If x ≠ 0, then x²/2x⁵ × 1000 is equivalent to
1 answer:
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Answer:
The angle between the ladder and the wall is of approximately 32 degrees , which agrees with the answer marked as "B" in the list of options.
Step-by-step explanation:
Notice that the wall and the floor make a right angle, and the ladder lining against the wall makes the hypotenuse of a right angle triangle.
See the attached image for explanation, and for the angle that we are trying to find, which is formed between the ladder and the wall.
Notice as well that the 8 ft section of the wall, is an "adjacent" side of the angle , and that the 5 ft segment between the wall and the base of the ladder is the "opposite" side to the angle.
We can then use the "tangent" of the angle which is defined as the quotient between the opposite side divided the adjacent side to investigate the measure of the angle
. We will use the "arctangent" to solve for the angle:
which can be rounded to
The conversion only gets tricky with the cubed labels. Keep in mind that cm^3 is cm*cm*cm, and that m^3 is m*m*m, AND that there are 100 cm in 1 meter. Here's how the conversion will look if we expand it to make it simple to understand: 
. If we do all that multiplying and dividing, and all the crossing out of the labels that cancel, we get 
. There you go!