What is the perimeter of the figure? A. 20 m B. 21 m C. 26 m D. 27 m
2 answers:
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<h2><u>ABSOLUTE VALUE</u></h2>
The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.
<h3>Exercise</h3>Replace the value of x:
The absolute value of a number is the numerical value of the number, without regard to its sign.
<h3><u>Answer.</u> 12</h3>
Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.