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3 years ago

What is the value of n in 2x3xnxn=54

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

8 0

54/(2X3)=54 divided by 6, =9 square root of 9 is 3

n=3

lukranit [14]3 years ago

6 0

6 x 18 x 3 = 324
also can you please make me brainliest user?

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Answer:

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Step-by-step explanation:

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9. A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

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Answer:

Part 4) $r=84\ units$

Part 9) $sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) $sin(\theta)=-\frac{9\sqrt{202}}{202}$

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

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The circumference of a circle subtends a central angle of 360 degrees

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$C=2\pi r$

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Remember the trigonometric identity

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we have

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we know that

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see the attached figure to better understand the problem

In the right triangle ABC of the figure

$sin(\theta)=\frac{BC}{AC}$

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substitute the given values

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$AC=\sqrt{202}\ units$

$sin(\theta)=\frac{9}{\sqrt{202}}$

simplify

$sin(\theta)=\frac{9\sqrt{202}}{202}$

Remember that

The point (11,-9) lies in Quadrant IV

then

The value of sin(∅) is negative

therefore

$sin(\theta)=-\frac{9\sqrt{202}}{202}$

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