Find the exact value of the expression.sin 185° cos 65° - cos 185° sin 65°

A.
B. - 
C. - 
D.


Answer: D

Mathematics

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Given that p and q each represents a simple statement, write the indicated symbolic statement in words.p: The fan is working.q: The bedroom is stuffy.~ p ? q

A. The fan is working and the bedroom is stuffy. B. If the bedroom is stuffy, then the fan is not working. C. The fan is not working if and only if the bedroom is stuffy. D. The fan is not working and the bedroom is stuffy.

Mathematics

Solve the problem.A rectangular field is to be enclosed on four sides with a fence. Fencing costs  per foot for two opposite sides, and  per foot for the other two sides. Find the dimensions of the field of area  that would be the cheapest to enclose. Round to the nearest tenth.

A. 30 ft @ $4 by 24 ft @ $5 B. 24 ft @ $4 by 30 ft @ $5 C. 33.5 ft @ $4 by 21.5 ft @ $5 D. 21.5 ft @ $4 by 33.5 ft @ $5

Mathematics

Solve the problem.A restaurant bill of $94.26 was shared equally by 4 people. How much was each person's share? Round to the nearest cent.

A. $24.68 B. $23.68 C. $23.57 D. $24.57

Mathematics

Find the partial derivative.Find  for f(x, y, z) = 2x8y3 + 6x3z5 + 7y10.

A. 16x7y3 + 18x2z5  B. 16x7 + 18x2  C. 48x7y2 + 90x2z4 D. 6x8y2 + 30x3z4 

Mathematics