After a severe storm, three sisters, April, May, and June, stood on their front porch and noticed that the tree in their front yard was leaning 3° from vertical toward the house. From the porch, which is 96 feet away from the base of the tree, they noticed that the angle of elevation to the top of the tree was 31°. Approximate the height of the tree. Round answer to two decimal places.
?
A. 61.76 feet
B. 69.64 feet
C. 56 feet
D. 59.13 feet
E. 59.64 feet
Answer: C
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Provide an appropriate response.100% minus the single discount rate equals the complement of the discount rate.
A. True B. False
Find the requested composition of functions.Given f(x) = |12 - x| and g(x) = 3x + 8, find (g ? f)(x).
A. |4 + 3x| B. 3|12 - x| + 8 C. 3 + 8|12 - x| D. |4 - 3x|
The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the parabola and its associated equation.Equation of parabola: f(x) = 8x2 + 32x - 12; associated equation: 0 = 16x + 32
A. (2, -44) B. (2, 84) C. (-2, 84) D. (-2, -44)
Translate the ellipse with the given equation so that it is centered at the given point. Find the new equation and sketch its graph.
+ 
= 1; (-1, -1)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1