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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Evaluate the cylindrical coordinate integral.
A. 13,824? B. 1728? C. 122,880? D. 110,592?
Mathematics
Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.Zero of -2 having multiplicity 2 and zero of 4 having multiplicity 1; P(0) = - 16
A. P(x) = x3 - 2x2 - 8x - 16 B. P(x) = x3 - 12x2 - 16 C. P(x) = x3 - 12x - 16 D. P(x) = x3 + x2 - 12x - 16
Mathematics
Provide an appropriate response.List all positive integer pairs that have a product of 30.
A. 3, 10; 5, 6 B. 1, 30 C. 1, 30; 2, 15; 3, 10; 5, 6 D. 2, 15; 3, 10; 5, 6
Mathematics
Find functions f and g so that f ? g = H.H(x) = ?5x + 5?
A.
| f(x) = -?x?; | g(x) = 5x + 5 |
B.
| f(x) = ?x?; | g(x) = 5x + 5 |
C.
| f(x) = ?-x?; | g(x) = 5x - 5 |
D.
| f(x) = x; | g(x) = 5x + 5 |
Mathematics