<h3>
Answer: Approximately 56 inches</h3>
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Explanation:
The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.
We'll use the tangent rule to connect the opposite and adjacent sides.
tan(angle) = opposite/adjacent
tan(13) = 13/x
x*tan(13) = 13
x = 13/tan(13)
x = 56.309186365694
x = 56 inches is the approximate horizontal distance underneath the ramp
Answer:
d=8.06
Step-by-step explanation:
Answer:
The common ratio is -6
Step-by-step explanation:
The given sequence is
The common ratio can be found using any two consecutive terms of the geometric sequence.
The correct answer is the last choice.
Answer: Yes. When equations are modeled after real-world situations, they don't always result in
solutions that can be applied to the given situation, or may result in values that just don't
make sense.
Step-by-step explanation:
An unreasonable solution could be, for example, you want to make $1M in sales of your new rap song. If you sell 1 a day for .99 cents. How long will it take to make $1m? It would take 1,010,101 days or 2,767 + years. You may be living large—but you won’t live to see 2,767 birthdays so this is a solution, but an unreasonable one
Consider the attached figure. The central square is the "floor" of the box, and it is a (x-2)-by-(x-2) square.
The four rectangles of the side will be the "walls" of the box, and they are (x-2)-by-2 rectangles.
The volume is given by the base area multiplied by the height of the walls, so we have
