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satela [25.4K]
4 years ago
5

Find the geometric mean of 9 and 20

Mathematics
1 answer:
Katyanochek1 [597]4 years ago
5 0
Geometric mean is the square root of the product of the two numbers:

9(20)=180

 \sqrt{180} = 13.416407
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If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?
KATRIN_1 [288]

9514 1404 393

Answer:

  (d)  36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

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If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

  d^2 = 20^2 +30^2 = 1300

  d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

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3 years ago
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500

Step-by-step explanation:

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irinina [24]
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3 years ago
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Please help me solve this equation
elena-s [515]

Answer:

m<U = 38degrees

Step-by-step explanation:

From the given diagram, <B = <U since both triangles are similar, hence;

Hence;

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Get m<U

m<U = 3y-16

m<U = 3(18) -16

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m<U = 38degrees

3 0
3 years ago
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