The perimeter of a sector includes two segments that are each equal to the radius, and the arc length. For your sector, the arc length is found as
perimeter = 4r = r + r + arc-length
2r = arc-length
Now we also know that arc-length is related to the central angle (in radians) by
arc-length = r*central-angle
2r = r*central-angle
2 = central-angle
The measure of the central angle of the sector is 2 radians.
By the Pythagorean theorem
50^2 = x^2 +(x +34)^2
2500 = 2x^2 +68x + 1156
x^2 +34x -672 = 0
(x -14)(x +48) = 0
x = 14 or -48
The distance from the wall to the base of the ladder is 14 ft.
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7-24-25 is a Pythagorean triple. The dimensions here are double those values. It can be handy to know a few of the Pythagorean triples, as that can let you write down the answers to problems without having to go through the equations.
Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>14</u></em></h2>
Step-by-step explanation:
7x + 9 = 9x - 19. <em>[</em><em>Corresponding</em><em> </em><em>Angles</em><em>]</em>
=> 9x - 19 = 7x + 9
=> 9x - 7x = 19 + 9
=> 2x = 28
=> <em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>14</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
38 units
Step-by-step explanation:
13+13=26
6+6=12
26+12=38
Answer:
the answer is A
Step-by-step explanation:
