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Alona [7]
3 years ago
13

Find the unknown side length, x. Write your answer in simplest radical form.

Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

√41

Step-by-step explanation:

Considering the sides with lengths 48 and 52 units, we would use Pythagoras theorem to find the third side. Let that side be t

52² = 48² + t²

t² = 52² - 48²

= 2704 - 2304

= 400

t = √400

= 20

Considering the next triangle with sides t (20 units) and 12 units, again using the theorem

20² = 12² + y²

where y is the third side

400 = 144 + y²

y² = 400 - 144

= 256

y = √256

= 16 units

Considering the triangle with two sides given as 5 and 13 units, the third side (which is part of the 16 units calculated earlier)

13² = 5² + u²

where u is the 3rd side

169 = 25 + u²

u² = 169 - 25

u² = 144

u = √144

u = 12

The other part of the side of that triangle

= 16 - 12

= 4

Considering the smallest triangle whose sides are x, 5 and 4,

x² = 5² + 4²

= 25 + 16

= 41

x = √41

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Which best describes the numbers satisfying the inequality x &lt;7?
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The width of a human hair is 2 x 10-5 meters. The width of a piece of sand is 1.5 x 10¹ meters.
Elena L [17]

The difference in the widths, in meters, of the human hair and the piece of sand is 1.4998*10^{-1} m.

It is given in the question that:-

Width of a human hair = 2*10^{-5} m

Width of a piece of sand = 1.5*10^{-1}m

We have to find the difference in the widths, in meters, of the human hair and the piece of sand.

We know that,

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Hence, we can write,

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We can write,

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brainly.com/question/17156323

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