Solve the problem. If necessary, round to the nearest tenth.On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 m long and the tree is 40 m tall, how long is the shadow?
A. 90 m
B. 64 m
C. 30 m
D. 100 m
Answer: C
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Evaluate for the given x0 and function f.f(x) =
for x0 = 13
A.
B.
C.
D. Does not exist
Divide. ÷
A. 3x8 - 24x7 B. 9x11 - 8x4 C. 3x8 - 8x4 D. -5x15
Identify the basic feasible solution corresponding to the given simplex tableau. x1 x2 x3 x4 x5 M
A. x1 = 5, x2 = 2, x3 = 7, x4 = 27, x5 = 44, M = 0 B. x1 = 0, x2 = 0, x3 = 0, x4 = 27, x5 = 44, M = 0 C. x1 = -28, x2 = -20, x3 = -20, x4 = 0, x5 = 0, M = 1 D. x1 = 5, x2 = 2, x3 = 7, x4 = 1, x5 = 0, M = 0
Write a matrix to display the information.Train routes through cities V, W, X, Y, and Z are shown in the diagram. Assume that each city does not have a train route with itself. Write a 5 × 5 matrix in which rows (and columns) 1, 2, 3, 4, and 5 refer to V, W, X, Y, and Z, respectively. Make an element a 1 if the city for that row has a train route to the city for that column, and otherwise make the element a 0.
A.
B.
C.
D.