Find the remaining sides of a 30° - 60° - 90° triangle if the longest side is 10.
?
A. 
, 
B. 4, 
C. 3, 
D. 5, 
E. 
, 
Answer: D
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Solve the problem.In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the following two equations. H = 0.491 x + 0.468 y + 11.2 H = -0.981 x + 1.872y + 26.4If an athlete had a maximum heart rate of H = 169, determine the value of y graphically to the tenths place.
A. y = 159.5 B. y = 163.6 C. y = 163.9 D. y = 163.2
Simplify the expression by combining like terms.4y - y - 8y
A. -4y - y B. -5y C. -3y D. -4y
Solve the problem.The economy of Mongovia is composed of three industries: I, II, and III. Suppose that in order to produce $1 worth of industry I, it takes $0.02 worth of I, $0.20 worth of II and $0.30 worth of III. To produce $1 worth of industry II, its takes $0.05 worth of I, $0.02 worth of I, and $0.20 worth of III. To produce $1 worth of industry III, it takes $0.10 worth of I, $0.15 worth of II, and $0.02 worth of III.(a) Write the input-output matrix for this economy.(b) How much should each industry produce to allow for consumption at these levels: $3 million for I, $2 million for II, and $3 million for III?
What will be an ideal response?
Find the location of the center, vertices, and foci for the hyperbola described by the equation.(y + 1)2 - 64(x - 1)2 = 64
A. Center: (1, -1); Vertices: (-1, -8) and (1, 8); Foci: (1, - 
) and (1, 
)
B. Center: (-1, 1); Vertices: (-1, -7) and (-1, 9); Foci: (-1, 1 - 
) and (-1, 1 + 
)
C. Center: (1, -1); Vertices: (1, -9) and (1, 7); Foci: (1, -1 - 
) and (1, -1 + 
)
D. Center: (1, -1); Vertices: (2, -8) and (2, 8); Foci: (2, 0 - 
) and (2, 0 + 
)