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sergejj [24]
3 years ago
13

Line segment KL is tangent to circle J at point K

Mathematics
2 answers:
MAVERICK [17]3 years ago
7 0

Answer:

10 units

Step-by-step explanation:

sdas [7]3 years ago
6 0

Answer:

Step-by-step explanation:

KL is tangent to the circle, so angle JKL = 90°.

Pythagorean Theorem:

r² + 24² = (r+16)²

r² + 576 = r² + 32r + 256

32r = 320

r = 10 units

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Answer:

11.4018 meters

Step-by-step explanation:

The ladder, wall and floor together form a right triangle with the length of the ladder being the hypotenuse, the distance of the foot of the ladder from the wall being one of the shorter sides and the distance between the top of the ladder and the floor being the other side

We can use the Pythagorean theorem to solve for the hypotenuse given the two sides

The general formula is:

c = \sqrt{a^{2} + b^{2}}

where c is the hypotenuse and a and b the other two sides

Substituting a = 7 and b = 9 gives:

c = \sqrt{a^{2} + b^{2}}\\\\c = \sqrt{7^{2} + 9^{2}}\\\\c = \sqrt{49 + 81}\\\\c = \sqrt{130}\\\\c = 11.4018

So length of ladder = 11.4018 meters

5 0
1 year ago
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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3 0
3 years ago
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