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Eva8 [605]
3 years ago
6

GEOMETRY HELP WILL MARK BRAINLIEST

Mathematics
2 answers:
ASHA 777 [7]3 years ago
3 0

Answer: x=12.49

10^2 + x^2= 16^2

100 + x^2= 256

x^2=156

x=12.49

photoshop1234 [79]3 years ago
3 0

Step-by-step explanation:

<u>Step 1:  Use Pythagorean Theorem</u>

a^2 + b^2 = c^2

10^2 + b^2 = 16^2

100 + b^2 = 256

100-100 + b^2 = 256-100

b^2 = 156

\sqrt{b^2}=\sqrt{156}

b = 12.48999599679679641169378624188

b = 12.49

Answer: 12.49

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zalisa [80]

Answer:

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Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

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Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
1 year ago
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3 years ago
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FrozenT [24]

Answer:

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Step-by-step explanation:

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