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In the diagram shown to the right, you are given that the line containing A-E is parallel to the line containing B-D. Given that the length of A-C is 10cm, (this is denoted A-C= 10cm) and that. A-B = 5.5 cm and that C-D = 4.75 cm, determine the length of CE.
If Sin A = 6/10 and Tan B = 5/12 where A and B are acute angles, find Sin (A+B), and cos 2B without using a calculator. All calculations must be carried out as fractions.
A person 55​-ft tall casts a shadow 1111​-ftft long. At the same​ time, a nearby tree casts a shadow 3131​-ft long. Find the height of the tree.
Determine the Fourier transform of the function :
{ 1-t 0≤t≤1
f(t)= { 1+t -1≤t≤0
{ 0 otherwise
If f(x)=cosx and x=2pie\15
Prove that 16f(x)f(2x)f(4x)f(7x)=1
1.Express cos4tita in terms of powere of
cos tita
2.G iven that sin tita=-3/5 and cos alpha=-2/5. Find sin(A+B) if 1. tita and alpha are acute 2. tita is acute and alpha is obtuse
A right triangle has a hypotenuse of length 7 mm and one leg of length 3 mm.

How long is the other leg?

a) 12.6 mm


b) 2 mm


c) 4 mm


d) 6.3 mm
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