Find the whole.192 hotels is 48% of what number of hotels?

A. 0.25
B. 400
C. 25
D. 4000


Answer: B

Mathematics

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Find the missing measurement in the figure. ?B = 45°, Arc AC = 3 cm, Circumference = ?

A. 48 cm B. 12 cm C. 6 cm D. 24 cm

Mathematics

Evaluate.Let a = . Find 9a.

A.
B.
C.
D.

Mathematics

Decide whether or not the points are the vertices of a right triangle.Consider the three points A = (-3, 3), B = (-1, 7), C = (1, 6). Determine whether the triangle ABC is a right triangle. Explain your reasoning.

A. The side lengths of triangle ABC are d(A, B) = 3, d(A, C) = 5, d(B, C) = .  
[d(A, B)]2 + [d(B, C)]2 = (3)2 + ()2 = 18 + 5 = 23 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
B. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 2, d(B, C) = 2.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + 22 = 20 + 4 = 24 
[d(A, C)]2 = (2)2 = 24
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
C. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 5, d(B, C) = 2.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + 22 = 20 + 4 = 24 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
D. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 5, d(B, C) = .  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + ()2 = 20 + 5 = 25 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.

Mathematics

Multiply.× 

A. 0.003825 B. 0.03825 C. 0.0003825 D. 0.3825

Mathematics