addition formula: sin(B+C) = sin B cos C+ cos B sin C. (Hint: There will be 2 types of proof, i.e. by (i) and by (ii))
Suppose C = {a,b,c, d, e} and suppose we have a relation y which is transi- tive, and reflexive, we have ayb, byc, ayd, aye, cya. 1. Find all arrows which are a consequence of the given relations, and the relation properties. 2. Draw a diagram of your 7. , and 3. Compute the subrelation , consisting of all reversible arrows in find the equivalence classes. [There are three] 4. Draw the relation on the equivalence classes. 5. If this...
4. In triangle ABC we are given the following: a = 16 cm, b = 20 cm, ZC = 70°. (i) Use the law of cosines to calculate the value of c to the nearest hundredth of a unit of length. (ii) Use the law of sines to calculate the measure of ZA to the nearest degree. (iii) Find the measure of ZB. (iv) Determine whether the given data produce one triangle, two triangles, or no triangle at all. (v)...
Consider a triangle ABC like the one below. Suppose that A=113, b=16, and c=45. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or". B-1: C-8: a- No solution x 6 ? Deshaun wants to know the length of a tunnel built through a mountain. To do so, he makes...
Find the area K of the triangle specified below. a=5, b= 16, c=19 The area Kis square units. (Do not round until the final answer. Then round to two decimal places as needed.)
Problem 2. Suppose we have 12 women and 4 men. If we divide these 16 people into 4 groups of size 4, what is the probability that each group contains a man?
16. + -/2 points My Notes Let S be the triangle with vertices A = (5, 5, 5), B = (7,5, 4), and C = (5, 6, 1). (a) Find the exact length of the shortest side of S. units (b) Find the exact value of the cosine of the angle BAC. COS(BAC) =
bu c a b Note: Triangle may not be drawn to scale. Suppose ZA = 30 and a = 16. ZB = 70 X Find an exact value (report answer as a fraction, use sqrt if necessary): C Submit Question Dimprivata
Advanced Calculus-2 proof: Suppose that we have two numbers a,b belong to R with a<=b. Suppose we have a continuous function f : [a,b] -> R. Then there are two numbers c,d belong to R with c<=d such that f([a,b]) = [c,d].