Solve the problem.A sail on a sailboat is supported by a mast and a boom. The length and direction of the mast and boom can be described by the vectors m = i - 4j + 5k and b = -2i + 3j + k, respectively, where the components are in meters. Find the angle (to the nearest tenth of a degree) between the mast and boom.

Fill in the blank(s) with the appropriate word(s).


?? 111.8°

Mathematics

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Find the standard deviation for each data set. Round to one more place than the data.5, 4, 6, 20, 5, 13, 12, 17, 14

A. 1.3 B. 5.9 C. 5.5 D. 6.3

Mathematics

Solve the equation for the indicated variable. Assume that the dimensions are such that matrix multiplication and addition are possible and that inverses exist when needed.Solve for A: AY - A = B

A. A = Y-1 B - I B. A = B(Y - I)-1  C. A = (Y - I)-1 B D. A = BY-1 + I

Mathematics

Graph the solution of the system of linear inequalities.

A.
 
B.
 
C.
 
D.
 

Mathematics

Find the missing length in the right triangle. If necessary, round to the nearest tenth.

A. 9 yd B. 10 yd C. 13 yd D. 7 yd

Mathematics