Solve the problem.A thief tries to enter a building by placing a ladder over a 10-foot high fence so that it rests against the building which is 3 ft back from the fence. What is the length of the shortest ladder that can be used? [Hint: Let ? be the angle between the ladder and the ground. Express the length of the ladder in terms of ? and find the value of ? that minimizes the length of the ladder.]
A. 18.38 ft
B. 17.07 ft
C. 17.43 ft
D. 17.55 ft
Answer: C
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Find the indicated product.(a + 6b)(x + y)
A. ax + 8bx + ay + 7by B. ax + 6bx + ay + by C. ax + 6bx + ay + 6by D. ax + 7bx + ay + 6by E. ax + bx + ay + 7by
Answer the question.Let H be the hyperplane through the three points ,
,
. Is the point v =
on the same side of H as the origin? Justify your answer.
A. Yes, because n ? v < 7. B. No, because n ? v > 3. C. Yes, because n ? v < 3. D. No, because n ? v > 0.
Find the x- and y-intercepts of f.f(x) = 2x5(x - 1)5
A. x-intercepts: 0, 1; y-intercept: 0 B. x-intercepts: 0, -1; y-intercept: 0 C. x-intercepts: 0, -1; y-intercept: 2 D. x-intercepts: 0, 1; y-intercept: 2
Make the indicated conversions. ? 1 mm ?
A. 1,000 mL B. 0.1 mi C. 0.1 cm D. 0.001 km E. 1,000 mg